%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN486+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:28 EDT 2022 % Result : Theorem 1.12s 1.29s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN486+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n005.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jul 11 22:56:07 EDT 2022 % 0.14/0.35 % CPUTime : % 1.12/1.29 (* PROOF-FOUND *) % 1.12/1.29 % SZS status Theorem % 1.12/1.29 (* BEGIN-PROOF *) % 1.12/1.29 % SZS output start Proof % 1.12/1.29 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a2174))/\((c2_1 (a2174))/\(~(c0_1 (a2174)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a2175))/\((~(c0_1 (a2175)))/\(~(c3_1 (a2175)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a2176))/\((~(c0_1 (a2176)))/\(~(c3_1 (a2176)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2177)))/\((~(c1_1 (a2177)))/\(~(c3_1 (a2177)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a2179))/\((c2_1 (a2179))/\(~(c3_1 (a2179)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a2180))/\((c3_1 (a2180))/\(~(c1_1 (a2180)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a2181))/\((c2_1 (a2181))/\(~(c3_1 (a2181)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a2182))/\((c3_1 (a2182))/\(~(c0_1 (a2182)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a2184))/\((c1_1 (a2184))/\(~(c3_1 (a2184)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))))/\(((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((hskp9)\/(hskp10)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16))/\(((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(hskp19)))/\(((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp28)\/(hskp20)))/\(((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp22)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp27)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp13)\/(hskp16)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10)))/\(((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7)))/\(((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19)))/\(((hskp8)\/((hskp4)\/(hskp23)))/\(((hskp5)\/((hskp2)\/(hskp19)))/\(((hskp5)\/((hskp19)\/(hskp16)))/\(((hskp15)\/((hskp3)\/(hskp16)))/\(((hskp13)\/((hskp0)\/(hskp10)))/\(((hskp13)\/((hskp24)\/(hskp14)))/\(((hskp21)\/((hskp25)\/(hskp22)))/\(((hskp24)\/((hskp26)\/(hskp17)))/\(((hskp24)\/((hskp2)\/(hskp9)))/\((hskp17)\/((hskp3)\/(hskp16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.12/1.29 Proof. % 1.12/1.29 assert (zenon_L1_ : (~(hskp13)) -> (hskp13) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1 zenon_H2. % 1.12/1.29 exact (zenon_H1 zenon_H2). % 1.12/1.29 (* end of lemma zenon_L1_ *) % 1.12/1.29 assert (zenon_L2_ : (~(hskp0)) -> (hskp0) -> False). % 1.12/1.29 do 0 intro. intros zenon_H3 zenon_H4. % 1.12/1.29 exact (zenon_H3 zenon_H4). % 1.12/1.29 (* end of lemma zenon_L2_ *) % 1.12/1.29 assert (zenon_L3_ : (~(hskp10)) -> (hskp10) -> False). % 1.12/1.29 do 0 intro. intros zenon_H5 zenon_H6. % 1.12/1.29 exact (zenon_H5 zenon_H6). % 1.12/1.29 (* end of lemma zenon_L3_ *) % 1.12/1.29 assert (zenon_L4_ : ((hskp13)\/((hskp0)\/(hskp10))) -> (~(hskp13)) -> (~(hskp0)) -> (~(hskp10)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.12/1.29 exact (zenon_H1 zenon_H2). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.12/1.29 exact (zenon_H3 zenon_H4). % 1.12/1.29 exact (zenon_H5 zenon_H6). % 1.12/1.29 (* end of lemma zenon_L4_ *) % 1.12/1.29 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.12/1.29 do 0 intro. intros zenon_H9 zenon_Ha. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 (* end of lemma zenon_L5_ *) % 1.12/1.29 assert (zenon_L6_ : (forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62)))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 1.12/1.29 generalize (zenon_Hb (a2191)). zenon_intro zenon_Hf. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 1.12/1.29 exact (zenon_Hc zenon_H12). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 1.12/1.29 exact (zenon_Hd zenon_H14). % 1.12/1.29 exact (zenon_H13 zenon_He). % 1.12/1.29 (* end of lemma zenon_L6_ *) % 1.12/1.29 assert (zenon_L7_ : (~(hskp15)) -> (hskp15) -> False). % 1.12/1.29 do 0 intro. intros zenon_H15 zenon_H16. % 1.12/1.29 exact (zenon_H15 zenon_H16). % 1.12/1.29 (* end of lemma zenon_L7_ *) % 1.12/1.29 assert (zenon_L8_ : ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H3. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 1.12/1.29 apply (zenon_L6_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H4 ]. % 1.12/1.29 exact (zenon_H15 zenon_H16). % 1.12/1.29 exact (zenon_H3 zenon_H4). % 1.12/1.29 (* end of lemma zenon_L8_ *) % 1.12/1.29 assert (zenon_L9_ : (~(hskp17)) -> (hskp17) -> False). % 1.12/1.29 do 0 intro. intros zenon_H19 zenon_H1a. % 1.12/1.29 exact (zenon_H19 zenon_H1a). % 1.12/1.29 (* end of lemma zenon_L9_ *) % 1.12/1.29 assert (zenon_L10_ : (~(hskp3)) -> (hskp3) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1b zenon_H1c. % 1.12/1.29 exact (zenon_H1b zenon_H1c). % 1.12/1.29 (* end of lemma zenon_L10_ *) % 1.12/1.29 assert (zenon_L11_ : (~(hskp16)) -> (hskp16) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1d zenon_H1e. % 1.12/1.29 exact (zenon_H1d zenon_H1e). % 1.12/1.29 (* end of lemma zenon_L11_ *) % 1.12/1.29 assert (zenon_L12_ : ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp17)) -> (~(hskp3)) -> (~(hskp16)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H1f zenon_H19 zenon_H1b zenon_H1d. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H1a | zenon_intro zenon_H20 ]. % 1.12/1.29 exact (zenon_H19 zenon_H1a). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 1.12/1.29 exact (zenon_H1b zenon_H1c). % 1.12/1.29 exact (zenon_H1d zenon_H1e). % 1.12/1.29 (* end of lemma zenon_L12_ *) % 1.12/1.29 assert (zenon_L13_ : (~(hskp8)) -> (hskp8) -> False). % 1.12/1.29 do 0 intro. intros zenon_H21 zenon_H22. % 1.12/1.29 exact (zenon_H21 zenon_H22). % 1.12/1.29 (* end of lemma zenon_L13_ *) % 1.12/1.29 assert (zenon_L14_ : (~(hskp4)) -> (hskp4) -> False). % 1.12/1.29 do 0 intro. intros zenon_H23 zenon_H24. % 1.12/1.29 exact (zenon_H23 zenon_H24). % 1.12/1.29 (* end of lemma zenon_L14_ *) % 1.12/1.29 assert (zenon_L15_ : (~(hskp23)) -> (hskp23) -> False). % 1.12/1.29 do 0 intro. intros zenon_H25 zenon_H26. % 1.12/1.29 exact (zenon_H25 zenon_H26). % 1.12/1.29 (* end of lemma zenon_L15_ *) % 1.12/1.29 assert (zenon_L16_ : ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> (~(hskp4)) -> (~(hskp23)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H27 zenon_H21 zenon_H23 zenon_H25. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H22 | zenon_intro zenon_H28 ]. % 1.12/1.29 exact (zenon_H21 zenon_H22). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.12/1.29 exact (zenon_H23 zenon_H24). % 1.12/1.29 exact (zenon_H25 zenon_H26). % 1.12/1.29 (* end of lemma zenon_L16_ *) % 1.12/1.29 assert (zenon_L17_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c2_1 (a2248))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H29 zenon_Ha zenon_H2a zenon_H2b zenon_H2c. % 1.12/1.29 generalize (zenon_H29 (a2248)). zenon_intro zenon_H2d. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 1.12/1.29 exact (zenon_H2a zenon_H30). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 1.12/1.29 exact (zenon_H2b zenon_H32). % 1.12/1.29 exact (zenon_H2c zenon_H31). % 1.12/1.29 (* end of lemma zenon_L17_ *) % 1.12/1.29 assert (zenon_L18_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H33 zenon_Ha zenon_H34 zenon_H35 zenon_H36. % 1.12/1.29 generalize (zenon_H33 (a2197)). zenon_intro zenon_H37. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H9 | zenon_intro zenon_H38 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 1.12/1.29 exact (zenon_H34 zenon_H3a). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.12/1.29 exact (zenon_H3c zenon_H35). % 1.12/1.29 exact (zenon_H3b zenon_H36). % 1.12/1.29 (* end of lemma zenon_L18_ *) % 1.12/1.29 assert (zenon_L19_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(hskp0)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H3d zenon_H3e zenon_H36 zenon_H35 zenon_H34 zenon_H3. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.29 apply (zenon_L17_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.29 apply (zenon_L18_); trivial. % 1.12/1.29 exact (zenon_H3 zenon_H4). % 1.12/1.29 (* end of lemma zenon_L19_ *) % 1.12/1.29 assert (zenon_L20_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H42 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.29 apply (zenon_L16_); trivial. % 1.12/1.29 apply (zenon_L19_); trivial. % 1.12/1.29 (* end of lemma zenon_L20_ *) % 1.12/1.29 assert (zenon_L21_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H1b zenon_H1d zenon_H1f. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.29 apply (zenon_L12_); trivial. % 1.12/1.29 apply (zenon_L20_); trivial. % 1.12/1.29 (* end of lemma zenon_L21_ *) % 1.12/1.29 assert (zenon_L22_ : (~(hskp24)) -> (hskp24) -> False). % 1.12/1.29 do 0 intro. intros zenon_H47 zenon_H48. % 1.12/1.29 exact (zenon_H47 zenon_H48). % 1.12/1.29 (* end of lemma zenon_L22_ *) % 1.12/1.29 assert (zenon_L23_ : (~(hskp2)) -> (hskp2) -> False). % 1.12/1.29 do 0 intro. intros zenon_H49 zenon_H4a. % 1.12/1.29 exact (zenon_H49 zenon_H4a). % 1.12/1.29 (* end of lemma zenon_L23_ *) % 1.12/1.29 assert (zenon_L24_ : (~(hskp9)) -> (hskp9) -> False). % 1.12/1.29 do 0 intro. intros zenon_H4b zenon_H4c. % 1.12/1.29 exact (zenon_H4b zenon_H4c). % 1.12/1.29 (* end of lemma zenon_L24_ *) % 1.12/1.29 assert (zenon_L25_ : ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp24)) -> (~(hskp2)) -> (~(hskp9)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H4d zenon_H47 zenon_H49 zenon_H4b. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H48 | zenon_intro zenon_H4e ]. % 1.12/1.29 exact (zenon_H47 zenon_H48). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 1.12/1.29 exact (zenon_H49 zenon_H4a). % 1.12/1.29 exact (zenon_H4b zenon_H4c). % 1.12/1.29 (* end of lemma zenon_L25_ *) % 1.12/1.29 assert (zenon_L26_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c0_1 (a2194)) -> (c1_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H4f zenon_Ha zenon_H50 zenon_H51 zenon_H52. % 1.12/1.29 generalize (zenon_H4f (a2194)). zenon_intro zenon_H53. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H9 | zenon_intro zenon_H54 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 1.12/1.29 exact (zenon_H56 zenon_H50). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 1.12/1.29 exact (zenon_H58 zenon_H51). % 1.12/1.29 exact (zenon_H57 zenon_H52). % 1.12/1.29 (* end of lemma zenon_L26_ *) % 1.12/1.29 assert (zenon_L27_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H59 zenon_Ha zenon_H4f zenon_H50 zenon_H52 zenon_H5a. % 1.12/1.29 generalize (zenon_H59 (a2194)). zenon_intro zenon_H5b. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H9 | zenon_intro zenon_H5c ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H5d ]. % 1.12/1.29 apply (zenon_L26_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5e | zenon_intro zenon_H56 ]. % 1.12/1.29 exact (zenon_H5a zenon_H5e). % 1.12/1.29 exact (zenon_H56 zenon_H50). % 1.12/1.29 (* end of lemma zenon_L27_ *) % 1.12/1.29 assert (zenon_L28_ : (~(hskp27)) -> (hskp27) -> False). % 1.12/1.29 do 0 intro. intros zenon_H5f zenon_H60. % 1.12/1.29 exact (zenon_H5f zenon_H60). % 1.12/1.29 (* end of lemma zenon_L28_ *) % 1.12/1.29 assert (zenon_L29_ : (~(hskp22)) -> (hskp22) -> False). % 1.12/1.29 do 0 intro. intros zenon_H61 zenon_H62. % 1.12/1.29 exact (zenon_H61 zenon_H62). % 1.12/1.29 (* end of lemma zenon_L29_ *) % 1.12/1.29 assert (zenon_L30_ : (~(hskp30)) -> (hskp30) -> False). % 1.12/1.29 do 0 intro. intros zenon_H63 zenon_H64. % 1.12/1.29 exact (zenon_H63 zenon_H64). % 1.12/1.29 (* end of lemma zenon_L30_ *) % 1.12/1.29 assert (zenon_L31_ : (~(hskp1)) -> (hskp1) -> False). % 1.12/1.29 do 0 intro. intros zenon_H65 zenon_H66. % 1.12/1.29 exact (zenon_H65 zenon_H66). % 1.12/1.29 (* end of lemma zenon_L31_ *) % 1.12/1.29 assert (zenon_L32_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c0_1 (a2208)) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H4f zenon_Ha zenon_H67 zenon_H68 zenon_H69. % 1.12/1.29 generalize (zenon_H4f (a2208)). zenon_intro zenon_H6a. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H6b ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 1.12/1.29 exact (zenon_H6d zenon_H67). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ]. % 1.12/1.29 exact (zenon_H6f zenon_H68). % 1.12/1.29 exact (zenon_H6e zenon_H69). % 1.12/1.29 (* end of lemma zenon_L32_ *) % 1.12/1.29 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H70 zenon_H71 zenon_H5f zenon_H61. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H4f | zenon_intro zenon_H74 ]. % 1.12/1.29 apply (zenon_L32_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ]. % 1.12/1.29 exact (zenon_H5f zenon_H60). % 1.12/1.29 exact (zenon_H61 zenon_H62). % 1.12/1.29 (* end of lemma zenon_L33_ *) % 1.12/1.29 assert (zenon_L34_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_H5a zenon_H52 zenon_H50 zenon_Ha zenon_H65 zenon_H76. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H4f | zenon_intro zenon_H74 ]. % 1.12/1.29 apply (zenon_L27_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ]. % 1.12/1.29 exact (zenon_H5f zenon_H60). % 1.12/1.29 exact (zenon_H61 zenon_H62). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.29 exact (zenon_H63 zenon_H64). % 1.12/1.29 exact (zenon_H65 zenon_H66). % 1.12/1.29 apply (zenon_L33_); trivial. % 1.12/1.29 (* end of lemma zenon_L34_ *) % 1.12/1.29 assert (zenon_L35_ : (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c3_1 (a2262)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H78 zenon_Ha zenon_H79 zenon_H7a zenon_H7b. % 1.12/1.29 generalize (zenon_H78 (a2262)). zenon_intro zenon_H7c. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 1.12/1.29 exact (zenon_H79 zenon_H7f). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 1.12/1.29 generalize (zenon_H7a (a2262)). zenon_intro zenon_H82. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H9 | zenon_intro zenon_H83 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H7f | zenon_intro zenon_H84 ]. % 1.12/1.29 exact (zenon_H79 zenon_H7f). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H85 | zenon_intro zenon_H80 ]. % 1.12/1.29 exact (zenon_H85 zenon_H81). % 1.12/1.29 exact (zenon_H80 zenon_H7b). % 1.12/1.29 exact (zenon_H80 zenon_H7b). % 1.12/1.29 (* end of lemma zenon_L35_ *) % 1.12/1.29 assert (zenon_L36_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H86 zenon_Ha zenon_H87 zenon_H88 zenon_H89. % 1.12/1.29 generalize (zenon_H86 (a2195)). zenon_intro zenon_H8a. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H9 | zenon_intro zenon_H8b ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 1.12/1.29 exact (zenon_H87 zenon_H8d). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 1.12/1.29 exact (zenon_H88 zenon_H8f). % 1.12/1.29 exact (zenon_H89 zenon_H8e). % 1.12/1.29 (* end of lemma zenon_L36_ *) % 1.12/1.29 assert (zenon_L37_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H90 zenon_Ha zenon_H91 zenon_H92 zenon_H93 zenon_H94. % 1.12/1.29 generalize (zenon_H90 (a2178)). zenon_intro zenon_H95. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H9 | zenon_intro zenon_H96 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 1.12/1.29 generalize (zenon_H91 (a2178)). zenon_intro zenon_H99. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 1.12/1.29 exact (zenon_H9c zenon_H98). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 1.12/1.29 exact (zenon_H9e zenon_H92). % 1.12/1.29 exact (zenon_H9d zenon_H93). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9f | zenon_intro zenon_H9d ]. % 1.12/1.29 exact (zenon_H9f zenon_H94). % 1.12/1.29 exact (zenon_H9d zenon_H93). % 1.12/1.29 (* end of lemma zenon_L37_ *) % 1.12/1.29 assert (zenon_L38_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.12/1.29 generalize (zenon_Ha0 (a2178)). zenon_intro zenon_Ha1. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Ha1); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha2 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H9f | zenon_intro zenon_H9b ]. % 1.12/1.29 exact (zenon_H9f zenon_H94). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 1.12/1.29 exact (zenon_H9e zenon_H92). % 1.12/1.29 exact (zenon_H9d zenon_H93). % 1.12/1.29 (* end of lemma zenon_L38_ *) % 1.12/1.29 assert (zenon_L39_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H91 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.29 apply (zenon_L36_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.29 apply (zenon_L37_); trivial. % 1.12/1.29 apply (zenon_L38_); trivial. % 1.12/1.29 (* end of lemma zenon_L39_ *) % 1.12/1.29 assert (zenon_L40_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (c0_1 (a2178)) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp2)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Ha5 zenon_H7b zenon_H79 zenon_H78 zenon_H93 zenon_H92 zenon_H94 zenon_Ha zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H49. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha6 ]. % 1.12/1.29 apply (zenon_L35_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H91 | zenon_intro zenon_H4a ]. % 1.12/1.29 apply (zenon_L39_); trivial. % 1.12/1.29 exact (zenon_H49 zenon_H4a). % 1.12/1.29 (* end of lemma zenon_L40_ *) % 1.12/1.29 assert (zenon_L41_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_H5a zenon_H50 zenon_H52. % 1.12/1.29 generalize (zenon_Ha7 (a2194)). zenon_intro zenon_Ha8. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Ha8); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha9 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H5e | zenon_intro zenon_Haa ]. % 1.12/1.29 exact (zenon_H5a zenon_H5e). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ]. % 1.12/1.29 exact (zenon_H56 zenon_H50). % 1.12/1.29 exact (zenon_H57 zenon_H52). % 1.12/1.29 (* end of lemma zenon_L41_ *) % 1.12/1.29 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hab zenon_Hac zenon_H49 zenon_H79 zenon_H7b zenon_Ha5 zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.12/1.29 apply (zenon_L40_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.12/1.29 apply (zenon_L41_); trivial. % 1.12/1.29 apply (zenon_L39_); trivial. % 1.12/1.29 (* end of lemma zenon_L42_ *) % 1.12/1.29 assert (zenon_L43_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c2_1 (a2262)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hb0 zenon_Ha zenon_H79 zenon_Hb1 zenon_H81. % 1.12/1.29 generalize (zenon_Hb0 (a2262)). zenon_intro zenon_Hb2. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hb2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb3 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H7f | zenon_intro zenon_Hb4 ]. % 1.12/1.29 exact (zenon_H79 zenon_H7f). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H85 ]. % 1.12/1.29 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.29 exact (zenon_H85 zenon_H81). % 1.12/1.29 (* end of lemma zenon_L43_ *) % 1.12/1.29 assert (zenon_L44_ : (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H78 zenon_Ha zenon_H79 zenon_Hb0 zenon_Hb1 zenon_H7b. % 1.12/1.29 generalize (zenon_H78 (a2262)). zenon_intro zenon_H7c. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 1.12/1.29 exact (zenon_H79 zenon_H7f). % 1.12/1.29 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 1.12/1.29 apply (zenon_L43_); trivial. % 1.12/1.29 exact (zenon_H80 zenon_H7b). % 1.12/1.29 (* end of lemma zenon_L44_ *) % 1.12/1.29 assert (zenon_L45_ : (~(hskp18)) -> (hskp18) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hb6 zenon_Hb7. % 1.12/1.29 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.29 (* end of lemma zenon_L45_ *) % 1.12/1.29 assert (zenon_L46_ : (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (ndr1_0) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hb8 zenon_Ha zenon_Hb9 zenon_Hba zenon_Hbb. % 1.12/1.29 generalize (zenon_Hb8 (a2219)). zenon_intro zenon_Hbc. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbd ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 1.12/1.29 exact (zenon_Hb9 zenon_Hbf). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 1.12/1.29 exact (zenon_Hba zenon_Hc1). % 1.12/1.29 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.29 (* end of lemma zenon_L46_ *) % 1.12/1.29 assert (zenon_L47_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp18)) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hc2 zenon_Hc3 zenon_Hb6 zenon_Hc zenon_Hd zenon_He zenon_Hc4 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.12/1.29 apply (zenon_L44_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.12/1.29 apply (zenon_L6_); trivial. % 1.12/1.29 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.29 apply (zenon_L46_); trivial. % 1.12/1.29 exact (zenon_H5 zenon_H6). % 1.12/1.29 (* end of lemma zenon_L47_ *) % 1.12/1.29 assert (zenon_L48_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hc3 zenon_H5 zenon_Hc zenon_Hd zenon_He zenon_Hb6 zenon_Hc4 zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.29 apply (zenon_L25_); trivial. % 1.12/1.29 apply (zenon_L47_); trivial. % 1.12/1.29 (* end of lemma zenon_L48_ *) % 1.12/1.29 assert (zenon_L49_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H59 zenon_Ha zenon_Hcd zenon_Hce zenon_Hcf. % 1.12/1.29 generalize (zenon_H59 (a2198)). zenon_intro zenon_Hd0. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd1 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 1.12/1.29 exact (zenon_Hcd zenon_Hd3). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 1.12/1.29 exact (zenon_Hce zenon_Hd5). % 1.12/1.29 exact (zenon_Hd4 zenon_Hcf). % 1.12/1.29 (* end of lemma zenon_L49_ *) % 1.12/1.29 assert (zenon_L50_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H76 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha zenon_H63 zenon_H65. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.29 apply (zenon_L49_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.29 exact (zenon_H63 zenon_H64). % 1.12/1.29 exact (zenon_H65 zenon_H66). % 1.12/1.29 (* end of lemma zenon_L50_ *) % 1.12/1.29 assert (zenon_L51_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.12/1.29 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_Ha zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.29 apply (zenon_L50_); trivial. % 1.12/1.29 apply (zenon_L33_); trivial. % 1.12/1.29 (* end of lemma zenon_L51_ *) % 1.12/1.29 assert (zenon_L52_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a2219))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hd6 zenon_Ha zenon_Hd7 zenon_Hb9 zenon_Hbb. % 1.12/1.29 generalize (zenon_Hd6 (a2219)). zenon_intro zenon_Hd8. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hd8); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd9 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 1.12/1.29 exact (zenon_Hd7 zenon_Hdb). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ]. % 1.12/1.29 exact (zenon_Hb9 zenon_Hbf). % 1.12/1.29 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.29 (* end of lemma zenon_L52_ *) % 1.12/1.29 assert (zenon_L53_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2219))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hdc zenon_Ha zenon_Hba zenon_Hd6 zenon_Hb9 zenon_Hbb. % 1.12/1.29 generalize (zenon_Hdc (a2219)). zenon_intro zenon_Hdd. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hde ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hdf ]. % 1.12/1.29 exact (zenon_Hba zenon_Hc1). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc0 ]. % 1.12/1.29 apply (zenon_L52_); trivial. % 1.12/1.29 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.29 (* end of lemma zenon_L53_ *) % 1.12/1.29 assert (zenon_L54_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hc3 zenon_Hd6 zenon_Hcd zenon_Hce zenon_Hcf zenon_H79 zenon_H7b zenon_He0 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.12/1.29 apply (zenon_L35_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.12/1.29 apply (zenon_L49_); trivial. % 1.12/1.29 apply (zenon_L53_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.29 apply (zenon_L46_); trivial. % 1.12/1.29 exact (zenon_H5 zenon_H6). % 1.12/1.29 (* end of lemma zenon_L54_ *) % 1.12/1.29 assert (zenon_L55_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2262)) -> False). % 1.12/1.29 do 0 intro. intros zenon_He2 zenon_Ha zenon_H79 zenon_Hb0 zenon_Hb1. % 1.12/1.29 generalize (zenon_He2 (a2262)). zenon_intro zenon_He3. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_H9 | zenon_intro zenon_He4 ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H7f | zenon_intro zenon_He5 ]. % 1.12/1.29 exact (zenon_H79 zenon_H7f). % 1.12/1.29 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H81 | zenon_intro zenon_Hb5 ]. % 1.12/1.29 apply (zenon_L43_); trivial. % 1.12/1.29 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.29 (* end of lemma zenon_L55_ *) % 1.12/1.29 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2219)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hc2 zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_Hbb zenon_Hb9 zenon_Hba zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.29 apply (zenon_L50_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.29 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He8 ]. % 1.12/1.29 apply (zenon_L54_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_He2 | zenon_intro zenon_H1c ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.12/1.29 apply (zenon_L54_); trivial. % 1.12/1.29 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.12/1.29 apply (zenon_L55_); trivial. % 1.12/1.29 apply (zenon_L32_); trivial. % 1.12/1.29 exact (zenon_H1b zenon_H1c). % 1.12/1.29 (* end of lemma zenon_L56_ *) % 1.12/1.29 assert (zenon_L57_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.29 apply (zenon_L25_); trivial. % 1.12/1.29 apply (zenon_L56_); trivial. % 1.12/1.29 (* end of lemma zenon_L57_ *) % 1.12/1.29 assert (zenon_L58_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hea zenon_Heb zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H76 zenon_H65 zenon_H50 zenon_H52 zenon_H5a zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_He zenon_Hd zenon_Hc zenon_H5 zenon_Hc3 zenon_Hed. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.29 apply (zenon_L25_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.29 apply (zenon_L34_); trivial. % 1.12/1.29 apply (zenon_L42_); trivial. % 1.12/1.29 apply (zenon_L48_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.29 apply (zenon_L25_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.29 apply (zenon_L51_); trivial. % 1.12/1.29 apply (zenon_L42_); trivial. % 1.12/1.29 apply (zenon_L57_); trivial. % 1.12/1.29 (* end of lemma zenon_L58_ *) % 1.12/1.29 assert (zenon_L59_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_Heb zenon_He6 zenon_He7 zenon_He0 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_H5 zenon_Hc3 zenon_Hed zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3e zenon_H43 zenon_H46 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.29 apply (zenon_L8_); trivial. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.29 apply (zenon_L21_); trivial. % 1.12/1.29 apply (zenon_L58_); trivial. % 1.12/1.29 (* end of lemma zenon_L59_ *) % 1.12/1.29 assert (zenon_L60_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> False). % 1.12/1.29 do 0 intro. intros zenon_Hf8 zenon_Ha zenon_Hf9 zenon_Hfa zenon_Hfb. % 1.12/1.29 generalize (zenon_Hf8 (a2186)). zenon_intro zenon_Hfc. % 1.12/1.29 apply (zenon_imply_s _ _ zenon_Hfc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfd ]. % 1.12/1.29 exact (zenon_H9 zenon_Ha). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ]. % 1.12/1.29 exact (zenon_Hf9 zenon_Hff). % 1.12/1.29 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 1.12/1.29 exact (zenon_Hfa zenon_H101). % 1.12/1.29 exact (zenon_H100 zenon_Hfb). % 1.12/1.29 (* end of lemma zenon_L60_ *) % 1.12/1.29 assert (zenon_L61_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2262)) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c3_1 (a2262)) -> False). % 1.12/1.29 do 0 intro. intros zenon_H91 zenon_Ha zenon_Hb1 zenon_H102 zenon_H7b. % 1.12/1.30 generalize (zenon_H91 (a2262)). zenon_intro zenon_H103. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H9 | zenon_intro zenon_H104 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ]. % 1.12/1.30 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H85 | zenon_intro zenon_H80 ]. % 1.12/1.30 generalize (zenon_H102 (a2262)). zenon_intro zenon_H105. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H9 | zenon_intro zenon_H106 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H81 | zenon_intro zenon_H107 ]. % 1.12/1.30 exact (zenon_H85 zenon_H81). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H80 ]. % 1.12/1.30 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.30 exact (zenon_H80 zenon_H7b). % 1.12/1.30 exact (zenon_H80 zenon_H7b). % 1.12/1.30 (* end of lemma zenon_L61_ *) % 1.12/1.30 assert (zenon_L62_ : ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a2262)) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a2262)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp16)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H108 zenon_H7b zenon_H102 zenon_Hb1 zenon_Ha zenon_H5f zenon_H1d. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H91 | zenon_intro zenon_H109 ]. % 1.12/1.30 apply (zenon_L61_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H60 | zenon_intro zenon_H1e ]. % 1.12/1.30 exact (zenon_H5f zenon_H60). % 1.12/1.30 exact (zenon_H1d zenon_H1e). % 1.12/1.30 (* end of lemma zenon_L62_ *) % 1.12/1.30 assert (zenon_L63_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp16)) -> (~(hskp27)) -> (ndr1_0) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp0)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d zenon_H5f zenon_Ha zenon_Hb1 zenon_H7b zenon_H108 zenon_H3. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.30 apply (zenon_L62_); trivial. % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 (* end of lemma zenon_L63_ *) % 1.12/1.30 assert (zenon_L64_ : (~(hskp11)) -> (hskp11) -> False). % 1.12/1.30 do 0 intro. intros zenon_H10c zenon_H10d. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 (* end of lemma zenon_L64_ *) % 1.12/1.30 assert (zenon_L65_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> (~(hskp1)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hab zenon_H10e zenon_H10c zenon_H65. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H10f ]. % 1.12/1.30 apply (zenon_L38_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H10d | zenon_intro zenon_H66 ]. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 exact (zenon_H65 zenon_H66). % 1.12/1.30 (* end of lemma zenon_L65_ *) % 1.12/1.30 assert (zenon_L66_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H108 zenon_H1d zenon_H3 zenon_H10a zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L25_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.30 apply (zenon_L63_); trivial. % 1.12/1.30 apply (zenon_L65_); trivial. % 1.12/1.30 (* end of lemma zenon_L66_ *) % 1.12/1.30 assert (zenon_L67_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H7b zenon_Hb1 zenon_H79 zenon_Hb0 zenon_Ha zenon_H3. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.30 generalize (zenon_H102 (a2262)). zenon_intro zenon_H105. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H9 | zenon_intro zenon_H106 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H81 | zenon_intro zenon_H107 ]. % 1.12/1.30 apply (zenon_L43_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H80 ]. % 1.12/1.30 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.30 exact (zenon_H80 zenon_H7b). % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 (* end of lemma zenon_L67_ *) % 1.12/1.30 assert (zenon_L68_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hea zenon_Hca zenon_H110 zenon_H3 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L25_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.12/1.30 apply (zenon_L67_); trivial. % 1.12/1.30 apply (zenon_L36_); trivial. % 1.12/1.30 (* end of lemma zenon_L68_ *) % 1.12/1.30 assert (zenon_L69_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c3_1 (a2187)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H90 zenon_Ha zenon_H112 zenon_H113 zenon_H114. % 1.12/1.30 generalize (zenon_H90 (a2187)). zenon_intro zenon_H115. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H9 | zenon_intro zenon_H116 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.12/1.30 exact (zenon_H112 zenon_H118). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 1.12/1.30 exact (zenon_H11a zenon_H113). % 1.12/1.30 exact (zenon_H119 zenon_H114). % 1.12/1.30 (* end of lemma zenon_L69_ *) % 1.12/1.30 assert (zenon_L70_ : (forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62)))))) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2187)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hb zenon_Ha zenon_H112 zenon_H90 zenon_H113. % 1.12/1.30 generalize (zenon_Hb (a2187)). zenon_intro zenon_H11b. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H9 | zenon_intro zenon_H11c ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H118 | zenon_intro zenon_H11d ]. % 1.12/1.30 exact (zenon_H112 zenon_H118). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H114 | zenon_intro zenon_H11a ]. % 1.12/1.30 apply (zenon_L69_); trivial. % 1.12/1.30 exact (zenon_H11a zenon_H113). % 1.12/1.30 (* end of lemma zenon_L70_ *) % 1.12/1.30 assert (zenon_L71_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62)))))) -> (~(hskp13)) -> (~(hskp16)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H11e zenon_H113 zenon_H112 zenon_Ha zenon_Hb zenon_H1 zenon_H1d. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H90 | zenon_intro zenon_H11f ]. % 1.12/1.30 apply (zenon_L70_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H2 | zenon_intro zenon_H1e ]. % 1.12/1.30 exact (zenon_H1 zenon_H2). % 1.12/1.30 exact (zenon_H1d zenon_H1e). % 1.12/1.30 (* end of lemma zenon_L71_ *) % 1.12/1.30 assert (zenon_L72_ : ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp16)) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H17 zenon_H1d zenon_H1 zenon_Ha zenon_H112 zenon_H113 zenon_H11e zenon_H15 zenon_H3. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 1.12/1.30 apply (zenon_L71_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H4 ]. % 1.12/1.30 exact (zenon_H15 zenon_H16). % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 (* end of lemma zenon_L72_ *) % 1.12/1.30 assert (zenon_L73_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H102 zenon_Ha zenon_H5a zenon_H59 zenon_H50 zenon_H52. % 1.12/1.30 generalize (zenon_H102 (a2194)). zenon_intro zenon_H120. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_H9 | zenon_intro zenon_H121 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H5e | zenon_intro zenon_H55 ]. % 1.12/1.30 exact (zenon_H5a zenon_H5e). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 1.12/1.30 generalize (zenon_H59 (a2194)). zenon_intro zenon_H5b. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H9 | zenon_intro zenon_H5c ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H5d ]. % 1.12/1.30 exact (zenon_H58 zenon_H51). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5e | zenon_intro zenon_H56 ]. % 1.12/1.30 exact (zenon_H5a zenon_H5e). % 1.12/1.30 exact (zenon_H56 zenon_H50). % 1.12/1.30 exact (zenon_H57 zenon_H52). % 1.12/1.30 (* end of lemma zenon_L73_ *) % 1.12/1.30 assert (zenon_L74_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H122 zenon_H1d zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H102. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.30 apply (zenon_L73_); trivial. % 1.12/1.30 exact (zenon_H1d zenon_H1e). % 1.12/1.30 (* end of lemma zenon_L74_ *) % 1.12/1.30 assert (zenon_L75_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Ha zenon_H5a zenon_H50 zenon_H52 zenon_H1d zenon_H122 zenon_H3. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.30 apply (zenon_L74_); trivial. % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 (* end of lemma zenon_L75_ *) % 1.12/1.30 assert (zenon_L76_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hca zenon_H110 zenon_H49 zenon_H4b zenon_H4d zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L75_); trivial. % 1.12/1.30 apply (zenon_L68_); trivial. % 1.12/1.30 (* end of lemma zenon_L76_ *) % 1.12/1.30 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_Hca zenon_H110 zenon_H49 zenon_H4b zenon_H4d zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.30 apply (zenon_L8_); trivial. % 1.12/1.30 apply (zenon_L76_); trivial. % 1.12/1.30 (* end of lemma zenon_L77_ *) % 1.12/1.30 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf4 zenon_Hca zenon_H110 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H49 zenon_H4b zenon_H4d zenon_H11e zenon_H3 zenon_H17 zenon_H122 zenon_Hf3. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L72_); trivial. % 1.12/1.30 apply (zenon_L68_); trivial. % 1.12/1.30 apply (zenon_L76_); trivial. % 1.12/1.30 apply (zenon_L77_); trivial. % 1.12/1.30 (* end of lemma zenon_L78_ *) % 1.12/1.30 assert (zenon_L79_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H12b zenon_H127 zenon_H11e zenon_H17 zenon_H122 zenon_Hf3 zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H108 zenon_H3 zenon_H10a zenon_H49 zenon_H4b zenon_H4d zenon_H110 zenon_Hf4. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L66_); trivial. % 1.12/1.30 apply (zenon_L68_); trivial. % 1.12/1.30 apply (zenon_L78_); trivial. % 1.12/1.30 (* end of lemma zenon_L79_ *) % 1.12/1.30 assert (zenon_L80_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hd6 zenon_Ha zenon_H12c zenon_H12d zenon_H12e. % 1.12/1.30 generalize (zenon_Hd6 (a2185)). zenon_intro zenon_H12f. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H9 | zenon_intro zenon_H130 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 1.12/1.30 exact (zenon_H12c zenon_H132). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 1.12/1.30 exact (zenon_H12d zenon_H134). % 1.12/1.30 exact (zenon_H133 zenon_H12e). % 1.12/1.30 (* end of lemma zenon_L80_ *) % 1.12/1.30 assert (zenon_L81_ : (~(hskp5)) -> (hskp5) -> False). % 1.12/1.30 do 0 intro. intros zenon_H135 zenon_H136. % 1.12/1.30 exact (zenon_H135 zenon_H136). % 1.12/1.30 (* end of lemma zenon_L81_ *) % 1.12/1.30 assert (zenon_L82_ : (~(hskp6)) -> (hskp6) -> False). % 1.12/1.30 do 0 intro. intros zenon_H137 zenon_H138. % 1.12/1.30 exact (zenon_H137 zenon_H138). % 1.12/1.30 (* end of lemma zenon_L82_ *) % 1.12/1.30 assert (zenon_L83_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H139 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H135 zenon_H137. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H13a ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H136 | zenon_intro zenon_H138 ]. % 1.12/1.30 exact (zenon_H135 zenon_H136). % 1.12/1.30 exact (zenon_H137 zenon_H138). % 1.12/1.30 (* end of lemma zenon_L83_ *) % 1.12/1.30 assert (zenon_L84_ : (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H13b zenon_Ha zenon_H13c zenon_H13d zenon_H13e. % 1.12/1.30 generalize (zenon_H13b (a2184)). zenon_intro zenon_H13f. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_H9 | zenon_intro zenon_H140 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 1.12/1.30 exact (zenon_H13c zenon_H142). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 1.12/1.30 exact (zenon_H144 zenon_H13d). % 1.12/1.30 exact (zenon_H143 zenon_H13e). % 1.12/1.30 (* end of lemma zenon_L84_ *) % 1.12/1.30 assert (zenon_L85_ : (~(hskp29)) -> (hskp29) -> False). % 1.12/1.30 do 0 intro. intros zenon_H145 zenon_H146. % 1.12/1.30 exact (zenon_H145 zenon_H146). % 1.12/1.30 (* end of lemma zenon_L85_ *) % 1.12/1.30 assert (zenon_L86_ : ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H145 zenon_H4b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.30 apply (zenon_L84_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H146 | zenon_intro zenon_H4c ]. % 1.12/1.30 exact (zenon_H145 zenon_H146). % 1.12/1.30 exact (zenon_H4b zenon_H4c). % 1.12/1.30 (* end of lemma zenon_L86_ *) % 1.12/1.30 assert (zenon_L87_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H91 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.12/1.30 generalize (zenon_H91 (a2196)). zenon_intro zenon_H14c. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H9 | zenon_intro zenon_H14d ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 1.12/1.30 exact (zenon_H14f zenon_H149). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.12/1.30 exact (zenon_H151 zenon_H14a). % 1.12/1.30 exact (zenon_H150 zenon_H14b). % 1.12/1.30 (* end of lemma zenon_L87_ *) % 1.12/1.30 assert (zenon_L88_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Ha5 zenon_H7b zenon_H79 zenon_H78 zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H49. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha6 ]. % 1.12/1.30 apply (zenon_L35_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H91 | zenon_intro zenon_H4a ]. % 1.12/1.30 apply (zenon_L87_); trivial. % 1.12/1.30 exact (zenon_H49 zenon_H4a). % 1.12/1.30 (* end of lemma zenon_L88_ *) % 1.12/1.30 assert (zenon_L89_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H152 zenon_Hac zenon_H49 zenon_H79 zenon_H7b zenon_Ha5 zenon_H52 zenon_H50 zenon_H5a. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.12/1.30 apply (zenon_L88_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.12/1.30 apply (zenon_L41_); trivial. % 1.12/1.30 apply (zenon_L87_); trivial. % 1.12/1.30 (* end of lemma zenon_L89_ *) % 1.12/1.30 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hf5 zenon_Hca zenon_H155 zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L25_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.30 apply (zenon_L86_); trivial. % 1.12/1.30 apply (zenon_L89_); trivial. % 1.12/1.30 (* end of lemma zenon_L90_ *) % 1.12/1.30 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hca zenon_H155 zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H49 zenon_H4b zenon_H4d zenon_H3 zenon_H17. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.30 apply (zenon_L8_); trivial. % 1.12/1.30 apply (zenon_L90_); trivial. % 1.12/1.30 (* end of lemma zenon_L91_ *) % 1.12/1.30 assert (zenon_L92_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H127 zenon_Hf3 zenon_Hca zenon_H155 zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H49 zenon_H4b zenon_H4d zenon_H17 zenon_H3 zenon_H5 zenon_H7. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.30 apply (zenon_L4_); trivial. % 1.12/1.30 apply (zenon_L91_); trivial. % 1.12/1.30 (* end of lemma zenon_L92_ *) % 1.12/1.30 assert (zenon_L93_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H156 zenon_H12b zenon_H127 zenon_H11e zenon_H17 zenon_H122 zenon_Hf3 zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H108 zenon_H3 zenon_H10a zenon_H49 zenon_H4b zenon_H4d zenon_H110 zenon_Hf4. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.30 apply (zenon_L79_); trivial. % 1.12/1.30 (* end of lemma zenon_L93_ *) % 1.12/1.30 assert (zenon_L94_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((hskp13)\/((hskp0)\/(hskp10))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H159 zenon_H12b zenon_H11e zenon_H122 zenon_Hec zenon_H10e zenon_H65 zenon_H108 zenon_H10a zenon_H110 zenon_Hf4 zenon_H7 zenon_H3 zenon_H17 zenon_H4d zenon_H4b zenon_H49 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_Hac zenon_H155 zenon_Hca zenon_Hf3 zenon_H127. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.12/1.30 apply (zenon_L92_); trivial. % 1.12/1.30 apply (zenon_L93_); trivial. % 1.12/1.30 (* end of lemma zenon_L94_ *) % 1.12/1.30 assert (zenon_L95_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H15a zenon_H139 zenon_H135 zenon_H137. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.12/1.30 apply (zenon_L83_); trivial. % 1.12/1.30 (* end of lemma zenon_L95_ *) % 1.12/1.30 assert (zenon_L96_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H15d zenon_H139 zenon_H137 zenon_H135 zenon_H127 zenon_Hf3 zenon_Hca zenon_H155 zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H49 zenon_H4d zenon_H17 zenon_H3 zenon_H7 zenon_Hf4 zenon_H110 zenon_H10a zenon_H108 zenon_H65 zenon_H10e zenon_Hec zenon_H122 zenon_H11e zenon_H12b zenon_H159. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.12/1.30 apply (zenon_L94_); trivial. % 1.12/1.30 apply (zenon_L95_); trivial. % 1.12/1.30 (* end of lemma zenon_L96_ *) % 1.12/1.30 assert (zenon_L97_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hdc zenon_Ha zenon_H15e zenon_H15f zenon_H160 zenon_H161. % 1.12/1.30 generalize (zenon_Hdc (a2181)). zenon_intro zenon_H162. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 1.12/1.30 generalize (zenon_H15f (a2181)). zenon_intro zenon_H168. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_H9 | zenon_intro zenon_H169 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 1.12/1.30 exact (zenon_H167 zenon_H16b). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H165 | zenon_intro zenon_H16c ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 exact (zenon_H16c zenon_H160). % 1.12/1.30 exact (zenon_H166 zenon_H161). % 1.12/1.30 (* end of lemma zenon_L97_ *) % 1.12/1.30 assert (zenon_L98_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H16d zenon_H161 zenon_H160 zenon_H15f zenon_H15e zenon_Ha zenon_H10c zenon_H5. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H16e ]. % 1.12/1.30 apply (zenon_L97_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H10d | zenon_intro zenon_H6 ]. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 exact (zenon_H5 zenon_H6). % 1.12/1.30 (* end of lemma zenon_L98_ *) % 1.12/1.30 assert (zenon_L99_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp10)) -> (~(hskp11)) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp29)) -> (~(hskp17)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H16f zenon_H5 zenon_H10c zenon_Ha zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H145 zenon_H19. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H15f | zenon_intro zenon_H170 ]. % 1.12/1.30 apply (zenon_L98_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H146 | zenon_intro zenon_H1a ]. % 1.12/1.30 exact (zenon_H145 zenon_H146). % 1.12/1.30 exact (zenon_H19 zenon_H1a). % 1.12/1.30 (* end of lemma zenon_L99_ *) % 1.12/1.30 assert (zenon_L100_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2181))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H171 zenon_Ha zenon_H167 zenon_H15e zenon_H161. % 1.12/1.30 generalize (zenon_H171 (a2181)). zenon_intro zenon_H172. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H9 | zenon_intro zenon_H173 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H16b | zenon_intro zenon_H174 ]. % 1.12/1.30 exact (zenon_H167 zenon_H16b). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H165 | zenon_intro zenon_H166 ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 exact (zenon_H166 zenon_H161). % 1.12/1.30 (* end of lemma zenon_L100_ *) % 1.12/1.30 assert (zenon_L101_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hdc zenon_Ha zenon_H15e zenon_H171 zenon_H161. % 1.12/1.30 generalize (zenon_Hdc (a2181)). zenon_intro zenon_H162. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 1.12/1.30 apply (zenon_L100_); trivial. % 1.12/1.30 exact (zenon_H166 zenon_H161). % 1.12/1.30 (* end of lemma zenon_L101_ *) % 1.12/1.30 assert (zenon_L102_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H16d zenon_H161 zenon_H171 zenon_H15e zenon_Ha zenon_H10c zenon_H5. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H16e ]. % 1.12/1.30 apply (zenon_L101_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H10d | zenon_intro zenon_H6 ]. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 exact (zenon_H5 zenon_H6). % 1.12/1.30 (* end of lemma zenon_L102_ *) % 1.12/1.30 assert (zenon_L103_ : (forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H175 zenon_Ha zenon_H15e zenon_H160 zenon_H161. % 1.12/1.30 generalize (zenon_H175 (a2181)). zenon_intro zenon_H176. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H176); [ zenon_intro zenon_H9 | zenon_intro zenon_H177 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H165 | zenon_intro zenon_H178 ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16c | zenon_intro zenon_H166 ]. % 1.12/1.30 exact (zenon_H16c zenon_H160). % 1.12/1.30 exact (zenon_H166 zenon_H161). % 1.12/1.30 (* end of lemma zenon_L103_ *) % 1.12/1.30 assert (zenon_L104_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_H7a zenon_H14a zenon_H14b. % 1.12/1.30 generalize (zenon_Ha0 (a2196)). zenon_intro zenon_H179. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H9 | zenon_intro zenon_H17a ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17b | zenon_intro zenon_H14e ]. % 1.12/1.30 generalize (zenon_H7a (a2196)). zenon_intro zenon_H17c. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H9 | zenon_intro zenon_H17d ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17e | zenon_intro zenon_H14e ]. % 1.12/1.30 exact (zenon_H17b zenon_H17e). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.12/1.30 exact (zenon_H151 zenon_H14a). % 1.12/1.30 exact (zenon_H150 zenon_H14b). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.12/1.30 exact (zenon_H151 zenon_H14a). % 1.12/1.30 exact (zenon_H150 zenon_H14b). % 1.12/1.30 (* end of lemma zenon_L104_ *) % 1.12/1.30 assert (zenon_L105_ : (~(hskp7)) -> (hskp7) -> False). % 1.12/1.30 do 0 intro. intros zenon_H17f zenon_H180. % 1.12/1.30 exact (zenon_H17f zenon_H180). % 1.12/1.30 (* end of lemma zenon_L105_ *) % 1.12/1.30 assert (zenon_L106_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H181 zenon_H161 zenon_H160 zenon_H15e zenon_H14b zenon_H14a zenon_H7a zenon_Ha zenon_H17f. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.12/1.30 apply (zenon_L103_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.12/1.30 apply (zenon_L104_); trivial. % 1.12/1.30 exact (zenon_H17f zenon_H180). % 1.12/1.30 (* end of lemma zenon_L106_ *) % 1.12/1.30 assert (zenon_L107_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H46 zenon_H3e zenon_H3 zenon_H27 zenon_H23 zenon_H21 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H181 zenon_H17f zenon_H183 zenon_H155 zenon_H43. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.30 apply (zenon_L16_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.30 apply (zenon_L99_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.12/1.30 apply (zenon_L17_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.12/1.30 apply (zenon_L102_); trivial. % 1.12/1.30 apply (zenon_L106_); trivial. % 1.12/1.30 apply (zenon_L20_); trivial. % 1.12/1.30 (* end of lemma zenon_L107_ *) % 1.12/1.30 assert (zenon_L108_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp22)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H185 zenon_H161 zenon_H160 zenon_H15e zenon_Ha zenon_H3 zenon_H61. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H175 | zenon_intro zenon_H186 ]. % 1.12/1.30 apply (zenon_L103_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H4 | zenon_intro zenon_H62 ]. % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 exact (zenon_H61 zenon_H62). % 1.12/1.30 (* end of lemma zenon_L108_ *) % 1.12/1.30 assert (zenon_L109_ : (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H13b zenon_Ha zenon_H15e zenon_H171 zenon_H161 zenon_H160. % 1.12/1.30 generalize (zenon_H13b (a2181)). zenon_intro zenon_H187. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_H9 | zenon_intro zenon_H188 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H165 | zenon_intro zenon_H189 ]. % 1.12/1.30 exact (zenon_H15e zenon_H165). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H167 | zenon_intro zenon_H16c ]. % 1.12/1.30 apply (zenon_L100_); trivial. % 1.12/1.30 exact (zenon_H16c zenon_H160). % 1.12/1.30 (* end of lemma zenon_L109_ *) % 1.12/1.30 assert (zenon_L110_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18a zenon_H5a zenon_H52 zenon_H50 zenon_H15e zenon_H171 zenon_H161 zenon_H160 zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H49. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H59 | zenon_intro zenon_H18c ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L46_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.12/1.30 apply (zenon_L109_); trivial. % 1.12/1.30 apply (zenon_L27_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H4a ]. % 1.12/1.30 apply (zenon_L46_); trivial. % 1.12/1.30 exact (zenon_H49 zenon_H4a). % 1.12/1.30 (* end of lemma zenon_L110_ *) % 1.12/1.30 assert (zenon_L111_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H18e zenon_Ha zenon_H112 zenon_H113 zenon_H12a. % 1.12/1.30 generalize (zenon_H18e (a2187)). zenon_intro zenon_H18f. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_H9 | zenon_intro zenon_H190 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H118 | zenon_intro zenon_H191 ]. % 1.12/1.30 exact (zenon_H112 zenon_H118). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H11a | zenon_intro zenon_H192 ]. % 1.12/1.30 exact (zenon_H11a zenon_H113). % 1.12/1.30 exact (zenon_H192 zenon_H12a). % 1.12/1.30 (* end of lemma zenon_L111_ *) % 1.12/1.30 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hf5 zenon_Hed zenon_H193 zenon_H12a zenon_H113 zenon_H112 zenon_H18b zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H3 zenon_H185. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.30 apply (zenon_L108_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.12/1.30 apply (zenon_L110_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.12/1.30 apply (zenon_L111_); trivial. % 1.12/1.30 apply (zenon_L41_); trivial. % 1.12/1.30 (* end of lemma zenon_L112_ *) % 1.12/1.30 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hed zenon_H193 zenon_H12a zenon_H113 zenon_H112 zenon_H18b zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_H3 zenon_H17. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.30 apply (zenon_L8_); trivial. % 1.12/1.30 apply (zenon_L112_); trivial. % 1.12/1.30 (* end of lemma zenon_L113_ *) % 1.12/1.30 assert (zenon_L114_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_Hed zenon_H193 zenon_H18b zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_H17 zenon_H3 zenon_H5 zenon_H7. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.30 apply (zenon_L4_); trivial. % 1.12/1.30 apply (zenon_L113_); trivial. % 1.12/1.30 (* end of lemma zenon_L114_ *) % 1.12/1.30 assert (zenon_L115_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((hskp13)\/((hskp0)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_Hed zenon_H193 zenon_H18b zenon_H49 zenon_H18a zenon_H185 zenon_H17 zenon_H7 zenon_H43 zenon_H155 zenon_H183 zenon_H17f zenon_H181 zenon_H16d zenon_H5 zenon_H161 zenon_H160 zenon_H15e zenon_H16f zenon_H21 zenon_H23 zenon_H27 zenon_H3 zenon_H3e zenon_H46. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.30 apply (zenon_L107_); trivial. % 1.12/1.30 apply (zenon_L114_); trivial. % 1.12/1.30 (* end of lemma zenon_L115_ *) % 1.12/1.30 assert (zenon_L116_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((hskp13)\/((hskp0)\/(hskp10))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H159 zenon_H11e zenon_H122 zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H108 zenon_H10a zenon_H4b zenon_H4d zenon_H110 zenon_Hf4 zenon_H46 zenon_H3e zenon_H3 zenon_H27 zenon_H23 zenon_H21 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H181 zenon_H17f zenon_H183 zenon_H155 zenon_H43 zenon_H7 zenon_H17 zenon_H185 zenon_H18a zenon_H49 zenon_H18b zenon_H193 zenon_Hed zenon_Hf3 zenon_H127 zenon_H12b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.12/1.30 apply (zenon_L115_); trivial. % 1.12/1.30 apply (zenon_L93_); trivial. % 1.12/1.30 (* end of lemma zenon_L116_ *) % 1.12/1.30 assert (zenon_L117_ : (~(hskp26)) -> (hskp26) -> False). % 1.12/1.30 do 0 intro. intros zenon_H195 zenon_H196. % 1.12/1.30 exact (zenon_H195 zenon_H196). % 1.12/1.30 (* end of lemma zenon_L117_ *) % 1.12/1.30 assert (zenon_L118_ : ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp24)) -> (~(hskp26)) -> (~(hskp17)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H197 zenon_H47 zenon_H195 zenon_H19. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H48 | zenon_intro zenon_H198 ]. % 1.12/1.30 exact (zenon_H47 zenon_H48). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a ]. % 1.12/1.30 exact (zenon_H195 zenon_H196). % 1.12/1.30 exact (zenon_H19 zenon_H1a). % 1.12/1.30 (* end of lemma zenon_L118_ *) % 1.12/1.30 assert (zenon_L119_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (c1_1 (a2268)) -> False). % 1.12/1.30 do 0 intro. intros zenon_He2 zenon_Ha zenon_H199 zenon_H19a zenon_H19b. % 1.12/1.30 generalize (zenon_He2 (a2268)). zenon_intro zenon_H19c. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H19c); [ zenon_intro zenon_H9 | zenon_intro zenon_H19d ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 1.12/1.30 exact (zenon_H199 zenon_H19f). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 1.12/1.30 exact (zenon_H19a zenon_H1a1). % 1.12/1.30 exact (zenon_H1a0 zenon_H19b). % 1.12/1.30 (* end of lemma zenon_L119_ *) % 1.12/1.30 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp3)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1a2 zenon_He6 zenon_H12e zenon_H12d zenon_H12c zenon_H1b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He8 ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_He2 | zenon_intro zenon_H1c ]. % 1.12/1.30 apply (zenon_L119_); trivial. % 1.12/1.30 exact (zenon_H1b zenon_H1c). % 1.12/1.30 (* end of lemma zenon_L120_ *) % 1.12/1.30 assert (zenon_L121_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H47 zenon_H19 zenon_H197. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.12/1.30 apply (zenon_L118_); trivial. % 1.12/1.30 apply (zenon_L120_); trivial. % 1.12/1.30 (* end of lemma zenon_L121_ *) % 1.12/1.30 assert (zenon_L122_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hb1 zenon_H79 zenon_He2 zenon_Ha zenon_H87 zenon_H88 zenon_H89. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.12/1.30 apply (zenon_L55_); trivial. % 1.12/1.30 apply (zenon_L36_); trivial. % 1.12/1.30 (* end of lemma zenon_L122_ *) % 1.12/1.30 assert (zenon_L123_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp3)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hc2 zenon_He6 zenon_H12e zenon_H12d zenon_H12c zenon_H89 zenon_H88 zenon_H87 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H110 zenon_H1b. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He8 ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_He2 | zenon_intro zenon_H1c ]. % 1.12/1.30 apply (zenon_L122_); trivial. % 1.12/1.30 exact (zenon_H1b zenon_H1c). % 1.12/1.30 (* end of lemma zenon_L123_ *) % 1.12/1.30 assert (zenon_L124_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H87 zenon_H88 zenon_H89 zenon_H110 zenon_H197 zenon_H19 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L121_); trivial. % 1.12/1.30 apply (zenon_L123_); trivial. % 1.12/1.30 (* end of lemma zenon_L124_ *) % 1.12/1.30 assert (zenon_L125_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hea zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.30 apply (zenon_L124_); trivial. % 1.12/1.30 apply (zenon_L20_); trivial. % 1.12/1.30 (* end of lemma zenon_L125_ *) % 1.12/1.30 assert (zenon_L126_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H156 zenon_Hf4 zenon_H1a5 zenon_He6 zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hca zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L21_); trivial. % 1.12/1.30 apply (zenon_L125_); trivial. % 1.12/1.30 (* end of lemma zenon_L126_ *) % 1.12/1.30 assert (zenon_L127_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_Hdc zenon_H13c zenon_H13d zenon_H13e. % 1.12/1.30 generalize (zenon_H1a6 (a2184)). zenon_intro zenon_H1a7. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a8 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H141 ]. % 1.12/1.30 generalize (zenon_Hdc (a2184)). zenon_intro zenon_H1aa. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ab ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ac ]. % 1.12/1.30 exact (zenon_H13c zenon_H142). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H144 | zenon_intro zenon_H1ad ]. % 1.12/1.30 exact (zenon_H144 zenon_H13d). % 1.12/1.30 exact (zenon_H1ad zenon_H1a9). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 1.12/1.30 exact (zenon_H144 zenon_H13d). % 1.12/1.30 exact (zenon_H143 zenon_H13e). % 1.12/1.30 (* end of lemma zenon_L127_ *) % 1.12/1.30 assert (zenon_L128_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (~(hskp11)) -> (~(hskp10)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H16d zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1a6 zenon_H10c zenon_H5. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H16e ]. % 1.12/1.30 apply (zenon_L127_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H10d | zenon_intro zenon_H6 ]. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 exact (zenon_H5 zenon_H6). % 1.12/1.30 (* end of lemma zenon_L128_ *) % 1.12/1.30 assert (zenon_L129_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1ae zenon_H5 zenon_H10c zenon_H16d zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_Hb6. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1af ]. % 1.12/1.30 apply (zenon_L128_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H13b | zenon_intro zenon_Hb7 ]. % 1.12/1.30 apply (zenon_L84_); trivial. % 1.12/1.30 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.30 (* end of lemma zenon_L129_ *) % 1.12/1.30 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hf0 zenon_H122 zenon_H1d. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.30 apply (zenon_L49_); trivial. % 1.12/1.30 exact (zenon_H1d zenon_H1e). % 1.12/1.30 (* end of lemma zenon_L130_ *) % 1.12/1.30 assert (zenon_L131_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Heb zenon_H122 zenon_H1d zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1ae. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.30 apply (zenon_L129_); trivial. % 1.12/1.30 apply (zenon_L130_); trivial. % 1.12/1.30 (* end of lemma zenon_L131_ *) % 1.12/1.30 assert (zenon_L132_ : (~(hskp28)) -> (hskp28) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1b0 zenon_H1b1. % 1.12/1.30 exact (zenon_H1b0 zenon_H1b1). % 1.12/1.30 (* end of lemma zenon_L132_ *) % 1.12/1.30 assert (zenon_L133_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1b2 zenon_H89 zenon_H88 zenon_H87 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b0. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H86 | zenon_intro zenon_H1b3 ]. % 1.12/1.30 apply (zenon_L36_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b1 ]. % 1.12/1.30 apply (zenon_L6_); trivial. % 1.12/1.30 exact (zenon_H1b0 zenon_H1b1). % 1.12/1.30 (* end of lemma zenon_L133_ *) % 1.12/1.30 assert (zenon_L134_ : (forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109)))))) -> (ndr1_0) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1b4 zenon_Ha zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.12/1.30 generalize (zenon_H1b4 (a2188)). zenon_intro zenon_H1b8. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b9 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 1.12/1.30 exact (zenon_H1bb zenon_H1b5). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 1.12/1.30 exact (zenon_H1bd zenon_H1b6). % 1.12/1.30 exact (zenon_H1bc zenon_H1b7). % 1.12/1.30 (* end of lemma zenon_L134_ *) % 1.12/1.30 assert (zenon_L135_ : (~(hskp12)) -> (hskp12) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1be zenon_H1bf. % 1.12/1.30 exact (zenon_H1be zenon_H1bf). % 1.12/1.30 (* end of lemma zenon_L135_ *) % 1.12/1.30 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp12)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1c0 zenon_H1c1 zenon_H5 zenon_H10c zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H1be. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.12/1.30 apply (zenon_L128_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.12/1.30 apply (zenon_L134_); trivial. % 1.12/1.30 exact (zenon_H1be zenon_H1bf). % 1.12/1.30 (* end of lemma zenon_L136_ *) % 1.12/1.30 assert (zenon_L137_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hea zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.12/1.30 apply (zenon_L133_); trivial. % 1.12/1.30 apply (zenon_L136_); trivial. % 1.12/1.30 (* end of lemma zenon_L137_ *) % 1.12/1.30 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H123 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L131_); trivial. % 1.12/1.30 apply (zenon_L137_); trivial. % 1.12/1.30 (* end of lemma zenon_L138_ *) % 1.12/1.30 assert (zenon_L139_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H127 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H122 zenon_Heb zenon_H3 zenon_H5 zenon_H7. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.30 apply (zenon_L4_); trivial. % 1.12/1.30 apply (zenon_L138_); trivial. % 1.12/1.30 (* end of lemma zenon_L139_ *) % 1.12/1.30 assert (zenon_L140_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1c6 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.12/1.30 generalize (zenon_H1c6 (a2189)). zenon_intro zenon_H1ca. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1ca); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cb ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 1.12/1.30 exact (zenon_H1c7 zenon_H1cd). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 1.12/1.30 exact (zenon_H1c8 zenon_H1cf). % 1.12/1.30 exact (zenon_H1ce zenon_H1c9). % 1.12/1.30 (* end of lemma zenon_L140_ *) % 1.12/1.30 assert (zenon_L141_ : (~(hskp14)) -> (hskp14) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1d0 zenon_H1d1. % 1.12/1.30 exact (zenon_H1d0 zenon_H1d1). % 1.12/1.30 (* end of lemma zenon_L141_ *) % 1.12/1.30 assert (zenon_L142_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1d2 zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H1d0. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.12/1.30 apply (zenon_L98_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.12/1.30 apply (zenon_L140_); trivial. % 1.12/1.30 exact (zenon_H1d0 zenon_H1d1). % 1.12/1.30 (* end of lemma zenon_L142_ *) % 1.12/1.30 assert (zenon_L143_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp11)) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1d4 zenon_H10c zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H19 zenon_H5. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1d5 ]. % 1.12/1.30 apply (zenon_L128_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 1.12/1.30 exact (zenon_H19 zenon_H1a). % 1.12/1.30 exact (zenon_H5 zenon_H6). % 1.12/1.30 (* end of lemma zenon_L143_ *) % 1.12/1.30 assert (zenon_L144_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H90 zenon_Ha zenon_H1d6 zenon_H78 zenon_H1d7 zenon_H1d8. % 1.12/1.30 generalize (zenon_H90 (a2193)). zenon_intro zenon_H1d9. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1da ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 1.12/1.30 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 1.12/1.30 generalize (zenon_H78 (a2193)). zenon_intro zenon_H1df. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e0 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 1.12/1.30 exact (zenon_H1de zenon_H1e2). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1dd ]. % 1.12/1.30 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.30 exact (zenon_H1dd zenon_H1d8). % 1.12/1.30 exact (zenon_H1dd zenon_H1d8). % 1.12/1.30 (* end of lemma zenon_L144_ *) % 1.12/1.30 assert (zenon_L145_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a2197))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hf8 zenon_Ha zenon_H1e4 zenon_H34 zenon_H36. % 1.12/1.30 generalize (zenon_Hf8 (a2197)). zenon_intro zenon_H1e5. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 1.12/1.30 exact (zenon_H1e4 zenon_H1e8). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 1.12/1.30 exact (zenon_H34 zenon_H3a). % 1.12/1.30 exact (zenon_H3b zenon_H36). % 1.12/1.30 (* end of lemma zenon_L145_ *) % 1.12/1.30 assert (zenon_L146_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_Hf8 zenon_H34 zenon_H36 zenon_H35. % 1.12/1.30 generalize (zenon_Ha0 (a2197)). zenon_intro zenon_H1e9. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H39 ]. % 1.12/1.30 apply (zenon_L145_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.12/1.30 exact (zenon_H3c zenon_H35). % 1.12/1.30 exact (zenon_H3b zenon_H36). % 1.12/1.30 (* end of lemma zenon_L146_ *) % 1.12/1.30 assert (zenon_L147_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H78 zenon_H1d6 zenon_Ha zenon_Hf8 zenon_H34 zenon_H36 zenon_H35. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.30 apply (zenon_L36_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.30 apply (zenon_L144_); trivial. % 1.12/1.30 apply (zenon_L146_); trivial. % 1.12/1.30 (* end of lemma zenon_L147_ *) % 1.12/1.30 assert (zenon_L148_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36))))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_H1c7 zenon_H1eb zenon_H1c8 zenon_H1c9. % 1.12/1.30 generalize (zenon_H1a6 (a2189)). zenon_intro zenon_H1ec. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ed ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ee ]. % 1.12/1.30 exact (zenon_H1c7 zenon_H1cd). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ce ]. % 1.12/1.30 generalize (zenon_H1eb (a2189)). zenon_intro zenon_H1f0. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f1 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1f2 ]. % 1.12/1.30 exact (zenon_H1ef zenon_H1f3). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cf ]. % 1.12/1.30 exact (zenon_H1c7 zenon_H1cd). % 1.12/1.30 exact (zenon_H1c8 zenon_H1cf). % 1.12/1.30 exact (zenon_H1ce zenon_H1c9). % 1.12/1.30 (* end of lemma zenon_L148_ *) % 1.12/1.30 assert (zenon_L149_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (c3_1 (a2197)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H90 zenon_Ha zenon_H34 zenon_Hf8 zenon_H36. % 1.12/1.30 generalize (zenon_H90 (a2197)). zenon_intro zenon_H1f4. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H1f4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f5 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H3a | zenon_intro zenon_H1f6 ]. % 1.12/1.30 exact (zenon_H34 zenon_H3a). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H3b ]. % 1.12/1.30 apply (zenon_L145_); trivial. % 1.12/1.30 exact (zenon_H3b zenon_H36). % 1.12/1.30 (* end of lemma zenon_L149_ *) % 1.12/1.30 assert (zenon_L150_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H42 zenon_H1f7 zenon_H1f8 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1f9 zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.30 apply (zenon_L147_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.30 apply (zenon_L148_); trivial. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.12/1.30 apply (zenon_L149_); trivial. % 1.12/1.30 exact (zenon_H10c zenon_H10d). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.12/1.30 apply (zenon_L98_); trivial. % 1.12/1.30 apply (zenon_L140_); trivial. % 1.12/1.30 (* end of lemma zenon_L150_ *) % 1.12/1.30 assert (zenon_L151_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H1f7 zenon_H15e zenon_H160 zenon_H161 zenon_H1f8 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha3 zenon_H1f9 zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.30 apply (zenon_L131_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.30 apply (zenon_L143_); trivial. % 1.12/1.30 apply (zenon_L150_); trivial. % 1.12/1.30 (* end of lemma zenon_L151_ *) % 1.12/1.30 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf4 zenon_H46 zenon_H1f7 zenon_H1f8 zenon_Ha3 zenon_H1f9 zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H122 zenon_Heb zenon_H16d zenon_H5 zenon_H10c zenon_H161 zenon_H160 zenon_H15e zenon_H1d2. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.30 apply (zenon_L142_); trivial. % 1.12/1.30 apply (zenon_L151_); trivial. % 1.12/1.30 (* end of lemma zenon_L152_ *) % 1.12/1.30 assert (zenon_L153_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H12b zenon_Hf3 zenon_Hed zenon_H193 zenon_H18b zenon_H49 zenon_H18a zenon_H185 zenon_H17 zenon_H127 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1b2 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H122 zenon_Heb zenon_H3 zenon_H5 zenon_H7 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H1d4 zenon_H1f9 zenon_Ha3 zenon_H1f8 zenon_H1f7 zenon_H46 zenon_H201 zenon_H204. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.30 apply (zenon_L139_); trivial. % 1.12/1.30 apply (zenon_L152_); trivial. % 1.12/1.30 apply (zenon_L114_); trivial. % 1.12/1.30 (* end of lemma zenon_L153_ *) % 1.12/1.30 assert (zenon_L154_ : (~(hskp21)) -> (hskp21) -> False). % 1.12/1.30 do 0 intro. intros zenon_H205 zenon_H206. % 1.12/1.30 exact (zenon_H205 zenon_H206). % 1.12/1.30 (* end of lemma zenon_L154_ *) % 1.12/1.30 assert (zenon_L155_ : (~(hskp25)) -> (hskp25) -> False). % 1.12/1.30 do 0 intro. intros zenon_H207 zenon_H208. % 1.12/1.30 exact (zenon_H207 zenon_H208). % 1.12/1.30 (* end of lemma zenon_L155_ *) % 1.12/1.30 assert (zenon_L156_ : ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(hskp25)) -> (~(hskp22)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H209 zenon_H205 zenon_H207 zenon_H61. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H206 | zenon_intro zenon_H20a ]. % 1.12/1.30 exact (zenon_H205 zenon_H206). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H208 | zenon_intro zenon_H62 ]. % 1.12/1.30 exact (zenon_H207 zenon_H208). % 1.12/1.30 exact (zenon_H61 zenon_H62). % 1.12/1.30 (* end of lemma zenon_L156_ *) % 1.12/1.30 assert (zenon_L157_ : (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a2265))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H102 zenon_Ha zenon_H20b zenon_H20c zenon_H20d. % 1.12/1.30 generalize (zenon_H102 (a2265)). zenon_intro zenon_H20e. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H9 | zenon_intro zenon_H20f ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 1.12/1.30 exact (zenon_H20b zenon_H211). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 1.12/1.30 exact (zenon_H213 zenon_H20c). % 1.12/1.30 exact (zenon_H212 zenon_H20d). % 1.12/1.30 (* end of lemma zenon_L157_ *) % 1.12/1.30 assert (zenon_L158_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp0)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H214 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H3. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.30 apply (zenon_L60_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.30 apply (zenon_L157_); trivial. % 1.12/1.30 exact (zenon_H3 zenon_H4). % 1.12/1.30 (* end of lemma zenon_L158_ *) % 1.12/1.30 assert (zenon_L159_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H205 zenon_H61 zenon_H209. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.12/1.30 apply (zenon_L156_); trivial. % 1.12/1.30 apply (zenon_L158_); trivial. % 1.12/1.30 (* end of lemma zenon_L159_ *) % 1.12/1.30 assert (zenon_L160_ : ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(hskp24)) -> (~(hskp14)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H218 zenon_H1 zenon_H47 zenon_H1d0. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H2 | zenon_intro zenon_H219 ]. % 1.12/1.30 exact (zenon_H1 zenon_H2). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H48 | zenon_intro zenon_H1d1 ]. % 1.12/1.30 exact (zenon_H47 zenon_H48). % 1.12/1.30 exact (zenon_H1d0 zenon_H1d1). % 1.12/1.30 (* end of lemma zenon_L160_ *) % 1.12/1.30 assert (zenon_L161_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> False). % 1.12/1.30 do 0 intro. intros zenon_He6 zenon_H5f zenon_Ha zenon_H79 zenon_Hb1 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He8 ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_He2 | zenon_intro zenon_H1c ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.12/1.30 apply (zenon_L55_); trivial. % 1.12/1.30 exact (zenon_H5f zenon_H60). % 1.12/1.30 exact (zenon_H1b zenon_H1c). % 1.12/1.30 (* end of lemma zenon_L161_ *) % 1.12/1.30 assert (zenon_L162_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H21c zenon_H92 zenon_H93 zenon_H94 zenon_H4f zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H205. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18e | zenon_intro zenon_H21d ]. % 1.12/1.30 generalize (zenon_H18e (a2178)). zenon_intro zenon_H21e. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_H9 | zenon_intro zenon_H21f ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H98 | zenon_intro zenon_H220 ]. % 1.12/1.30 generalize (zenon_H4f (a2178)). zenon_intro zenon_H221. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_H9 | zenon_intro zenon_H222 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H9f | zenon_intro zenon_H223 ]. % 1.12/1.30 exact (zenon_H9f zenon_H94). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H9c | zenon_intro zenon_H9d ]. % 1.12/1.30 exact (zenon_H9c zenon_H98). % 1.12/1.30 exact (zenon_H9d zenon_H93). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 1.12/1.30 exact (zenon_H9f zenon_H94). % 1.12/1.30 exact (zenon_H9e zenon_H92). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H33 | zenon_intro zenon_H206 ]. % 1.12/1.30 apply (zenon_L18_); trivial. % 1.12/1.30 exact (zenon_H205 zenon_H206). % 1.12/1.30 (* end of lemma zenon_L162_ *) % 1.12/1.30 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(hskp21)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hab zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_H13e zenon_H13d zenon_H13c zenon_H21c zenon_H36 zenon_H35 zenon_H34 zenon_H205. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.12/1.30 apply (zenon_L46_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.12/1.30 apply (zenon_L84_); trivial. % 1.12/1.30 apply (zenon_L162_); trivial. % 1.12/1.30 (* end of lemma zenon_L163_ *) % 1.12/1.30 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H18b zenon_H34 zenon_H35 zenon_H36 zenon_H205 zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_Hbb zenon_Hba zenon_Hb9 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.30 apply (zenon_L161_); trivial. % 1.12/1.30 apply (zenon_L163_); trivial. % 1.12/1.30 (* end of lemma zenon_L164_ *) % 1.12/1.30 assert (zenon_L165_ : (forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> False). % 1.12/1.30 do 0 intro. intros zenon_H224 zenon_Ha zenon_H225 zenon_H226 zenon_H227. % 1.12/1.30 generalize (zenon_H224 (a2216)). zenon_intro zenon_H228. % 1.12/1.30 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H9 | zenon_intro zenon_H229 ]. % 1.12/1.30 exact (zenon_H9 zenon_Ha). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 1.12/1.30 exact (zenon_H225 zenon_H22b). % 1.12/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 1.12/1.30 exact (zenon_H226 zenon_H22d). % 1.12/1.30 exact (zenon_H22c zenon_H227). % 1.12/1.30 (* end of lemma zenon_L165_ *) % 1.12/1.30 assert (zenon_L166_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hc2 zenon_H22e zenon_H34 zenon_H35 zenon_H36 zenon_H22f zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H7a | zenon_intro zenon_H231 ]. % 1.12/1.30 apply (zenon_L35_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H33 | zenon_intro zenon_H224 ]. % 1.12/1.30 apply (zenon_L18_); trivial. % 1.12/1.30 apply (zenon_L165_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.30 apply (zenon_L165_); trivial. % 1.12/1.30 exact (zenon_H1 zenon_H2). % 1.12/1.30 (* end of lemma zenon_L166_ *) % 1.12/1.30 assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H232 zenon_Hca zenon_H22e zenon_H34 zenon_H35 zenon_H36 zenon_H22f zenon_H1 zenon_H1d0 zenon_H218. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L160_); trivial. % 1.12/1.30 apply (zenon_L166_); trivial. % 1.12/1.30 (* end of lemma zenon_L167_ *) % 1.12/1.30 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.30 do 0 intro. intros zenon_H42 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H218 zenon_H1d0 zenon_H1 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.30 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.30 apply (zenon_L159_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.30 apply (zenon_L160_); trivial. % 1.12/1.30 apply (zenon_L164_); trivial. % 1.12/1.30 apply (zenon_L167_); trivial. % 1.12/1.30 (* end of lemma zenon_L168_ *) % 1.12/1.30 assert (zenon_L169_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> False). % 1.12/1.30 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H21c zenon_H205 zenon_H36 zenon_H35 zenon_H34 zenon_He7 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.30 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.30 apply (zenon_L161_); trivial. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.30 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He8 ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_He2 | zenon_intro zenon_H1c ]. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.12/1.30 apply (zenon_L80_); trivial. % 1.12/1.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.12/1.30 apply (zenon_L55_); trivial. % 1.12/1.30 apply (zenon_L162_); trivial. % 1.12/1.30 exact (zenon_H1b zenon_H1c). % 1.12/1.30 (* end of lemma zenon_L169_ *) % 1.12/1.30 assert (zenon_L170_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hca zenon_Hec zenon_H21c zenon_H205 zenon_H36 zenon_H35 zenon_H34 zenon_He7 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6 zenon_H1 zenon_H1d0 zenon_H218. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.31 apply (zenon_L160_); trivial. % 1.12/1.31 apply (zenon_L169_); trivial. % 1.12/1.31 (* end of lemma zenon_L170_ *) % 1.12/1.31 assert (zenon_L171_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H42 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_H1d0 zenon_H1 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_He7 zenon_H21c zenon_Hec zenon_Hca. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.31 apply (zenon_L170_); trivial. % 1.12/1.31 apply (zenon_L167_); trivial. % 1.12/1.31 (* end of lemma zenon_L171_ *) % 1.12/1.31 assert (zenon_L172_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hea zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_H1d0 zenon_H1 zenon_H21a zenon_He7 zenon_H21c zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.31 apply (zenon_L124_); trivial. % 1.12/1.31 apply (zenon_L171_); trivial. % 1.12/1.31 (* end of lemma zenon_L172_ *) % 1.12/1.31 assert (zenon_L173_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hf4 zenon_He7 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hed zenon_Hca zenon_Hec zenon_H18b zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H1 zenon_H1d0 zenon_H218 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H22e zenon_H235 zenon_H46. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.31 apply (zenon_L12_); trivial. % 1.12/1.31 apply (zenon_L168_); trivial. % 1.12/1.31 apply (zenon_L172_); trivial. % 1.12/1.31 (* end of lemma zenon_L173_ *) % 1.12/1.31 assert (zenon_L174_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a2268))) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a2268))) -> (c1_1 (a2268)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H15f zenon_Ha zenon_H199 zenon_H102 zenon_H19a zenon_H19b. % 1.12/1.31 generalize (zenon_H15f (a2268)). zenon_intro zenon_H236. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H9 | zenon_intro zenon_H237 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19f | zenon_intro zenon_H238 ]. % 1.12/1.31 exact (zenon_H199 zenon_H19f). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H1a0 ]. % 1.12/1.31 generalize (zenon_H102 (a2268)). zenon_intro zenon_H23a. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H9 | zenon_intro zenon_H23b ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H23c ]. % 1.12/1.31 exact (zenon_H19a zenon_H1a1). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H23d ]. % 1.12/1.31 exact (zenon_H1a0 zenon_H19b). % 1.12/1.31 exact (zenon_H23d zenon_H239). % 1.12/1.31 exact (zenon_H1a0 zenon_H19b). % 1.12/1.31 (* end of lemma zenon_L174_ *) % 1.12/1.31 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1a2 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d zenon_H15 zenon_H23e zenon_H3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.31 apply (zenon_L60_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H15f | zenon_intro zenon_H23f ]. % 1.12/1.31 apply (zenon_L174_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H16 | zenon_intro zenon_H1e ]. % 1.12/1.31 exact (zenon_H15 zenon_H16). % 1.12/1.31 exact (zenon_H1d zenon_H1e). % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L175_ *) % 1.12/1.31 assert (zenon_L176_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1a5 zenon_H10a zenon_H3 zenon_H15 zenon_H1d zenon_H23e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H47 zenon_H19 zenon_H197. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.12/1.31 apply (zenon_L118_); trivial. % 1.12/1.31 apply (zenon_L175_); trivial. % 1.12/1.31 (* end of lemma zenon_L176_ *) % 1.12/1.31 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp7)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hab zenon_H181 zenon_H161 zenon_H160 zenon_H15e zenon_H17f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.12/1.31 apply (zenon_L103_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.12/1.31 apply (zenon_L38_); trivial. % 1.12/1.31 exact (zenon_H17f zenon_H180). % 1.12/1.31 (* end of lemma zenon_L177_ *) % 1.12/1.31 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H108 zenon_H1d zenon_H3 zenon_H10a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.31 apply (zenon_L63_); trivial. % 1.12/1.31 apply (zenon_L177_); trivial. % 1.12/1.31 (* end of lemma zenon_L178_ *) % 1.12/1.31 assert (zenon_L179_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hca zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H108 zenon_H197 zenon_H19 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H23e zenon_H1d zenon_H15 zenon_H3 zenon_H10a zenon_H1a5. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.31 apply (zenon_L176_); trivial. % 1.12/1.31 apply (zenon_L178_); trivial. % 1.12/1.31 (* end of lemma zenon_L179_ *) % 1.12/1.31 assert (zenon_L180_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c0_1 (a2193)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H59 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H1e2. % 1.12/1.31 generalize (zenon_H59 (a2193)). zenon_intro zenon_H240. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H9 | zenon_intro zenon_H241 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1dc | zenon_intro zenon_H242 ]. % 1.12/1.31 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1de ]. % 1.12/1.31 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.31 exact (zenon_H1de zenon_H1e2). % 1.12/1.31 (* end of lemma zenon_L180_ *) % 1.12/1.31 assert (zenon_L181_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H29 zenon_Ha zenon_H59 zenon_H1d6 zenon_H1d7. % 1.12/1.31 generalize (zenon_H29 (a2193)). zenon_intro zenon_H243. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H9 | zenon_intro zenon_H244 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H245 ]. % 1.12/1.31 apply (zenon_L180_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e3 ]. % 1.12/1.31 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.31 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.31 (* end of lemma zenon_L181_ *) % 1.12/1.31 assert (zenon_L182_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H76 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H29 zenon_H63 zenon_H65. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.31 apply (zenon_L181_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.31 exact (zenon_H63 zenon_H64). % 1.12/1.31 exact (zenon_H65 zenon_H66). % 1.12/1.31 (* end of lemma zenon_L182_ *) % 1.12/1.31 assert (zenon_L183_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> (~(hskp30)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H3e zenon_H65 zenon_H63 zenon_H1d6 zenon_H1d7 zenon_H76 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H3. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.31 apply (zenon_L182_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_L18_); trivial. % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L183_ *) % 1.12/1.31 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H70 zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_H13e zenon_H13d zenon_H13c. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L46_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.12/1.31 apply (zenon_L84_); trivial. % 1.12/1.31 apply (zenon_L32_); trivial. % 1.12/1.31 (* end of lemma zenon_L184_ *) % 1.12/1.31 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L183_); trivial. % 1.12/1.31 apply (zenon_L184_); trivial. % 1.12/1.31 (* end of lemma zenon_L185_ *) % 1.12/1.31 assert (zenon_L186_ : (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H59 zenon_Ha zenon_H1c6 zenon_H225 zenon_H226 zenon_H227. % 1.12/1.31 generalize (zenon_H59 (a2216)). zenon_intro zenon_H246. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_H9 | zenon_intro zenon_H247 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 1.12/1.31 generalize (zenon_H1c6 (a2216)). zenon_intro zenon_H24a. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H9 | zenon_intro zenon_H24b ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H22b | zenon_intro zenon_H24c ]. % 1.12/1.31 exact (zenon_H225 zenon_H22b). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22d | zenon_intro zenon_H24d ]. % 1.12/1.31 exact (zenon_H226 zenon_H22d). % 1.12/1.31 exact (zenon_H24d zenon_H249). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22b | zenon_intro zenon_H22c ]. % 1.12/1.31 exact (zenon_H225 zenon_H22b). % 1.12/1.31 exact (zenon_H22c zenon_H227). % 1.12/1.31 (* end of lemma zenon_L186_ *) % 1.12/1.31 assert (zenon_L187_ : (~(hskp20)) -> (hskp20) -> False). % 1.12/1.31 do 0 intro. intros zenon_H24e zenon_H24f. % 1.12/1.31 exact (zenon_H24e zenon_H24f). % 1.12/1.31 (* end of lemma zenon_L187_ *) % 1.12/1.31 assert (zenon_L188_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (~(hskp20)) -> (~(hskp16)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H250 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H59 zenon_H24e zenon_H1d. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H251 ]. % 1.12/1.31 apply (zenon_L186_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H24f | zenon_intro zenon_H1e ]. % 1.12/1.31 exact (zenon_H24e zenon_H24f). % 1.12/1.31 exact (zenon_H1d zenon_H1e). % 1.12/1.31 (* end of lemma zenon_L188_ *) % 1.12/1.31 assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp20)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H232 zenon_H122 zenon_H24e zenon_H1d zenon_H250. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.31 apply (zenon_L188_); trivial. % 1.12/1.31 exact (zenon_H1d zenon_H1e). % 1.12/1.31 (* end of lemma zenon_L189_ *) % 1.12/1.31 assert (zenon_L190_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a2213))) -> (c0_1 (a2213)) -> (c1_1 (a2213)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_H252 zenon_H253 zenon_H254. % 1.12/1.31 generalize (zenon_H1a6 (a2213)). zenon_intro zenon_H255. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 1.12/1.31 exact (zenon_H252 zenon_H258). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.12/1.31 exact (zenon_H25a zenon_H253). % 1.12/1.31 exact (zenon_H259 zenon_H254). % 1.12/1.31 (* end of lemma zenon_L190_ *) % 1.12/1.31 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp18)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H25b zenon_H1ae zenon_H13e zenon_H13d zenon_H13c zenon_Hb6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H253. zenon_intro zenon_H25d. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1af ]. % 1.12/1.31 apply (zenon_L190_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H13b | zenon_intro zenon_Hb7 ]. % 1.12/1.31 apply (zenon_L84_); trivial. % 1.12/1.31 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.31 (* end of lemma zenon_L191_ *) % 1.12/1.31 assert (zenon_L192_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H25e zenon_H1ae zenon_Hb6 zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H34 zenon_H35 zenon_H36 zenon_H3e zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H250 zenon_H1d zenon_H122 zenon_H235. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.31 apply (zenon_L159_); trivial. % 1.12/1.31 apply (zenon_L185_); trivial. % 1.12/1.31 apply (zenon_L189_); trivial. % 1.12/1.31 apply (zenon_L191_); trivial. % 1.12/1.31 (* end of lemma zenon_L192_ *) % 1.12/1.31 assert (zenon_L193_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hec zenon_H10e zenon_H10c zenon_H76 zenon_H65 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.31 apply (zenon_L51_); trivial. % 1.12/1.31 apply (zenon_L65_); trivial. % 1.12/1.31 (* end of lemma zenon_L193_ *) % 1.12/1.31 assert (zenon_L194_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L50_); trivial. % 1.12/1.31 apply (zenon_L184_); trivial. % 1.12/1.31 (* end of lemma zenon_L194_ *) % 1.12/1.31 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hf0 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H10c zenon_H10e zenon_Hec. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.31 apply (zenon_L193_); trivial. % 1.12/1.31 apply (zenon_L194_); trivial. % 1.12/1.31 (* end of lemma zenon_L195_ *) % 1.12/1.31 assert (zenon_L196_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H42 zenon_Heb zenon_H71 zenon_H10c zenon_H10e zenon_Hec zenon_H235 zenon_H122 zenon_H1d zenon_H250 zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H3e zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H1ae zenon_H25e. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.31 apply (zenon_L192_); trivial. % 1.12/1.31 apply (zenon_L195_); trivial. % 1.12/1.31 (* end of lemma zenon_L196_ *) % 1.12/1.31 assert (zenon_L197_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L183_); trivial. % 1.12/1.31 apply (zenon_L33_); trivial. % 1.12/1.31 (* end of lemma zenon_L197_ *) % 1.12/1.31 assert (zenon_L198_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H78 zenon_H1d6 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.31 apply (zenon_L36_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.31 apply (zenon_L144_); trivial. % 1.12/1.31 apply (zenon_L38_); trivial. % 1.12/1.31 (* end of lemma zenon_L198_ *) % 1.12/1.31 assert (zenon_L199_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H29 zenon_Ha zenon_H1de zenon_H1d6 zenon_H1d7. % 1.12/1.31 generalize (zenon_H29 (a2193)). zenon_intro zenon_H243. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H9 | zenon_intro zenon_H244 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H245 ]. % 1.12/1.31 exact (zenon_H1de zenon_H1e2). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e3 ]. % 1.12/1.31 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.31 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.31 (* end of lemma zenon_L199_ *) % 1.12/1.31 assert (zenon_L200_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_H1d7 zenon_H29 zenon_H1d6 zenon_H1d8. % 1.12/1.31 generalize (zenon_Ha7 (a2193)). zenon_intro zenon_H25f. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_H9 | zenon_intro zenon_H260 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1db ]. % 1.12/1.31 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 1.12/1.31 apply (zenon_L199_); trivial. % 1.12/1.31 exact (zenon_H1dd zenon_H1d8). % 1.12/1.31 (* end of lemma zenon_L200_ *) % 1.12/1.31 assert (zenon_L201_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H29 zenon_H1d7 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.12/1.31 apply (zenon_L198_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.12/1.31 apply (zenon_L200_); trivial. % 1.12/1.31 apply (zenon_L39_); trivial. % 1.12/1.31 (* end of lemma zenon_L201_ *) % 1.12/1.31 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hab zenon_H3e zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H36 zenon_H35 zenon_H34 zenon_H3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.31 apply (zenon_L201_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_L18_); trivial. % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L202_ *) % 1.12/1.31 assert (zenon_L203_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hec zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H3e zenon_H3 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H61 zenon_H71 zenon_H75. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.31 apply (zenon_L197_); trivial. % 1.12/1.31 apply (zenon_L202_); trivial. % 1.12/1.31 (* end of lemma zenon_L203_ *) % 1.12/1.31 assert (zenon_L204_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H42 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_Hec. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.31 apply (zenon_L203_); trivial. % 1.12/1.31 apply (zenon_L185_); trivial. % 1.12/1.31 (* end of lemma zenon_L204_ *) % 1.12/1.31 assert (zenon_L205_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.31 apply (zenon_L124_); trivial. % 1.12/1.31 apply (zenon_L204_); trivial. % 1.12/1.31 (* end of lemma zenon_L205_ *) % 1.12/1.31 assert (zenon_L206_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp1)) -> (~(hskp30)) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H65 zenon_H63 zenon_Ha zenon_H5a zenon_H50 zenon_H52 zenon_H76 zenon_H3. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.31 apply (zenon_L60_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.31 apply (zenon_L73_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.31 exact (zenon_H63 zenon_H64). % 1.12/1.31 exact (zenon_H65 zenon_H66). % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L206_ *) % 1.12/1.31 assert (zenon_L207_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_Ha zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H3 zenon_H10a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L206_); trivial. % 1.12/1.31 apply (zenon_L33_); trivial. % 1.12/1.31 (* end of lemma zenon_L207_ *) % 1.12/1.31 assert (zenon_L208_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H3 zenon_H10a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L206_); trivial. % 1.12/1.31 apply (zenon_L184_); trivial. % 1.12/1.31 (* end of lemma zenon_L208_ *) % 1.12/1.31 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hf5 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H3 zenon_H10a zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.31 apply (zenon_L207_); trivial. % 1.12/1.31 apply (zenon_L177_); trivial. % 1.12/1.31 apply (zenon_L208_); trivial. % 1.12/1.31 (* end of lemma zenon_L209_ *) % 1.12/1.31 assert (zenon_L210_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H90 zenon_Ha zenon_H102 zenon_H5a zenon_H52 zenon_H50. % 1.12/1.31 generalize (zenon_H90 (a2194)). zenon_intro zenon_H261. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H51 | zenon_intro zenon_Haa ]. % 1.12/1.31 generalize (zenon_H102 (a2194)). zenon_intro zenon_H120. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_H9 | zenon_intro zenon_H121 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H5e | zenon_intro zenon_H55 ]. % 1.12/1.31 exact (zenon_H5a zenon_H5e). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 1.12/1.31 exact (zenon_H58 zenon_H51). % 1.12/1.31 exact (zenon_H57 zenon_H52). % 1.12/1.31 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ]. % 1.12/1.31 exact (zenon_H56 zenon_H50). % 1.12/1.31 exact (zenon_H57 zenon_H52). % 1.12/1.31 (* end of lemma zenon_L210_ *) % 1.12/1.31 assert (zenon_L211_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a2208)) -> (c3_1 (a2208)) -> (c1_1 (a2208)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_Ha0 zenon_H67 zenon_H69 zenon_H68. % 1.12/1.31 generalize (zenon_H1a6 (a2208)). zenon_intro zenon_H263. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 1.12/1.31 generalize (zenon_Ha0 (a2208)). zenon_intro zenon_H267. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H9 | zenon_intro zenon_H268 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H6d | zenon_intro zenon_H269 ]. % 1.12/1.31 exact (zenon_H6d zenon_H67). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26a | zenon_intro zenon_H6e ]. % 1.12/1.31 exact (zenon_H26a zenon_H266). % 1.12/1.31 exact (zenon_H6e zenon_H69). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 1.12/1.31 exact (zenon_H6d zenon_H67). % 1.12/1.31 exact (zenon_H6f zenon_H68). % 1.12/1.31 (* end of lemma zenon_L211_ *) % 1.12/1.31 assert (zenon_L212_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> (c0_1 (a2208)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1c1 zenon_H68 zenon_H69 zenon_H67 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.12/1.31 apply (zenon_L211_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.12/1.31 apply (zenon_L134_); trivial. % 1.12/1.31 exact (zenon_H1be zenon_H1bf). % 1.12/1.31 (* end of lemma zenon_L212_ *) % 1.12/1.31 assert (zenon_L213_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> (c0_1 (a2208)) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H50 zenon_H52 zenon_H5a zenon_H102 zenon_H1c1 zenon_H68 zenon_H69 zenon_H67 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.31 apply (zenon_L36_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.31 apply (zenon_L210_); trivial. % 1.12/1.31 apply (zenon_L212_); trivial. % 1.12/1.31 (* end of lemma zenon_L213_ *) % 1.12/1.31 assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp12)) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H70 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1c1 zenon_H5a zenon_H52 zenon_H50 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.31 apply (zenon_L60_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_L213_); trivial. % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L214_ *) % 1.12/1.31 assert (zenon_L215_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_H87 zenon_H88 zenon_H89 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H3 zenon_H10a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L206_); trivial. % 1.12/1.31 apply (zenon_L214_); trivial. % 1.12/1.31 (* end of lemma zenon_L215_ *) % 1.12/1.31 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H1c5 zenon_H75 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H76 zenon_H65 zenon_H1b2 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.31 apply (zenon_L8_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.31 apply (zenon_L75_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.12/1.31 apply (zenon_L133_); trivial. % 1.12/1.31 apply (zenon_L215_); trivial. % 1.12/1.31 (* end of lemma zenon_L216_ *) % 1.12/1.31 assert (zenon_L217_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp16)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H250 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H24e zenon_H1d. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H251 ]. % 1.12/1.31 apply (zenon_L140_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H24f | zenon_intro zenon_H1e ]. % 1.12/1.31 exact (zenon_H24e zenon_H24f). % 1.12/1.31 exact (zenon_H1d zenon_H1e). % 1.12/1.31 (* end of lemma zenon_L217_ *) % 1.12/1.31 assert (zenon_L218_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Heb zenon_H122 zenon_H250 zenon_H1d zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H1ae zenon_H25e. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.12/1.31 apply (zenon_L217_); trivial. % 1.12/1.31 apply (zenon_L191_); trivial. % 1.12/1.31 apply (zenon_L130_); trivial. % 1.12/1.31 (* end of lemma zenon_L218_ *) % 1.12/1.31 assert (zenon_L219_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H201 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3e zenon_Hac zenon_Ha3 zenon_H25e zenon_H1ae zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H250 zenon_H122 zenon_Heb zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H218 zenon_H1 zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H197 zenon_H1a5 zenon_He7 zenon_Hf4. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.31 apply (zenon_L173_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.31 apply (zenon_L218_); trivial. % 1.12/1.31 apply (zenon_L205_); trivial. % 1.12/1.31 (* end of lemma zenon_L219_ *) % 1.12/1.31 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H10a zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H3 zenon_H17. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.31 apply (zenon_L8_); trivial. % 1.12/1.31 apply (zenon_L209_); trivial. % 1.12/1.31 (* end of lemma zenon_L220_ *) % 1.12/1.31 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H200 zenon_H127 zenon_Hf3 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H17 zenon_Hf4 zenon_He7 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hed zenon_Hca zenon_Hec zenon_H18b zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H218 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_Heb zenon_H122 zenon_H250 zenon_H1ae zenon_H25e zenon_Ha3 zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H201. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.31 apply (zenon_L219_); trivial. % 1.12/1.31 apply (zenon_L220_); trivial. % 1.12/1.31 (* end of lemma zenon_L221_ *) % 1.12/1.31 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.31 apply (zenon_L75_); trivial. % 1.12/1.31 apply (zenon_L205_); trivial. % 1.12/1.31 (* end of lemma zenon_L222_ *) % 1.12/1.31 assert (zenon_L223_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H201 zenon_Hf3 zenon_H122 zenon_H17 zenon_H112 zenon_H113 zenon_H11e zenon_Ha3 zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H218 zenon_H1 zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H197 zenon_H1a5 zenon_He7 zenon_Hf4. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.31 apply (zenon_L173_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.31 apply (zenon_L72_); trivial. % 1.12/1.31 apply (zenon_L205_); trivial. % 1.12/1.31 apply (zenon_L222_); trivial. % 1.12/1.31 (* end of lemma zenon_L223_ *) % 1.12/1.31 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H126 zenon_H127 zenon_H193 zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_Hf4 zenon_He7 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hed zenon_Hca zenon_Hec zenon_H18b zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H218 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3e zenon_Hac zenon_Ha3 zenon_H11e zenon_H17 zenon_H122 zenon_Hf3 zenon_H201. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.31 apply (zenon_L223_); trivial. % 1.12/1.31 apply (zenon_L113_); trivial. % 1.12/1.31 (* end of lemma zenon_L224_ *) % 1.12/1.31 assert (zenon_L225_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H7a zenon_Ha zenon_H26b zenon_H26c zenon_H26d. % 1.12/1.31 generalize (zenon_H7a (a2182)). zenon_intro zenon_H26e. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 1.12/1.31 exact (zenon_H26b zenon_H271). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ]. % 1.12/1.31 exact (zenon_H273 zenon_H26c). % 1.12/1.31 exact (zenon_H272 zenon_H26d). % 1.12/1.31 (* end of lemma zenon_L225_ *) % 1.12/1.31 assert (zenon_L226_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H43 zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H15e zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H21 zenon_H23 zenon_H27. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.31 apply (zenon_L16_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.12/1.31 apply (zenon_L17_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.12/1.31 apply (zenon_L102_); trivial. % 1.12/1.31 apply (zenon_L225_); trivial. % 1.12/1.31 (* end of lemma zenon_L226_ *) % 1.12/1.31 assert (zenon_L227_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (c1_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_Hed zenon_H193 zenon_H18b zenon_H49 zenon_H18a zenon_H160 zenon_H185 zenon_H17 zenon_H3 zenon_H7 zenon_H27 zenon_H23 zenon_H21 zenon_H16d zenon_H5 zenon_H161 zenon_H15e zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H43. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.31 apply (zenon_L226_); trivial. % 1.12/1.31 apply (zenon_L114_); trivial. % 1.12/1.31 (* end of lemma zenon_L227_ *) % 1.12/1.31 assert (zenon_L228_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c3_1 (a2262)) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a2262)) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha5 zenon_H26d zenon_H26c zenon_H26b zenon_H7b zenon_H102 zenon_Hb1 zenon_Ha zenon_H49. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha6 ]. % 1.12/1.31 apply (zenon_L225_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H91 | zenon_intro zenon_H4a ]. % 1.12/1.31 apply (zenon_L61_); trivial. % 1.12/1.31 exact (zenon_H49 zenon_H4a). % 1.12/1.31 (* end of lemma zenon_L228_ *) % 1.12/1.31 assert (zenon_L229_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp2)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp0)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc2 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H49 zenon_H26b zenon_H26c zenon_H26d zenon_Ha5 zenon_H3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.31 apply (zenon_L60_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.31 apply (zenon_L228_); trivial. % 1.12/1.31 exact (zenon_H3 zenon_H4). % 1.12/1.31 (* end of lemma zenon_L229_ *) % 1.12/1.31 assert (zenon_L230_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hca zenon_H10a zenon_H3 zenon_H26b zenon_H26c zenon_H26d zenon_H49 zenon_Ha5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1 zenon_H1d0 zenon_H218. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.31 apply (zenon_L160_); trivial. % 1.12/1.31 apply (zenon_L229_); trivial. % 1.12/1.31 (* end of lemma zenon_L230_ *) % 1.12/1.31 assert (zenon_L231_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hca zenon_H26b zenon_H26c zenon_H26d zenon_H49 zenon_Ha5 zenon_H197 zenon_H19 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H23e zenon_H1d zenon_H15 zenon_H3 zenon_H10a zenon_H1a5. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.31 apply (zenon_L176_); trivial. % 1.12/1.31 apply (zenon_L229_); trivial. % 1.12/1.31 (* end of lemma zenon_L231_ *) % 1.12/1.31 assert (zenon_L232_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_H13e zenon_H13d zenon_H13c zenon_H59 zenon_Ha zenon_H50 zenon_H52 zenon_H5a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.12/1.31 apply (zenon_L46_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.12/1.31 apply (zenon_L84_); trivial. % 1.12/1.31 apply (zenon_L27_); trivial. % 1.12/1.31 (* end of lemma zenon_L232_ *) % 1.12/1.31 assert (zenon_L233_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp29)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_Hb9 zenon_Hba zenon_Hbb zenon_H18b zenon_H145. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H7a | zenon_intro zenon_H275 ]. % 1.12/1.31 apply (zenon_L225_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H59 | zenon_intro zenon_H146 ]. % 1.12/1.31 apply (zenon_L232_); trivial. % 1.12/1.31 exact (zenon_H145 zenon_H146). % 1.12/1.31 (* end of lemma zenon_L233_ *) % 1.12/1.31 assert (zenon_L234_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp4)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H152 zenon_H276 zenon_H12e zenon_H12d zenon_H12c zenon_H23. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H277 ]. % 1.12/1.31 apply (zenon_L80_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H91 | zenon_intro zenon_H24 ]. % 1.12/1.31 apply (zenon_L87_); trivial. % 1.12/1.31 exact (zenon_H23 zenon_H24). % 1.12/1.31 (* end of lemma zenon_L234_ *) % 1.12/1.31 assert (zenon_L235_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_H26b zenon_H26c zenon_H26d zenon_H18b zenon_H5a zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H274. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.31 apply (zenon_L233_); trivial. % 1.12/1.31 apply (zenon_L234_); trivial. % 1.12/1.31 (* end of lemma zenon_L235_ *) % 1.12/1.31 assert (zenon_L236_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H33 zenon_Ha zenon_Hb0 zenon_H26b zenon_H26c zenon_H26d. % 1.12/1.31 generalize (zenon_H33 (a2182)). zenon_intro zenon_H278. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H9 | zenon_intro zenon_H279 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27a | zenon_intro zenon_H270 ]. % 1.12/1.31 generalize (zenon_Hb0 (a2182)). zenon_intro zenon_H27b. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H27b); [ zenon_intro zenon_H9 | zenon_intro zenon_H27c ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H271 | zenon_intro zenon_H27d ]. % 1.12/1.31 exact (zenon_H26b zenon_H271). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27e | zenon_intro zenon_H273 ]. % 1.12/1.31 exact (zenon_H27e zenon_H27a). % 1.12/1.31 exact (zenon_H273 zenon_H26c). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ]. % 1.12/1.31 exact (zenon_H273 zenon_H26c). % 1.12/1.31 exact (zenon_H272 zenon_H26d). % 1.12/1.31 (* end of lemma zenon_L236_ *) % 1.12/1.31 assert (zenon_L237_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_Hb0 zenon_Ha zenon_H225 zenon_H226 zenon_H227. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H7a | zenon_intro zenon_H231 ]. % 1.12/1.31 apply (zenon_L225_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H33 | zenon_intro zenon_H224 ]. % 1.12/1.31 apply (zenon_L236_); trivial. % 1.12/1.31 apply (zenon_L165_); trivial. % 1.12/1.31 (* end of lemma zenon_L237_ *) % 1.12/1.31 assert (zenon_L238_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_H4f zenon_Ha zenon_H145. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H7a | zenon_intro zenon_H275 ]. % 1.12/1.31 apply (zenon_L225_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H59 | zenon_intro zenon_H146 ]. % 1.12/1.31 apply (zenon_L27_); trivial. % 1.12/1.31 exact (zenon_H145 zenon_H146). % 1.12/1.31 (* end of lemma zenon_L238_ *) % 1.12/1.31 assert (zenon_L239_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.12/1.31 do 0 intro. intros zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H227 zenon_H226 zenon_H225 zenon_H22f zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_Ha zenon_H145. % 1.12/1.31 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.12/1.31 apply (zenon_L80_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.12/1.31 apply (zenon_L237_); trivial. % 1.12/1.31 apply (zenon_L238_); trivial. % 1.12/1.31 (* end of lemma zenon_L239_ *) % 1.12/1.31 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H232 zenon_H155 zenon_H276 zenon_H23 zenon_H12c zenon_H12d zenon_H12e zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H274 zenon_H5a zenon_H52 zenon_H50 zenon_He7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.31 apply (zenon_L239_); trivial. % 1.12/1.31 apply (zenon_L234_); trivial. % 1.12/1.31 (* end of lemma zenon_L240_ *) % 1.12/1.31 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_H235 zenon_H22f zenon_He7 zenon_H217 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H274 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H26d zenon_H26c zenon_H26b zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H3 zenon_H17. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.31 apply (zenon_L8_); trivial. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.31 apply (zenon_L159_); trivial. % 1.12/1.31 apply (zenon_L235_); trivial. % 1.12/1.31 apply (zenon_L240_); trivial. % 1.12/1.31 (* end of lemma zenon_L241_ *) % 1.12/1.31 assert (zenon_L242_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H90 zenon_Ha zenon_H27f zenon_H280 zenon_H281. % 1.12/1.31 generalize (zenon_H90 (a2180)). zenon_intro zenon_H282. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H9 | zenon_intro zenon_H283 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 1.12/1.31 exact (zenon_H27f zenon_H285). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 1.12/1.31 exact (zenon_H287 zenon_H280). % 1.12/1.31 exact (zenon_H286 zenon_H281). % 1.12/1.31 (* end of lemma zenon_L242_ *) % 1.12/1.31 assert (zenon_L243_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a2180)) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (~(c1_1 (a2180))) -> (c3_1 (a2180)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_H280 zenon_H59 zenon_H27f zenon_H281. % 1.12/1.31 generalize (zenon_Ha0 (a2180)). zenon_intro zenon_H288. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_H9 | zenon_intro zenon_H289 ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H287 | zenon_intro zenon_H28a ]. % 1.12/1.31 exact (zenon_H287 zenon_H280). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H28b | zenon_intro zenon_H286 ]. % 1.12/1.31 generalize (zenon_H59 (a2180)). zenon_intro zenon_H28c. % 1.12/1.31 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_H9 | zenon_intro zenon_H28d ]. % 1.12/1.31 exact (zenon_H9 zenon_Ha). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H285 | zenon_intro zenon_H28e ]. % 1.12/1.31 exact (zenon_H27f zenon_H285). % 1.12/1.31 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H28f | zenon_intro zenon_H287 ]. % 1.12/1.31 exact (zenon_H28b zenon_H28f). % 1.12/1.31 exact (zenon_H287 zenon_H280). % 1.12/1.31 exact (zenon_H286 zenon_H281). % 1.12/1.31 (* end of lemma zenon_L243_ *) % 1.12/1.31 assert (zenon_L244_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2180)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H76 zenon_H281 zenon_H27f zenon_H280 zenon_Ha zenon_Ha0 zenon_H63 zenon_H65. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.31 apply (zenon_L243_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.31 exact (zenon_H63 zenon_H64). % 1.12/1.31 exact (zenon_H65 zenon_H66). % 1.12/1.31 (* end of lemma zenon_L244_ *) % 1.12/1.31 assert (zenon_L245_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2180)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.31 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H76 zenon_H281 zenon_H27f zenon_H280 zenon_Ha zenon_H63 zenon_H65. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.31 apply (zenon_L36_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.31 apply (zenon_L242_); trivial. % 1.12/1.31 apply (zenon_L244_); trivial. % 1.12/1.31 (* end of lemma zenon_L245_ *) % 1.12/1.31 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (~(hskp12)) -> False). % 1.12/1.31 do 0 intro. intros zenon_H70 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.31 apply (zenon_L36_); trivial. % 1.12/1.31 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.31 apply (zenon_L242_); trivial. % 1.12/1.31 apply (zenon_L212_); trivial. % 1.12/1.31 (* end of lemma zenon_L246_ *) % 1.12/1.31 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.12/1.31 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_H1be zenon_H1c1 zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_H76 zenon_H65 zenon_Ha3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.12/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.31 apply (zenon_L245_); trivial. % 1.12/1.31 apply (zenon_L246_); trivial. % 1.12/1.31 (* end of lemma zenon_L247_ *) % 1.12/1.31 assert (zenon_L248_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.12/1.31 do 0 intro. intros zenon_Hea zenon_H1c5 zenon_H75 zenon_H1be zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H76 zenon_H65 zenon_Ha3 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.12/1.31 apply (zenon_L133_); trivial. % 1.12/1.31 apply (zenon_L247_); trivial. % 1.12/1.31 (* end of lemma zenon_L248_ *) % 1.12/1.31 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H123 zenon_Hf4 zenon_H1c5 zenon_H75 zenon_H1be zenon_H1c1 zenon_H27f zenon_H280 zenon_H281 zenon_H76 zenon_H65 zenon_Ha3 zenon_H1b2 zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L21_); trivial. % 1.12/1.32 apply (zenon_L248_); trivial. % 1.12/1.32 (* end of lemma zenon_L249_ *) % 1.12/1.32 assert (zenon_L250_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H3d zenon_H290 zenon_H281 zenon_H280 zenon_H27f zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.12/1.32 apply (zenon_L17_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.12/1.32 apply (zenon_L242_); trivial. % 1.12/1.32 apply (zenon_L140_); trivial. % 1.12/1.32 (* end of lemma zenon_L250_ *) % 1.12/1.32 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H200 zenon_H43 zenon_H290 zenon_H281 zenon_H280 zenon_H27f zenon_H21 zenon_H23 zenon_H27. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.32 apply (zenon_L16_); trivial. % 1.12/1.32 apply (zenon_L250_); trivial. % 1.12/1.32 (* end of lemma zenon_L251_ *) % 1.12/1.32 assert (zenon_L252_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp13)\/((hskp0)\/(hskp10))) -> (~(hskp10)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H204 zenon_H290 zenon_H7 zenon_H5 zenon_H3 zenon_H46 zenon_H43 zenon_H3e zenon_H21 zenon_H23 zenon_H27 zenon_H1b zenon_H1f zenon_H1b2 zenon_Ha3 zenon_H65 zenon_H76 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H75 zenon_H1c5 zenon_Hf4 zenon_H127. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_L4_); trivial. % 1.12/1.32 apply (zenon_L249_); trivial. % 1.12/1.32 apply (zenon_L251_); trivial. % 1.12/1.32 (* end of lemma zenon_L252_ *) % 1.12/1.32 assert (zenon_L253_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf4 zenon_H1a5 zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1f zenon_H1b zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H1 zenon_H1d0 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L12_); trivial. % 1.12/1.32 apply (zenon_L171_); trivial. % 1.12/1.32 apply (zenon_L172_); trivial. % 1.12/1.32 (* end of lemma zenon_L253_ *) % 1.12/1.32 assert (zenon_L254_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp16)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_H1 zenon_H1d. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H90 | zenon_intro zenon_H11f ]. % 1.12/1.32 apply (zenon_L242_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H2 | zenon_intro zenon_H1e ]. % 1.12/1.32 exact (zenon_H1 zenon_H2). % 1.12/1.32 exact (zenon_H1d zenon_H1e). % 1.12/1.32 (* end of lemma zenon_L254_ *) % 1.12/1.32 assert (zenon_L255_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H90 zenon_Ha zenon_H1d6 zenon_H29 zenon_H1d7 zenon_H1d8. % 1.12/1.32 generalize (zenon_H90 (a2193)). zenon_intro zenon_H1d9. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1da ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 1.12/1.32 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 1.12/1.32 apply (zenon_L199_); trivial. % 1.12/1.32 exact (zenon_H1dd zenon_H1d8). % 1.12/1.32 (* end of lemma zenon_L255_ *) % 1.12/1.32 assert (zenon_L256_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H3e zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H90 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H3. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.32 apply (zenon_L255_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.32 apply (zenon_L18_); trivial. % 1.12/1.32 exact (zenon_H3 zenon_H4). % 1.12/1.32 (* end of lemma zenon_L256_ *) % 1.12/1.32 assert (zenon_L257_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (c3_1 (a2180)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H18a zenon_H281 zenon_H27f zenon_H280 zenon_Ha0 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H49. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H59 | zenon_intro zenon_H18c ]. % 1.12/1.32 apply (zenon_L243_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H4a ]. % 1.12/1.32 apply (zenon_L46_); trivial. % 1.12/1.32 exact (zenon_H49 zenon_H4a). % 1.12/1.32 (* end of lemma zenon_L257_ *) % 1.12/1.32 assert (zenon_L258_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp0)) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (c3_1 (a2180)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (~(hskp2)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc9 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H3 zenon_H34 zenon_H35 zenon_H36 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H3e zenon_H18a zenon_H281 zenon_H27f zenon_H280 zenon_H49. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.32 apply (zenon_L36_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.32 apply (zenon_L256_); trivial. % 1.12/1.32 apply (zenon_L257_); trivial. % 1.12/1.32 (* end of lemma zenon_L258_ *) % 1.12/1.32 assert (zenon_L259_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (c3_1 (a2180)) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hed zenon_H280 zenon_H27f zenon_H281 zenon_H49 zenon_H18a zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L124_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.32 apply (zenon_L203_); trivial. % 1.12/1.32 apply (zenon_L258_); trivial. % 1.12/1.32 (* end of lemma zenon_L259_ *) % 1.12/1.32 assert (zenon_L260_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_Hed zenon_H49 zenon_H18a zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3 zenon_H3e zenon_Hac zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L254_); trivial. % 1.12/1.32 apply (zenon_L259_); trivial. % 1.12/1.32 (* end of lemma zenon_L260_ *) % 1.12/1.32 assert (zenon_L261_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_H1c7 zenon_H15f zenon_H1c8 zenon_H1c9. % 1.12/1.32 generalize (zenon_H1a6 (a2189)). zenon_intro zenon_H1ec. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ed ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ee ]. % 1.12/1.32 exact (zenon_H1c7 zenon_H1cd). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ce ]. % 1.12/1.32 generalize (zenon_H15f (a2189)). zenon_intro zenon_H292. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_H9 | zenon_intro zenon_H293 ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1cc ]. % 1.12/1.32 exact (zenon_H1ef zenon_H1f3). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 1.12/1.32 exact (zenon_H1c8 zenon_H1cf). % 1.12/1.32 exact (zenon_H1ce zenon_H1c9). % 1.12/1.32 exact (zenon_H1ce zenon_H1c9). % 1.12/1.32 (* end of lemma zenon_L261_ *) % 1.12/1.32 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H10e zenon_H65 zenon_H12c zenon_H12d zenon_H12e zenon_H1f7 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H10c zenon_H1f8 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H21a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.12/1.32 apply (zenon_L80_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.12/1.32 apply (zenon_L60_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.32 apply (zenon_L44_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.32 apply (zenon_L261_); trivial. % 1.12/1.32 exact (zenon_H10c zenon_H10d). % 1.12/1.32 apply (zenon_L140_); trivial. % 1.12/1.32 exact (zenon_H5f zenon_H60). % 1.12/1.32 apply (zenon_L65_); trivial. % 1.12/1.32 (* end of lemma zenon_L262_ *) % 1.12/1.32 assert (zenon_L263_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H12c zenon_H12d zenon_H12e zenon_H1f7 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H10c zenon_H1f8 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H21a zenon_H1 zenon_H1d0 zenon_H218. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.32 apply (zenon_L160_); trivial. % 1.12/1.32 apply (zenon_L262_); trivial. % 1.12/1.32 (* end of lemma zenon_L263_ *) % 1.12/1.32 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hab zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.32 apply (zenon_L36_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.32 apply (zenon_L242_); trivial. % 1.12/1.32 apply (zenon_L38_); trivial. % 1.12/1.32 (* end of lemma zenon_L264_ *) % 1.12/1.32 assert (zenon_L265_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hec zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H76 zenon_H65 zenon_Ha zenon_H50 zenon_H52 zenon_H5a zenon_H61 zenon_H71 zenon_H75. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.32 apply (zenon_L34_); trivial. % 1.12/1.32 apply (zenon_L264_); trivial. % 1.12/1.32 (* end of lemma zenon_L265_ *) % 1.12/1.32 assert (zenon_L266_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_Hf8 zenon_H34 zenon_H36 zenon_H35. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.32 apply (zenon_L36_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.32 apply (zenon_L149_); trivial. % 1.12/1.32 apply (zenon_L146_); trivial. % 1.12/1.32 (* end of lemma zenon_L266_ *) % 1.12/1.32 assert (zenon_L267_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H42 zenon_Hed zenon_H10a zenon_H3 zenon_H18a zenon_H49 zenon_H75 zenon_H71 zenon_H5a zenon_H52 zenon_H50 zenon_H65 zenon_H76 zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.32 apply (zenon_L265_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.32 apply (zenon_L266_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.12/1.32 apply (zenon_L36_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.12/1.32 apply (zenon_L210_); trivial. % 1.12/1.32 apply (zenon_L257_); trivial. % 1.12/1.32 exact (zenon_H3 zenon_H4). % 1.12/1.32 (* end of lemma zenon_L267_ *) % 1.12/1.32 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_Hed zenon_H18a zenon_H49 zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L75_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L124_); trivial. % 1.12/1.32 apply (zenon_L267_); trivial. % 1.12/1.32 (* end of lemma zenon_L268_ *) % 1.12/1.32 assert (zenon_L269_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H46 zenon_Hed zenon_H18a zenon_H49 zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.32 apply (zenon_L8_); trivial. % 1.12/1.32 apply (zenon_L268_); trivial. % 1.12/1.32 (* end of lemma zenon_L269_ *) % 1.12/1.32 assert (zenon_L270_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H205. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18e | zenon_intro zenon_H21d ]. % 1.12/1.32 apply (zenon_L111_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H33 | zenon_intro zenon_H206 ]. % 1.12/1.32 apply (zenon_L18_); trivial. % 1.12/1.32 exact (zenon_H205 zenon_H206). % 1.12/1.32 (* end of lemma zenon_L270_ *) % 1.12/1.32 assert (zenon_L271_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H122 zenon_H1d zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H29. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.32 apply (zenon_L181_); trivial. % 1.12/1.32 exact (zenon_H1d zenon_H1e). % 1.12/1.32 (* end of lemma zenon_L271_ *) % 1.12/1.32 assert (zenon_L272_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> False). % 1.12/1.32 do 0 intro. intros zenon_H122 zenon_H1d zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.32 apply (zenon_L186_); trivial. % 1.12/1.32 exact (zenon_H1d zenon_H1e). % 1.12/1.32 (* end of lemma zenon_L272_ *) % 1.12/1.32 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2193)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H42 zenon_H235 zenon_H290 zenon_H1d8 zenon_H3 zenon_H3e zenon_H1d6 zenon_H1d7 zenon_H1d zenon_H122 zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.32 apply (zenon_L270_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.12/1.32 apply (zenon_L271_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.12/1.32 apply (zenon_L256_); trivial. % 1.12/1.32 apply (zenon_L272_); trivial. % 1.12/1.32 (* end of lemma zenon_L273_ *) % 1.12/1.32 assert (zenon_L274_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2193)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H46 zenon_H235 zenon_H290 zenon_H1d8 zenon_H3 zenon_H3e zenon_H1d6 zenon_H1d7 zenon_H122 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1d zenon_H1f. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L12_); trivial. % 1.12/1.32 apply (zenon_L273_); trivial. % 1.12/1.32 (* end of lemma zenon_L274_ *) % 1.12/1.32 assert (zenon_L275_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H156 zenon_H12b zenon_H290 zenon_H127 zenon_Hf3 zenon_H1c5 zenon_H1c1 zenon_H1b2 zenon_H122 zenon_H10a zenon_H17 zenon_Hf4 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Ha3 zenon_Hac zenon_H3e zenon_H3 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H18a zenon_H49 zenon_Hed zenon_H201 zenon_H1f8 zenon_H1f7 zenon_H10e zenon_H204. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.32 apply (zenon_L253_); trivial. % 1.12/1.32 apply (zenon_L260_); trivial. % 1.12/1.32 apply (zenon_L216_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.32 apply (zenon_L263_); trivial. % 1.12/1.32 apply (zenon_L260_); trivial. % 1.12/1.32 apply (zenon_L269_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.32 apply (zenon_L253_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L274_); trivial. % 1.12/1.32 apply (zenon_L259_); trivial. % 1.12/1.32 apply (zenon_L269_); trivial. % 1.12/1.32 (* end of lemma zenon_L275_ *) % 1.12/1.32 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_H76 zenon_H65 zenon_Ha3. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.32 apply (zenon_L245_); trivial. % 1.12/1.32 apply (zenon_L184_); trivial. % 1.12/1.32 (* end of lemma zenon_L276_ *) % 1.12/1.32 assert (zenon_L277_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hea zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H5a zenon_H52 zenon_H50 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.32 apply (zenon_L265_); trivial. % 1.12/1.32 apply (zenon_L276_); trivial. % 1.12/1.32 (* end of lemma zenon_L277_ *) % 1.12/1.32 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hed zenon_H18b zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec zenon_H25e zenon_H1ae zenon_H13e zenon_H13d zenon_H13c zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H250 zenon_H122 zenon_Heb. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L218_); trivial. % 1.12/1.32 apply (zenon_L277_); trivial. % 1.12/1.32 (* end of lemma zenon_L278_ *) % 1.12/1.32 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_Hed zenon_H18b zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec zenon_H25e zenon_H1ae zenon_H13e zenon_H13d zenon_H13c zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H250 zenon_H122 zenon_Heb zenon_H3 zenon_H17. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.32 apply (zenon_L8_); trivial. % 1.12/1.32 apply (zenon_L278_); trivial. % 1.12/1.32 (* end of lemma zenon_L279_ *) % 1.12/1.32 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H200 zenon_H127 zenon_Hf3 zenon_Hf4 zenon_Hed zenon_H18b zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec zenon_H25e zenon_H1ae zenon_H13e zenon_H13d zenon_H13c zenon_H250 zenon_H122 zenon_Heb zenon_H17 zenon_H3 zenon_H5 zenon_H7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_L4_); trivial. % 1.12/1.32 apply (zenon_L279_); trivial. % 1.12/1.32 (* end of lemma zenon_L280_ *) % 1.12/1.32 assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(hskp10)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H42 zenon_H294 zenon_H12a zenon_H113 zenon_H112 zenon_H5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H18e | zenon_intro zenon_H295 ]. % 1.12/1.32 apply (zenon_L111_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H33 | zenon_intro zenon_H6 ]. % 1.12/1.32 apply (zenon_L18_); trivial. % 1.12/1.32 exact (zenon_H5 zenon_H6). % 1.12/1.32 (* end of lemma zenon_L281_ *) % 1.12/1.32 assert (zenon_L282_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H46 zenon_H294 zenon_H5 zenon_H12a zenon_H113 zenon_H112 zenon_H1b zenon_H1d zenon_H1f. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L12_); trivial. % 1.12/1.32 apply (zenon_L281_); trivial. % 1.12/1.32 (* end of lemma zenon_L282_ *) % 1.12/1.32 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H25b zenon_H1d4 zenon_H19 zenon_H5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H253. zenon_intro zenon_H25d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1d5 ]. % 1.12/1.32 apply (zenon_L190_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 1.12/1.32 exact (zenon_H19 zenon_H1a). % 1.12/1.32 exact (zenon_H5 zenon_H6). % 1.12/1.32 (* end of lemma zenon_L283_ *) % 1.12/1.32 assert (zenon_L284_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H25e zenon_H1d4 zenon_H5 zenon_H19 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H1d zenon_H250. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.12/1.32 apply (zenon_L217_); trivial. % 1.12/1.32 apply (zenon_L283_); trivial. % 1.12/1.32 (* end of lemma zenon_L284_ *) % 1.12/1.32 assert (zenon_L285_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H46 zenon_H294 zenon_H12a zenon_H113 zenon_H112 zenon_H250 zenon_H1d zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H5 zenon_H1d4 zenon_H25e. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L284_); trivial. % 1.12/1.32 apply (zenon_L281_); trivial. % 1.12/1.32 (* end of lemma zenon_L285_ *) % 1.12/1.32 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H49 zenon_Ha5 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.32 apply (zenon_L161_); trivial. % 1.12/1.32 apply (zenon_L42_); trivial. % 1.12/1.32 (* end of lemma zenon_L286_ *) % 1.12/1.32 assert (zenon_L287_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hca zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H49 zenon_Ha5 zenon_H21a zenon_H197 zenon_H19 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.32 apply (zenon_L121_); trivial. % 1.12/1.32 apply (zenon_L286_); trivial. % 1.12/1.32 (* end of lemma zenon_L287_ *) % 1.12/1.32 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((hskp13)\/((hskp0)\/(hskp10))) -> (~(hskp10)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H126 zenon_H204 zenon_Hf3 zenon_Hed zenon_H10a zenon_H18a zenon_H71 zenon_H1a5 zenon_He6 zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H21a zenon_Ha5 zenon_H49 zenon_Hac zenon_Hec zenon_Hca zenon_H25e zenon_H1d4 zenon_H250 zenon_H17 zenon_H7 zenon_H5 zenon_H3 zenon_H46 zenon_H294 zenon_H1b zenon_H1f zenon_H1b2 zenon_Ha3 zenon_H65 zenon_H76 zenon_H281 zenon_H280 zenon_H27f zenon_H1c1 zenon_H75 zenon_H1c5 zenon_Hf4 zenon_H127. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_L4_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L282_); trivial. % 1.12/1.32 apply (zenon_L248_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_L4_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.32 apply (zenon_L8_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L285_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L287_); trivial. % 1.12/1.32 apply (zenon_L267_); trivial. % 1.12/1.32 (* end of lemma zenon_L288_ *) % 1.12/1.32 assert (zenon_L289_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hdc zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.12/1.32 generalize (zenon_Hdc (a2179)). zenon_intro zenon_H299. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H9 | zenon_intro zenon_H29a ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29c | zenon_intro zenon_H29b ]. % 1.12/1.32 exact (zenon_H296 zenon_H29c). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H29e | zenon_intro zenon_H29d ]. % 1.12/1.32 exact (zenon_H29e zenon_H297). % 1.12/1.32 exact (zenon_H29d zenon_H298). % 1.12/1.32 (* end of lemma zenon_L289_ *) % 1.12/1.32 assert (zenon_L290_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H16d zenon_H298 zenon_H297 zenon_H296 zenon_Ha zenon_H10c zenon_H5. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H16e ]. % 1.12/1.32 apply (zenon_L289_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H10d | zenon_intro zenon_H6 ]. % 1.12/1.32 exact (zenon_H10c zenon_H10d). % 1.12/1.32 exact (zenon_H5 zenon_H6). % 1.12/1.32 (* end of lemma zenon_L290_ *) % 1.12/1.32 assert (zenon_L291_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H127 zenon_Hf3 zenon_Hf4 zenon_Heb zenon_He6 zenon_He7 zenon_He0 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_Hc3 zenon_Hed zenon_H1f zenon_H1b zenon_H112 zenon_H113 zenon_H12a zenon_H294 zenon_H46 zenon_H17 zenon_H3 zenon_H5 zenon_H7. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.32 apply (zenon_L4_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.32 apply (zenon_L8_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.32 apply (zenon_L282_); trivial. % 1.12/1.32 apply (zenon_L58_); trivial. % 1.12/1.32 (* end of lemma zenon_L291_ *) % 1.12/1.32 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_Hf4 zenon_Heb zenon_He6 zenon_He7 zenon_He0 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_Hc3 zenon_Hed zenon_H1f zenon_H1b zenon_H294 zenon_H46 zenon_H17 zenon_H3 zenon_H5 zenon_H7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.32 apply (zenon_L291_); trivial. % 1.12/1.32 (* end of lemma zenon_L292_ *) % 1.12/1.32 assert (zenon_L293_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((hskp13)\/((hskp0)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_Hed zenon_H193 zenon_H18b zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_H17 zenon_H3 zenon_H7 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.32 apply (zenon_L290_); trivial. % 1.12/1.32 apply (zenon_L114_); trivial. % 1.12/1.32 (* end of lemma zenon_L293_ *) % 1.12/1.32 assert (zenon_L294_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H29f zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H160 zenon_H161 zenon_H171 zenon_H15e zenon_Ha zenon_H21. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a0 ]. % 1.12/1.32 apply (zenon_L60_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H13b | zenon_intro zenon_H22 ]. % 1.12/1.32 apply (zenon_L109_); trivial. % 1.12/1.32 exact (zenon_H21 zenon_H22). % 1.12/1.32 (* end of lemma zenon_L294_ *) % 1.12/1.32 assert (zenon_L295_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp8)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H156 zenon_H2a1 zenon_H21 zenon_H15e zenon_H161 zenon_H160 zenon_H29f zenon_H17f. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.12/1.32 apply (zenon_L60_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.12/1.32 apply (zenon_L294_); trivial. % 1.12/1.32 exact (zenon_H17f zenon_H180). % 1.12/1.32 (* end of lemma zenon_L295_ *) % 1.12/1.32 assert (zenon_L296_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (ndr1_0) -> ((hskp13)\/((hskp0)\/(hskp10))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H159 zenon_H2a1 zenon_H17f zenon_H21 zenon_H29f zenon_H16d zenon_H298 zenon_H297 zenon_H296 zenon_Ha zenon_H7 zenon_H3 zenon_H17 zenon_H185 zenon_H161 zenon_H160 zenon_H15e zenon_H18a zenon_H49 zenon_H18b zenon_H193 zenon_Hed zenon_Hf3 zenon_H127 zenon_H12b. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.12/1.32 apply (zenon_L293_); trivial. % 1.12/1.32 apply (zenon_L295_); trivial. % 1.12/1.32 (* end of lemma zenon_L296_ *) % 1.12/1.32 assert (zenon_L297_ : (forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109)))))) -> (ndr1_0) -> (c0_1 (a2179)) -> (forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62)))))) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1b4 zenon_Ha zenon_H297 zenon_Hb zenon_H296 zenon_H298. % 1.12/1.32 generalize (zenon_H1b4 (a2179)). zenon_intro zenon_H2a3. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H29e | zenon_intro zenon_H2a5 ]. % 1.12/1.32 exact (zenon_H29e zenon_H297). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29d ]. % 1.12/1.32 generalize (zenon_Hb (a2179)). zenon_intro zenon_H2a7. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a8 ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 1.12/1.32 exact (zenon_H2a6 zenon_H2aa). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H29c | zenon_intro zenon_H29e ]. % 1.12/1.32 exact (zenon_H296 zenon_H29c). % 1.12/1.32 exact (zenon_H29e zenon_H297). % 1.12/1.32 exact (zenon_H29d zenon_H298). % 1.12/1.32 (* end of lemma zenon_L297_ *) % 1.12/1.32 assert (zenon_L298_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> (c0_1 (a2208)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62)))))) -> (c0_1 (a2179)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1c1 zenon_H68 zenon_H69 zenon_H67 zenon_Ha0 zenon_H298 zenon_H296 zenon_Hb zenon_H297 zenon_Ha zenon_H1be. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.12/1.32 apply (zenon_L211_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.12/1.32 apply (zenon_L297_); trivial. % 1.12/1.32 exact (zenon_H1be zenon_H1bf). % 1.12/1.32 (* end of lemma zenon_L298_ *) % 1.12/1.32 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H70 zenon_H17 zenon_H65 zenon_H10c zenon_H1c1 zenon_H298 zenon_H296 zenon_H297 zenon_H1be zenon_H10e zenon_H15 zenon_H3. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H10f ]. % 1.12/1.32 apply (zenon_L298_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H10d | zenon_intro zenon_H66 ]. % 1.12/1.32 exact (zenon_H10c zenon_H10d). % 1.12/1.32 exact (zenon_H65 zenon_H66). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H4 ]. % 1.12/1.32 exact (zenon_H15 zenon_H16). % 1.12/1.32 exact (zenon_H3 zenon_H4). % 1.12/1.32 (* end of lemma zenon_L299_ *) % 1.12/1.32 assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf0 zenon_H75 zenon_H17 zenon_H3 zenon_H15 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_H10c zenon_H10e zenon_H65 zenon_H76. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.32 apply (zenon_L50_); trivial. % 1.12/1.32 apply (zenon_L299_); trivial. % 1.12/1.32 (* end of lemma zenon_L300_ *) % 1.12/1.32 assert (zenon_L301_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H46 zenon_Heb zenon_H17 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_H10c zenon_H10e zenon_H235 zenon_H122 zenon_H250 zenon_H217 zenon_H209 zenon_H3e zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H1ae zenon_H25e zenon_H1a5 zenon_H10a zenon_H3 zenon_H15 zenon_H1d zenon_H23e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H197 zenon_H108 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_Hca. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.32 apply (zenon_L179_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.32 apply (zenon_L192_); trivial. % 1.12/1.32 apply (zenon_L300_); trivial. % 1.12/1.32 (* end of lemma zenon_L301_ *) % 1.12/1.32 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf5 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H3 zenon_H10a zenon_H10c zenon_H10e zenon_Hec. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.32 apply (zenon_L207_); trivial. % 1.12/1.32 apply (zenon_L65_); trivial. % 1.12/1.32 apply (zenon_L208_); trivial. % 1.12/1.32 (* end of lemma zenon_L302_ *) % 1.12/1.32 assert (zenon_L303_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.12/1.32 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H1d7 zenon_H1d6 zenon_H29 zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.12/1.32 apply (zenon_L181_); trivial. % 1.12/1.32 apply (zenon_L289_); trivial. % 1.12/1.32 (* end of lemma zenon_L303_ *) % 1.12/1.32 assert (zenon_L304_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp8)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H1fd zenon_H183 zenon_H298 zenon_H297 zenon_H296 zenon_He0 zenon_H21 zenon_H15e zenon_H161 zenon_H160 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H29f zenon_H26b zenon_H26c zenon_H26d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.12/1.32 apply (zenon_L303_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.12/1.32 apply (zenon_L294_); trivial. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 (* end of lemma zenon_L304_ *) % 1.12/1.32 assert (zenon_L305_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H201 zenon_H183 zenon_H15e zenon_H161 zenon_H160 zenon_H21 zenon_H29f zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H218 zenon_H1 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_Ha5 zenon_H49 zenon_H26d zenon_H26c zenon_H26b zenon_H3 zenon_H10a zenon_Hca. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.32 apply (zenon_L230_); trivial. % 1.12/1.32 apply (zenon_L304_); trivial. % 1.12/1.32 (* end of lemma zenon_L305_ *) % 1.12/1.32 assert (zenon_L306_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.12/1.32 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H52 zenon_H50 zenon_H5a zenon_H102 zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.12/1.32 apply (zenon_L73_); trivial. % 1.12/1.32 apply (zenon_L289_); trivial. % 1.12/1.32 (* end of lemma zenon_L306_ *) % 1.12/1.32 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp0)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hf5 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H298 zenon_H297 zenon_H296 zenon_H26b zenon_H26c zenon_H26d zenon_He0 zenon_H3. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.32 apply (zenon_L60_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.32 apply (zenon_L306_); trivial. % 1.12/1.32 exact (zenon_H3 zenon_H4). % 1.12/1.32 (* end of lemma zenon_L307_ *) % 1.12/1.32 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_H10a zenon_H26b zenon_H26c zenon_H26d zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H3 zenon_H17. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.32 apply (zenon_L8_); trivial. % 1.12/1.32 apply (zenon_L307_); trivial. % 1.12/1.32 (* end of lemma zenon_L308_ *) % 1.12/1.32 assert (zenon_L309_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H18b zenon_H34 zenon_H35 zenon_H36 zenon_H205 zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_Hbb zenon_Hba zenon_Hb9 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H108 zenon_H1d zenon_H3 zenon_H10a. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.32 apply (zenon_L63_); trivial. % 1.12/1.32 apply (zenon_L163_); trivial. % 1.12/1.32 (* end of lemma zenon_L309_ *) % 1.12/1.32 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp2)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H152 zenon_H22e zenon_H49 zenon_H79 zenon_H7b zenon_Ha5 zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.32 apply (zenon_L88_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.32 apply (zenon_L165_); trivial. % 1.12/1.32 exact (zenon_H1 zenon_H2). % 1.12/1.32 (* end of lemma zenon_L310_ *) % 1.12/1.32 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H232 zenon_Hca zenon_H155 zenon_H22e zenon_H1 zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H49 zenon_H4b zenon_H4d. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.32 apply (zenon_L25_); trivial. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.32 apply (zenon_L86_); trivial. % 1.12/1.32 apply (zenon_L310_); trivial. % 1.12/1.32 (* end of lemma zenon_L311_ *) % 1.12/1.32 assert (zenon_L312_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hb0 zenon_Ha zenon_H4f zenon_H149 zenon_H14b zenon_H14a. % 1.12/1.32 generalize (zenon_Hb0 (a2196)). zenon_intro zenon_H2ab. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ac ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H17e | zenon_intro zenon_H2ad ]. % 1.12/1.32 generalize (zenon_H4f (a2196)). zenon_intro zenon_H2ae. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H9 | zenon_intro zenon_H2af ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H17b | zenon_intro zenon_H2b0 ]. % 1.12/1.32 exact (zenon_H17b zenon_H17e). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 1.12/1.32 exact (zenon_H14f zenon_H149). % 1.12/1.32 exact (zenon_H150 zenon_H14b). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H14f | zenon_intro zenon_H151 ]. % 1.12/1.32 exact (zenon_H14f zenon_H149). % 1.12/1.32 exact (zenon_H151 zenon_H14a). % 1.12/1.32 (* end of lemma zenon_L312_ *) % 1.12/1.32 assert (zenon_L313_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_H13e zenon_H13d zenon_H13c zenon_Hb0 zenon_Ha zenon_H149 zenon_H14b zenon_H14a. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.12/1.32 apply (zenon_L46_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.12/1.32 apply (zenon_L84_); trivial. % 1.12/1.32 apply (zenon_L312_); trivial. % 1.12/1.32 (* end of lemma zenon_L313_ *) % 1.12/1.32 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H152 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H13c zenon_H13d zenon_H13e zenon_Hb9 zenon_Hba zenon_Hbb zenon_H18b zenon_H87 zenon_H88 zenon_H89. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.12/1.32 apply (zenon_L60_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.12/1.32 apply (zenon_L313_); trivial. % 1.12/1.32 apply (zenon_L36_); trivial. % 1.12/1.32 (* end of lemma zenon_L314_ *) % 1.12/1.32 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H18b zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.32 apply (zenon_L86_); trivial. % 1.12/1.32 apply (zenon_L314_); trivial. % 1.12/1.32 (* end of lemma zenon_L315_ *) % 1.12/1.32 assert (zenon_L316_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hed zenon_H155 zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H18b zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.12/1.32 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.32 apply (zenon_L159_); trivial. % 1.12/1.32 apply (zenon_L315_); trivial. % 1.12/1.32 (* end of lemma zenon_L316_ *) % 1.12/1.32 assert (zenon_L317_ : (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c0_1 (a2186))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H78 zenon_Ha zenon_Hf9 zenon_H33 zenon_Hfa zenon_Hfb. % 1.12/1.32 generalize (zenon_H78 (a2186)). zenon_intro zenon_H2b1. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2b1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b2 ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Hff | zenon_intro zenon_H2b3 ]. % 1.12/1.32 exact (zenon_Hf9 zenon_Hff). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H100 ]. % 1.12/1.32 generalize (zenon_H33 (a2186)). zenon_intro zenon_H2b5. % 1.12/1.32 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b6 ]. % 1.12/1.32 exact (zenon_H9 zenon_Ha). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H101 | zenon_intro zenon_H2b7 ]. % 1.12/1.32 exact (zenon_Hfa zenon_H101). % 1.12/1.32 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H100 ]. % 1.12/1.32 exact (zenon_H2b8 zenon_H2b4). % 1.12/1.32 exact (zenon_H100 zenon_Hfb). % 1.12/1.32 exact (zenon_H100 zenon_Hfb). % 1.12/1.32 (* end of lemma zenon_L317_ *) % 1.12/1.32 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> False). % 1.12/1.32 do 0 intro. intros zenon_H232 zenon_H22e zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H1. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H7a | zenon_intro zenon_H231 ]. % 1.12/1.32 apply (zenon_L225_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H33 | zenon_intro zenon_H224 ]. % 1.12/1.32 apply (zenon_L317_); trivial. % 1.12/1.32 apply (zenon_L165_); trivial. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.32 apply (zenon_L165_); trivial. % 1.12/1.32 exact (zenon_H1 zenon_H2). % 1.12/1.32 (* end of lemma zenon_L318_ *) % 1.12/1.32 assert (zenon_L319_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_Hea zenon_H235 zenon_H22e zenon_H1 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H18b zenon_H110 zenon_H155 zenon_Hed. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.32 apply (zenon_L316_); trivial. % 1.12/1.32 apply (zenon_L318_); trivial. % 1.12/1.32 (* end of lemma zenon_L319_ *) % 1.12/1.32 assert (zenon_L320_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.32 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hf3 zenon_Hac zenon_H17 zenon_H46 zenon_H235 zenon_H155 zenon_H22e zenon_Ha5 zenon_H147 zenon_H217 zenon_H10a zenon_H3 zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H108 zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_Hf4. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.32 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.33 apply (zenon_L12_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L159_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L25_); trivial. % 1.12/1.33 apply (zenon_L309_); trivial. % 1.12/1.33 apply (zenon_L311_); trivial. % 1.12/1.33 apply (zenon_L319_); trivial. % 1.12/1.33 apply (zenon_L91_); trivial. % 1.12/1.33 (* end of lemma zenon_L320_ *) % 1.12/1.33 assert (zenon_L321_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a2208)) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> False). % 1.12/1.33 do 0 intro. intros zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H26d zenon_H26c zenon_H26b zenon_H33 zenon_Ha zenon_H67 zenon_H68 zenon_H69. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.12/1.33 apply (zenon_L80_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.12/1.33 apply (zenon_L236_); trivial. % 1.12/1.33 apply (zenon_L32_); trivial. % 1.12/1.33 (* end of lemma zenon_L321_ *) % 1.12/1.33 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp0)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H70 zenon_H3e zenon_H298 zenon_H297 zenon_H296 zenon_H1d6 zenon_H1d7 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H12c zenon_H12d zenon_H12e zenon_He7 zenon_H3. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.33 apply (zenon_L303_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.33 apply (zenon_L321_); trivial. % 1.12/1.33 exact (zenon_H3 zenon_H4). % 1.12/1.33 (* end of lemma zenon_L322_ *) % 1.12/1.33 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H42 zenon_H75 zenon_H12c zenon_H12d zenon_H12e zenon_He7 zenon_H26b zenon_H26c zenon_H26d zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.33 apply (zenon_L183_); trivial. % 1.12/1.33 apply (zenon_L322_); trivial. % 1.12/1.33 (* end of lemma zenon_L323_ *) % 1.12/1.33 assert (zenon_L324_ : (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69)))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H78 zenon_Ha zenon_H59 zenon_H1d6 zenon_H1d7 zenon_H1d8. % 1.12/1.33 generalize (zenon_H78 (a2193)). zenon_intro zenon_H1df. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e0 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 1.12/1.33 apply (zenon_L180_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1dd ]. % 1.12/1.33 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.33 exact (zenon_H1dd zenon_H1d8). % 1.12/1.33 (* end of lemma zenon_L324_ *) % 1.12/1.33 assert (zenon_L325_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.12/1.33 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H78 zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.12/1.33 apply (zenon_L225_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.12/1.33 apply (zenon_L324_); trivial. % 1.12/1.33 apply (zenon_L289_); trivial. % 1.12/1.33 (* end of lemma zenon_L325_ *) % 1.12/1.33 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp11)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H25b zenon_H1f8 zenon_H298 zenon_H297 zenon_H296 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H26b zenon_H26c zenon_H26d zenon_He0 zenon_H10c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H253. zenon_intro zenon_H25d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.33 apply (zenon_L325_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.33 apply (zenon_L190_); trivial. % 1.12/1.33 exact (zenon_H10c zenon_H10d). % 1.12/1.33 (* end of lemma zenon_L326_ *) % 1.12/1.33 assert (zenon_L327_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H25e zenon_H1f8 zenon_H10c zenon_H26b zenon_H26c zenon_H26d zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H1d zenon_H250. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.12/1.33 apply (zenon_L217_); trivial. % 1.12/1.33 apply (zenon_L326_); trivial. % 1.12/1.33 (* end of lemma zenon_L327_ *) % 1.12/1.33 assert (zenon_L328_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp0)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_H3e zenon_H298 zenon_H297 zenon_H296 zenon_H1d6 zenon_H1d7 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H110 zenon_H3. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.33 apply (zenon_L303_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.12/1.33 apply (zenon_L60_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.12/1.33 apply (zenon_L236_); trivial. % 1.12/1.33 apply (zenon_L36_); trivial. % 1.12/1.33 exact (zenon_H3 zenon_H4). % 1.12/1.33 (* end of lemma zenon_L328_ *) % 1.12/1.33 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H200 zenon_H127 zenon_Hf3 zenon_H10a zenon_H17 zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H12c zenon_H12d zenon_H12e zenon_H1f7 zenon_H10c zenon_H1f8 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H21a zenon_H218 zenon_H25e zenon_H26b zenon_H26c zenon_H26d zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H250 zenon_H110 zenon_H3 zenon_H3e zenon_Hf4 zenon_H201. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.33 apply (zenon_L263_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L327_); trivial. % 1.12/1.33 apply (zenon_L328_); trivial. % 1.12/1.33 apply (zenon_L308_); trivial. % 1.12/1.33 (* end of lemma zenon_L329_ *) % 1.12/1.33 assert (zenon_L330_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hf3 zenon_H122 zenon_H17 zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_H4d zenon_H4b zenon_H49 zenon_H10a zenon_H3 zenon_H110 zenon_Hca zenon_Hf4. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L254_); trivial. % 1.12/1.33 apply (zenon_L68_); trivial. % 1.12/1.33 apply (zenon_L77_); trivial. % 1.12/1.33 (* end of lemma zenon_L330_ *) % 1.12/1.33 assert (zenon_L331_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H2b9 zenon_Ha zenon_H2ba zenon_H2bb zenon_H2bc. % 1.12/1.33 generalize (zenon_H2b9 (a2177)). zenon_intro zenon_H2bd. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ]. % 1.12/1.33 exact (zenon_H2ba zenon_H2c0). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ]. % 1.12/1.33 exact (zenon_H2bb zenon_H2c2). % 1.12/1.33 exact (zenon_H2bc zenon_H2c1). % 1.12/1.33 (* end of lemma zenon_L331_ *) % 1.12/1.33 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp2)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hab zenon_H2c3 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H49. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.12/1.33 apply (zenon_L38_); trivial. % 1.12/1.33 exact (zenon_H49 zenon_H4a). % 1.12/1.33 (* end of lemma zenon_L332_ *) % 1.12/1.33 assert (zenon_L333_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H76 zenon_H65 zenon_Ha zenon_H50 zenon_H52 zenon_H5a zenon_H61 zenon_H71 zenon_H75. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_L34_); trivial. % 1.12/1.33 apply (zenon_L332_); trivial. % 1.12/1.33 (* end of lemma zenon_L333_ *) % 1.12/1.33 assert (zenon_L334_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Heb zenon_H122 zenon_H1d zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H76 zenon_H65 zenon_Ha zenon_H50 zenon_H52 zenon_H5a zenon_H71 zenon_H75 zenon_H4d zenon_H4b zenon_Hc4 zenon_He zenon_Hd zenon_Hc zenon_H5 zenon_Hc3 zenon_Hca zenon_Hed. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L333_); trivial. % 1.12/1.33 apply (zenon_L48_); trivial. % 1.12/1.33 apply (zenon_L130_); trivial. % 1.12/1.33 (* end of lemma zenon_L334_ *) % 1.12/1.33 assert (zenon_L335_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a2219))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (c2_1 (a2219)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H18e zenon_Ha zenon_Hb9 zenon_Hd6 zenon_Hbb. % 1.12/1.33 generalize (zenon_H18e (a2219)). zenon_intro zenon_H2c5. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c6 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hdf ]. % 1.12/1.33 exact (zenon_Hb9 zenon_Hbf). % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc0 ]. % 1.12/1.33 apply (zenon_L52_); trivial. % 1.12/1.33 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.33 (* end of lemma zenon_L335_ *) % 1.12/1.33 assert (zenon_L336_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (c2_1 (a2219)) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H139 zenon_Hbb zenon_Hb9 zenon_Ha zenon_H18e zenon_H135 zenon_H137. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H13a ]. % 1.12/1.33 apply (zenon_L335_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H136 | zenon_intro zenon_H138 ]. % 1.12/1.33 exact (zenon_H135 zenon_H136). % 1.12/1.33 exact (zenon_H137 zenon_H138). % 1.12/1.33 (* end of lemma zenon_L336_ *) % 1.12/1.33 assert (zenon_L337_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc9 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H89 zenon_H88 zenon_H87 zenon_H139 zenon_H135 zenon_H137. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c8 ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H86 | zenon_intro zenon_H18e ]. % 1.12/1.33 apply (zenon_L36_); trivial. % 1.12/1.33 apply (zenon_L336_); trivial. % 1.12/1.33 (* end of lemma zenon_L337_ *) % 1.12/1.33 assert (zenon_L338_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H75 zenon_H71 zenon_H5a zenon_H52 zenon_H50 zenon_H65 zenon_H76 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L333_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 (* end of lemma zenon_L338_ *) % 1.12/1.33 assert (zenon_L339_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H171 zenon_Ha zenon_H18e zenon_Hb9 zenon_Hbb zenon_Hba. % 1.12/1.33 generalize (zenon_H171 (a2219)). zenon_intro zenon_H2c9. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2c9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ca ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hbe ]. % 1.12/1.33 generalize (zenon_H18e (a2219)). zenon_intro zenon_H2c5. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c6 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hdf ]. % 1.12/1.33 exact (zenon_Hb9 zenon_Hbf). % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc0 ]. % 1.12/1.33 exact (zenon_Hd7 zenon_Hdb). % 1.12/1.33 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 1.12/1.33 exact (zenon_Hba zenon_Hc1). % 1.12/1.33 exact (zenon_Hc0 zenon_Hbb). % 1.12/1.33 (* end of lemma zenon_L339_ *) % 1.12/1.33 assert (zenon_L340_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(c1_1 (a2219))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H2a1 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hba zenon_Hbb zenon_Hb9 zenon_H18e zenon_Ha zenon_H17f. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.12/1.33 apply (zenon_L60_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.12/1.33 apply (zenon_L339_); trivial. % 1.12/1.33 exact (zenon_H17f zenon_H180). % 1.12/1.33 (* end of lemma zenon_L340_ *) % 1.12/1.33 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp7)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc9 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H89 zenon_H88 zenon_H87 zenon_H2a1 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H17f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c8 ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H86 | zenon_intro zenon_H18e ]. % 1.12/1.33 apply (zenon_L36_); trivial. % 1.12/1.33 apply (zenon_L340_); trivial. % 1.12/1.33 (* end of lemma zenon_L341_ *) % 1.12/1.33 assert (zenon_L342_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hed zenon_H2c7 zenon_H17f zenon_H2a1 zenon_H89 zenon_H88 zenon_H87 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L159_); trivial. % 1.12/1.33 apply (zenon_L341_); trivial. % 1.12/1.33 (* end of lemma zenon_L342_ *) % 1.12/1.33 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp13)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H232 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H22e zenon_H65. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.33 apply (zenon_L317_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.33 apply (zenon_L165_); trivial. % 1.12/1.33 exact (zenon_H1 zenon_H2). % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L343_ *) % 1.12/1.33 assert (zenon_L344_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_H235 zenon_H2cb zenon_H65 zenon_H1 zenon_H22e zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2a1 zenon_H17f zenon_H2c7 zenon_Hed. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.33 apply (zenon_L342_); trivial. % 1.12/1.33 apply (zenon_L343_); trivial. % 1.12/1.33 (* end of lemma zenon_L344_ *) % 1.12/1.33 assert (zenon_L345_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c0_1 (a2186))) -> (c1_1 (a2213)) -> (c0_1 (a2213)) -> (~(c2_1 (a2213))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H1f8 zenon_Hfb zenon_Hfa zenon_H33 zenon_Hf9 zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H10c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.33 apply (zenon_L317_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.33 apply (zenon_L190_); trivial. % 1.12/1.33 exact (zenon_H10c zenon_H10d). % 1.12/1.33 (* end of lemma zenon_L345_ *) % 1.12/1.33 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp11)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H25b zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_H10c zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H1f8 zenon_H65. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H253. zenon_intro zenon_H25d. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.12/1.33 apply (zenon_L345_); trivial. % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L346_ *) % 1.12/1.33 assert (zenon_L347_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_H235 zenon_H2cb zenon_H65 zenon_H1 zenon_H22e zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H139 zenon_H137 zenon_H135 zenon_H2c7 zenon_Hed. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L159_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 apply (zenon_L343_); trivial. % 1.12/1.33 (* end of lemma zenon_L347_ *) % 1.12/1.33 assert (zenon_L348_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf4 zenon_H235 zenon_H1 zenon_H22e zenon_H217 zenon_H10a zenon_H3 zenon_H209 zenon_H139 zenon_H137 zenon_H135 zenon_H2c7 zenon_Hed zenon_H250 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H2ba zenon_H2bb zenon_H2bc zenon_H1f8 zenon_H10c zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H65 zenon_H2cb zenon_H25e. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.12/1.33 apply (zenon_L217_); trivial. % 1.12/1.33 apply (zenon_L346_); trivial. % 1.12/1.33 apply (zenon_L347_); trivial. % 1.12/1.33 (* end of lemma zenon_L348_ *) % 1.12/1.33 assert (zenon_L349_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_Hac zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H49 zenon_Ha5 zenon_H10a zenon_H3 zenon_H5a zenon_H50 zenon_H52 zenon_H65 zenon_H76 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H61 zenon_H71 zenon_H75. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_L207_); trivial. % 1.12/1.33 apply (zenon_L42_); trivial. % 1.12/1.33 (* end of lemma zenon_L349_ *) % 1.12/1.33 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hed zenon_H2c7 zenon_H17f zenon_H2a1 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H4d zenon_H4b zenon_H49 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_Ha5 zenon_Ha3 zenon_Hac zenon_Hec zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L75_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L25_); trivial. % 1.12/1.33 apply (zenon_L349_); trivial. % 1.12/1.33 apply (zenon_L341_); trivial. % 1.12/1.33 (* end of lemma zenon_L350_ *) % 1.12/1.33 assert (zenon_L351_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H112 zenon_H113 zenon_H12a. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c8 ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H86 | zenon_intro zenon_H18e ]. % 1.12/1.33 apply (zenon_L36_); trivial. % 1.12/1.33 apply (zenon_L111_); trivial. % 1.12/1.33 (* end of lemma zenon_L351_ *) % 1.12/1.33 assert (zenon_L352_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp13)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H2bc zenon_H2bb zenon_H2ba zenon_H11e zenon_H1 zenon_H113 zenon_H112 zenon_Ha zenon_H15 zenon_H3 zenon_H17. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L72_); trivial. % 1.12/1.33 apply (zenon_L351_); trivial. % 1.12/1.33 (* end of lemma zenon_L352_ *) % 1.12/1.33 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L75_); trivial. % 1.12/1.33 apply (zenon_L351_); trivial. % 1.12/1.33 (* end of lemma zenon_L353_ *) % 1.12/1.33 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.33 apply (zenon_L8_); trivial. % 1.12/1.33 apply (zenon_L353_); trivial. % 1.12/1.33 (* end of lemma zenon_L354_ *) % 1.12/1.33 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H11e zenon_H3 zenon_H17 zenon_H10a zenon_H122 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hf3. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.33 apply (zenon_L352_); trivial. % 1.12/1.33 apply (zenon_L353_); trivial. % 1.12/1.33 apply (zenon_L354_); trivial. % 1.12/1.33 (* end of lemma zenon_L355_ *) % 1.12/1.33 assert (zenon_L356_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H156 zenon_H12b zenon_H11e zenon_H127 zenon_Hf3 zenon_H1c5 zenon_H75 zenon_H1c1 zenon_Ha3 zenon_H76 zenon_H1b2 zenon_H122 zenon_H17 zenon_Hca zenon_Hec zenon_H10e zenon_H65 zenon_H108 zenon_H3 zenon_H10a zenon_H49 zenon_H4b zenon_H4d zenon_Hed zenon_H2c7 zenon_H17f zenon_H2a1 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H209 zenon_H217 zenon_H22e zenon_H2cb zenon_H235 zenon_Hf4 zenon_H139 zenon_H137 zenon_H135 zenon_H250 zenon_H1f8 zenon_H25e zenon_Hac zenon_Ha5 zenon_H71 zenon_H204. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L66_); trivial. % 1.12/1.33 apply (zenon_L344_); trivial. % 1.12/1.33 apply (zenon_L216_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_L348_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.33 apply (zenon_L8_); trivial. % 1.12/1.33 apply (zenon_L350_); trivial. % 1.12/1.33 apply (zenon_L355_); trivial. % 1.12/1.33 (* end of lemma zenon_L356_ *) % 1.12/1.33 assert (zenon_L357_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H2cd zenon_Hb1 zenon_H79 zenon_H26d zenon_H26c zenon_H26b zenon_Hb0 zenon_Ha zenon_H1be. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_He2 | zenon_intro zenon_H2ce ]. % 1.12/1.33 apply (zenon_L55_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H33 | zenon_intro zenon_H1bf ]. % 1.12/1.33 apply (zenon_L236_); trivial. % 1.12/1.33 exact (zenon_H1be zenon_H1bf). % 1.12/1.33 (* end of lemma zenon_L357_ *) % 1.12/1.33 assert (zenon_L358_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H214 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H2cd zenon_H1be zenon_H26d zenon_H26c zenon_H26b zenon_Hb1 zenon_H79 zenon_H2cf. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.12/1.33 apply (zenon_L357_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.12/1.33 apply (zenon_L157_); trivial. % 1.12/1.33 exact (zenon_H5f zenon_H60). % 1.12/1.33 apply (zenon_L65_); trivial. % 1.12/1.33 (* end of lemma zenon_L358_ *) % 1.12/1.33 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc2 zenon_H217 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H2cd zenon_H1be zenon_H26d zenon_H26c zenon_H26b zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.12/1.33 apply (zenon_L156_); trivial. % 1.12/1.33 apply (zenon_L358_); trivial. % 1.12/1.33 (* end of lemma zenon_L359_ *) % 1.12/1.33 assert (zenon_L360_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hca zenon_H217 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H2cd zenon_H1be zenon_H26d zenon_H26c zenon_H26b zenon_H2cf zenon_H205 zenon_H61 zenon_H209 zenon_H1 zenon_H1d0 zenon_H218. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L160_); trivial. % 1.12/1.33 apply (zenon_L359_); trivial. % 1.12/1.33 (* end of lemma zenon_L360_ *) % 1.12/1.33 assert (zenon_L361_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2219)) -> (~(c1_1 (a2219))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c3_1 (a2219))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H16d zenon_Hbb zenon_Hb9 zenon_Hd6 zenon_Hba zenon_Ha zenon_H10c zenon_H5. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H16e ]. % 1.12/1.33 apply (zenon_L53_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H10d | zenon_intro zenon_H6 ]. % 1.12/1.33 exact (zenon_H10c zenon_H10d). % 1.12/1.33 exact (zenon_H5 zenon_H6). % 1.12/1.33 (* end of lemma zenon_L361_ *) % 1.12/1.33 assert (zenon_L362_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp16)) -> (~(hskp20)) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H76 zenon_H1d zenon_H24e zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H250 zenon_H63 zenon_H65. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.33 apply (zenon_L188_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.33 exact (zenon_H63 zenon_H64). % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L362_ *) % 1.12/1.33 assert (zenon_L363_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp20)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H76 zenon_H65 zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H24e zenon_H1d zenon_H250 zenon_H61 zenon_H71 zenon_H75. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.33 apply (zenon_L362_); trivial. % 1.12/1.33 apply (zenon_L33_); trivial. % 1.12/1.33 apply (zenon_L332_); trivial. % 1.12/1.33 (* end of lemma zenon_L363_ *) % 1.12/1.33 assert (zenon_L364_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp16)) -> (~(hskp20)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp2)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc9 zenon_H18a zenon_H1d zenon_H24e zenon_H225 zenon_H226 zenon_H227 zenon_H250 zenon_H49. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H59 | zenon_intro zenon_H18c ]. % 1.12/1.33 apply (zenon_L188_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H4a ]. % 1.12/1.33 apply (zenon_L46_); trivial. % 1.12/1.33 exact (zenon_H49 zenon_H4a). % 1.12/1.33 (* end of lemma zenon_L364_ *) % 1.12/1.33 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp16)) -> (~(hskp20)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18a zenon_H75 zenon_H71 zenon_H250 zenon_H1d zenon_H24e zenon_H65 zenon_H76 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L363_); trivial. % 1.12/1.33 apply (zenon_L364_); trivial. % 1.12/1.33 (* end of lemma zenon_L365_ *) % 1.12/1.33 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H42 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_H65. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.12/1.33 apply (zenon_L18_); trivial. % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L366_ *) % 1.12/1.33 assert (zenon_L367_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H76 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H63 zenon_H65. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H59 | zenon_intro zenon_H77 ]. % 1.12/1.33 apply (zenon_L186_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H64 | zenon_intro zenon_H66 ]. % 1.12/1.33 exact (zenon_H63 zenon_H64). % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L367_ *) % 1.12/1.33 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H232 zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H89 zenon_H88 zenon_H87 zenon_H218 zenon_H1d0 zenon_H1 zenon_H75 zenon_H71 zenon_H2d1 zenon_H49 zenon_H65 zenon_H76 zenon_H22e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c3 zenon_Hec zenon_Hca. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L160_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d2 ]. % 1.12/1.33 apply (zenon_L44_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H4a ]. % 1.12/1.33 apply (zenon_L367_); trivial. % 1.12/1.33 exact (zenon_H49 zenon_H4a). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.33 apply (zenon_L165_); trivial. % 1.12/1.33 exact (zenon_H1 zenon_H2). % 1.12/1.33 apply (zenon_L33_); trivial. % 1.12/1.33 apply (zenon_L332_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 (* end of lemma zenon_L368_ *) % 1.12/1.33 assert (zenon_L369_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H18a zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H78 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H49. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H59 | zenon_intro zenon_H18c ]. % 1.12/1.33 apply (zenon_L324_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H4a ]. % 1.12/1.33 apply (zenon_L46_); trivial. % 1.12/1.33 exact (zenon_H49 zenon_H4a). % 1.12/1.33 (* end of lemma zenon_L369_ *) % 1.12/1.33 assert (zenon_L370_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp10)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc9 zenon_Hc3 zenon_H49 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H18a zenon_H5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.33 apply (zenon_L369_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.33 apply (zenon_L46_); trivial. % 1.12/1.33 exact (zenon_H5 zenon_H6). % 1.12/1.33 (* end of lemma zenon_L370_ *) % 1.12/1.33 assert (zenon_L371_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hed zenon_Hc3 zenon_H5 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H18a zenon_H4d zenon_H4b zenon_H49 zenon_H209 zenon_H205 zenon_H2cf zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_H10c zenon_H65 zenon_H10e zenon_Hec zenon_H217 zenon_Hca. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L25_); trivial. % 1.12/1.33 apply (zenon_L359_); trivial. % 1.12/1.33 apply (zenon_L370_); trivial. % 1.12/1.33 (* end of lemma zenon_L371_ *) % 1.12/1.33 assert (zenon_L372_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H22e zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H90 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.12/1.33 apply (zenon_L144_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.12/1.33 apply (zenon_L165_); trivial. % 1.12/1.33 exact (zenon_H1 zenon_H2). % 1.12/1.33 (* end of lemma zenon_L372_ *) % 1.12/1.33 assert (zenon_L373_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(hskp13)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H1 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H22e zenon_H76 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H63 zenon_H65. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.12/1.33 apply (zenon_L17_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.12/1.33 apply (zenon_L372_); trivial. % 1.12/1.33 apply (zenon_L367_); trivial. % 1.12/1.33 (* end of lemma zenon_L373_ *) % 1.12/1.33 assert (zenon_L374_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H3d zenon_Hec zenon_H10e zenon_H10c zenon_H290 zenon_H65 zenon_H76 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H1 zenon_H22e zenon_H61 zenon_H71 zenon_H75. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.33 apply (zenon_L373_); trivial. % 1.12/1.33 apply (zenon_L33_); trivial. % 1.12/1.33 apply (zenon_L65_); trivial. % 1.12/1.33 (* end of lemma zenon_L374_ *) % 1.12/1.33 assert (zenon_L375_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H43 zenon_Hec zenon_H10e zenon_H10c zenon_H290 zenon_H65 zenon_H76 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H1 zenon_H22e zenon_H61 zenon_H71 zenon_H75 zenon_H21 zenon_H23 zenon_H27. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.33 apply (zenon_L16_); trivial. % 1.12/1.33 apply (zenon_L374_); trivial. % 1.12/1.33 (* end of lemma zenon_L375_ *) % 1.12/1.33 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H232 zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H89 zenon_H88 zenon_H87 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H27 zenon_H23 zenon_H21 zenon_H75 zenon_H71 zenon_H22e zenon_H1 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H76 zenon_H65 zenon_H290 zenon_H10c zenon_H10e zenon_Hec zenon_H43. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L375_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 (* end of lemma zenon_L376_ *) % 1.12/1.33 assert (zenon_L377_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp18)) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp1)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hb6 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H26b zenon_H26c zenon_H26d zenon_Hc4 zenon_H65. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.12/1.33 apply (zenon_L331_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.12/1.33 apply (zenon_L236_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.12/1.33 apply (zenon_L6_); trivial. % 1.12/1.33 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.33 exact (zenon_H65 zenon_H66). % 1.12/1.33 (* end of lemma zenon_L377_ *) % 1.12/1.33 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf0 zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H89 zenon_H88 zenon_H87 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H10c zenon_H10e zenon_Hec. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L193_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 (* end of lemma zenon_L378_ *) % 1.12/1.33 assert (zenon_L379_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hea zenon_Heb zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H75 zenon_H71 zenon_H76 zenon_H10c zenon_H10e zenon_Hec zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hc4 zenon_He zenon_Hd zenon_Hc zenon_H26d zenon_H26c zenon_H26b zenon_H65 zenon_H2cb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.33 apply (zenon_L377_); trivial. % 1.12/1.33 apply (zenon_L378_); trivial. % 1.12/1.33 (* end of lemma zenon_L379_ *) % 1.12/1.33 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H10c zenon_H10e zenon_H26d zenon_H26c zenon_H26b zenon_H2cb zenon_Hed zenon_Hca zenon_Hc3 zenon_H5 zenon_Hc4 zenon_H4b zenon_H4d zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec zenon_H122 zenon_Heb zenon_H3 zenon_H17. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.33 apply (zenon_L8_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L334_); trivial. % 1.12/1.33 apply (zenon_L379_); trivial. % 1.12/1.33 (* end of lemma zenon_L380_ *) % 1.12/1.33 assert (zenon_L381_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H250 zenon_H1d zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H5 zenon_H1d4 zenon_H25e. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.33 apply (zenon_L284_); trivial. % 1.12/1.33 apply (zenon_L366_); trivial. % 1.12/1.33 (* end of lemma zenon_L381_ *) % 1.12/1.33 assert (zenon_L382_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a2265))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_H20b zenon_H78 zenon_H20d zenon_H20c. % 1.12/1.33 generalize (zenon_H1a6 (a2265)). zenon_intro zenon_H2d3. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d4 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H211 | zenon_intro zenon_H2d5 ]. % 1.12/1.33 exact (zenon_H20b zenon_H211). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H213 ]. % 1.12/1.33 generalize (zenon_H78 (a2265)). zenon_intro zenon_H2d7. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2d7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d8 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2d9 ]. % 1.12/1.33 exact (zenon_H2d6 zenon_H2da). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ]. % 1.12/1.33 exact (zenon_H20b zenon_H211). % 1.12/1.33 exact (zenon_H212 zenon_H20d). % 1.12/1.33 exact (zenon_H213 zenon_H20c). % 1.12/1.33 (* end of lemma zenon_L382_ *) % 1.12/1.33 assert (zenon_L383_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2265))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp10)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H1d4 zenon_H20c zenon_H20d zenon_H78 zenon_H20b zenon_Ha zenon_H19 zenon_H5. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1d5 ]. % 1.12/1.33 apply (zenon_L382_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 1.12/1.33 exact (zenon_H19 zenon_H1a). % 1.12/1.33 exact (zenon_H5 zenon_H6). % 1.12/1.33 (* end of lemma zenon_L383_ *) % 1.12/1.33 assert (zenon_L384_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (~(hskp29)) -> (~(hskp17)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H1a6 zenon_H145 zenon_H19. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H15f | zenon_intro zenon_H170 ]. % 1.12/1.33 apply (zenon_L261_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H146 | zenon_intro zenon_H1a ]. % 1.12/1.33 exact (zenon_H145 zenon_H146). % 1.12/1.33 exact (zenon_H19 zenon_H1a). % 1.12/1.33 (* end of lemma zenon_L384_ *) % 1.12/1.33 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(c2_1 (a2265))) -> (~(hskp27)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H152 zenon_H2cf zenon_H61 zenon_H71 zenon_H20d zenon_H20c zenon_H20b zenon_H5f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H4f | zenon_intro zenon_H74 ]. % 1.12/1.33 apply (zenon_L312_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ]. % 1.12/1.33 exact (zenon_H5f zenon_H60). % 1.12/1.33 exact (zenon_H61 zenon_H62). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.12/1.33 apply (zenon_L157_); trivial. % 1.12/1.33 exact (zenon_H5f zenon_H60). % 1.12/1.33 (* end of lemma zenon_L385_ *) % 1.12/1.33 assert (zenon_L386_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a2193))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_H1d7 zenon_Hf8 zenon_H1d6 zenon_H1d8. % 1.12/1.33 generalize (zenon_Ha7 (a2193)). zenon_intro zenon_H25f. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_H9 | zenon_intro zenon_H260 ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1db ]. % 1.12/1.33 exact (zenon_H1d7 zenon_H1e3). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 1.12/1.33 generalize (zenon_Hf8 (a2193)). zenon_intro zenon_H2db. % 1.12/1.33 apply (zenon_imply_s _ _ zenon_H2db); [ zenon_intro zenon_H9 | zenon_intro zenon_H2dc ]. % 1.12/1.33 exact (zenon_H9 zenon_Ha). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H2dd ]. % 1.12/1.33 exact (zenon_H1de zenon_H1e2). % 1.12/1.33 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1dd ]. % 1.12/1.33 exact (zenon_H1d6 zenon_H1dc). % 1.12/1.33 exact (zenon_H1dd zenon_H1d8). % 1.12/1.33 exact (zenon_H1dd zenon_H1d8). % 1.12/1.33 (* end of lemma zenon_L386_ *) % 1.12/1.33 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(c2_1 (a2265))) -> (~(hskp0)) -> False). % 1.12/1.33 do 0 intro. intros zenon_H152 zenon_H10a zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_H1d4 zenon_H19 zenon_H5 zenon_Hac zenon_H20d zenon_H20c zenon_H20b zenon_H3. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.12/1.33 apply (zenon_L383_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.12/1.33 apply (zenon_L386_); trivial. % 1.12/1.33 apply (zenon_L87_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.12/1.33 apply (zenon_L157_); trivial. % 1.12/1.33 exact (zenon_H3 zenon_H4). % 1.12/1.33 (* end of lemma zenon_L387_ *) % 1.12/1.33 assert (zenon_L388_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/((hskp20)\/(hskp16))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a2213))/\((c1_1 (a2213))/\(~(c2_1 (a2213))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H201 zenon_H290 zenon_Hac zenon_H10a zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H250 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H5 zenon_H1d4 zenon_H25e zenon_H235 zenon_H218 zenon_H1 zenon_H75 zenon_H2d1 zenon_H49 zenon_H76 zenon_H22e zenon_H2c3 zenon_Hca zenon_H217 zenon_Hec zenon_H10e zenon_H1f8 zenon_H10c zenon_H16f zenon_H71 zenon_H2cf zenon_H155 zenon_H209 zenon_H139 zenon_H137 zenon_H135 zenon_H2c7 zenon_Hed zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_Hf4. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L381_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.12/1.33 apply (zenon_L156_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.33 apply (zenon_L383_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.33 apply (zenon_L384_); trivial. % 1.12/1.33 exact (zenon_H10c zenon_H10d). % 1.12/1.33 apply (zenon_L385_); trivial. % 1.12/1.33 apply (zenon_L65_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 apply (zenon_L368_); trivial. % 1.12/1.33 apply (zenon_L20_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L381_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.12/1.33 apply (zenon_L16_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.12/1.33 apply (zenon_L156_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.12/1.33 apply (zenon_L17_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.33 apply (zenon_L144_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.33 apply (zenon_L384_); trivial. % 1.12/1.33 exact (zenon_H10c zenon_H10d). % 1.12/1.33 apply (zenon_L140_); trivial. % 1.12/1.33 apply (zenon_L387_); trivial. % 1.12/1.33 apply (zenon_L337_); trivial. % 1.12/1.33 apply (zenon_L376_); trivial. % 1.12/1.33 apply (zenon_L20_); trivial. % 1.12/1.33 (* end of lemma zenon_L388_ *) % 1.12/1.33 assert (zenon_L389_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H122 zenon_H1d zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H78. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.12/1.33 apply (zenon_L324_); trivial. % 1.12/1.33 exact (zenon_H1d zenon_H1e). % 1.12/1.33 (* end of lemma zenon_L389_ *) % 1.12/1.33 assert (zenon_L390_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp10)) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hc9 zenon_Hc3 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d zenon_H122 zenon_H5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.33 apply (zenon_L389_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.33 apply (zenon_L46_); trivial. % 1.12/1.33 exact (zenon_H5 zenon_H6). % 1.12/1.33 (* end of lemma zenon_L390_ *) % 1.12/1.33 assert (zenon_L391_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hed zenon_Hc3 zenon_H5 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d zenon_H122 zenon_H75 zenon_H71 zenon_H5a zenon_H52 zenon_H50 zenon_Ha zenon_H65 zenon_H76 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L333_); trivial. % 1.12/1.33 apply (zenon_L390_); trivial. % 1.12/1.33 (* end of lemma zenon_L391_ *) % 1.12/1.33 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H122 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H5 zenon_Hc3 zenon_Hed. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_L391_); trivial. % 1.12/1.33 apply (zenon_L351_); trivial. % 1.12/1.33 (* end of lemma zenon_L392_ *) % 1.12/1.33 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.12/1.33 do 0 intro. intros zenon_H126 zenon_H127 zenon_H4b zenon_H4d zenon_Hf3 zenon_Hed zenon_Hca zenon_Hc3 zenon_H5 zenon_Hc4 zenon_H218 zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H49 zenon_H2c3 zenon_Hec zenon_H122 zenon_Heb zenon_H17 zenon_H3 zenon_H11e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4 zenon_H201. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.33 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.33 apply (zenon_L352_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.33 apply (zenon_L333_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.33 apply (zenon_L160_); trivial. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.33 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.12/1.33 apply (zenon_L44_); trivial. % 1.12/1.33 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.12/1.33 apply (zenon_L71_); trivial. % 1.12/1.33 exact (zenon_Hb6 zenon_Hb7). % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.34 apply (zenon_L46_); trivial. % 1.12/1.34 exact (zenon_H5 zenon_H6). % 1.12/1.34 apply (zenon_L130_); trivial. % 1.12/1.34 apply (zenon_L351_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_L352_); trivial. % 1.12/1.34 apply (zenon_L392_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_L8_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_L334_); trivial. % 1.12/1.34 apply (zenon_L351_); trivial. % 1.12/1.34 (* end of lemma zenon_L393_ *) % 1.12/1.34 assert (zenon_L394_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_H10a zenon_H3 zenon_H15 zenon_H1d zenon_H23e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H197 zenon_Ha5 zenon_H49 zenon_H26d zenon_H26c zenon_H26b zenon_Hca. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.34 apply (zenon_L231_); trivial. % 1.12/1.34 apply (zenon_L366_); trivial. % 1.12/1.34 (* end of lemma zenon_L394_ *) % 1.12/1.34 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_Heb zenon_Hed zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H75 zenon_H71 zenon_H76 zenon_H10c zenon_H10e zenon_Hec zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hc4 zenon_H26d zenon_H26c zenon_H26b zenon_H65 zenon_H2cb zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_L8_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_L75_); trivial. % 1.12/1.34 apply (zenon_L379_); trivial. % 1.12/1.34 (* end of lemma zenon_L395_ *) % 1.12/1.34 assert (zenon_L396_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d4. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.34 apply (zenon_L143_); trivial. % 1.12/1.34 apply (zenon_L366_); trivial. % 1.12/1.34 (* end of lemma zenon_L396_ *) % 1.12/1.34 assert (zenon_L397_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H2de zenon_H14b zenon_H14a zenon_Ha0 zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H7a | zenon_intro zenon_H2df ]. % 1.12/1.34 apply (zenon_L104_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e ]. % 1.12/1.34 apply (zenon_L84_); trivial. % 1.12/1.34 exact (zenon_H1d zenon_H1e). % 1.12/1.34 (* end of lemma zenon_L397_ *) % 1.12/1.34 assert (zenon_L398_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp2)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H152 zenon_H2c3 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1d zenon_H13c zenon_H13d zenon_H13e zenon_H2de zenon_H49. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.12/1.34 apply (zenon_L331_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.12/1.34 apply (zenon_L397_); trivial. % 1.12/1.34 exact (zenon_H49 zenon_H4a). % 1.12/1.34 (* end of lemma zenon_L398_ *) % 1.12/1.34 assert (zenon_L399_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H155 zenon_H2c3 zenon_H49 zenon_H1d zenon_H2de zenon_H2bc zenon_H2bb zenon_H2ba zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.12/1.34 apply (zenon_L86_); trivial. % 1.12/1.34 apply (zenon_L398_); trivial. % 1.12/1.34 (* end of lemma zenon_L399_ *) % 1.12/1.34 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H126 zenon_Hf4 zenon_H2c7 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2de zenon_H49 zenon_H2c3 zenon_H155. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_L399_); trivial. % 1.12/1.34 apply (zenon_L351_); trivial. % 1.12/1.34 (* end of lemma zenon_L400_ *) % 1.12/1.34 assert (zenon_L401_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H12b zenon_Hf4 zenon_H2c7 zenon_H147 zenon_H4b zenon_H2de zenon_H49 zenon_H2c3 zenon_H155 zenon_H1d4 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H5 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.34 apply (zenon_L396_); trivial. % 1.12/1.34 apply (zenon_L400_); trivial. % 1.12/1.34 (* end of lemma zenon_L401_ *) % 1.12/1.34 assert (zenon_L402_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.34 apply (zenon_L159_); trivial. % 1.12/1.34 apply (zenon_L208_); trivial. % 1.12/1.34 (* end of lemma zenon_L402_ *) % 1.12/1.34 assert (zenon_L403_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H90 zenon_Ha zenon_H4f zenon_H50 zenon_H52. % 1.12/1.34 generalize (zenon_H90 (a2194)). zenon_intro zenon_H261. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H51 | zenon_intro zenon_Haa ]. % 1.12/1.34 apply (zenon_L26_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H56 | zenon_intro zenon_H57 ]. % 1.12/1.34 exact (zenon_H56 zenon_H50). % 1.12/1.34 exact (zenon_H57 zenon_H52). % 1.12/1.34 (* end of lemma zenon_L403_ *) % 1.12/1.34 assert (zenon_L404_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H71 zenon_H52 zenon_H50 zenon_Ha zenon_H90 zenon_H5f zenon_H61. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H4f | zenon_intro zenon_H74 ]. % 1.12/1.34 apply (zenon_L403_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H60 | zenon_intro zenon_H62 ]. % 1.12/1.34 exact (zenon_H5f zenon_H60). % 1.12/1.34 exact (zenon_H61 zenon_H62). % 1.12/1.34 (* end of lemma zenon_L404_ *) % 1.12/1.34 assert (zenon_L405_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H71 zenon_H61 zenon_H5f zenon_H52 zenon_H50 zenon_H227 zenon_H226 zenon_H225 zenon_H290. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.12/1.34 apply (zenon_L182_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.12/1.34 apply (zenon_L404_); trivial. % 1.12/1.34 apply (zenon_L367_); trivial. % 1.12/1.34 apply (zenon_L33_); trivial. % 1.12/1.34 (* end of lemma zenon_L405_ *) % 1.12/1.34 assert (zenon_L406_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.34 apply (zenon_L405_); trivial. % 1.12/1.34 apply (zenon_L332_); trivial. % 1.12/1.34 (* end of lemma zenon_L406_ *) % 1.12/1.34 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hf5 zenon_H235 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H290 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.34 apply (zenon_L402_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.34 apply (zenon_L406_); trivial. % 1.12/1.34 apply (zenon_L208_); trivial. % 1.12/1.34 (* end of lemma zenon_L407_ *) % 1.12/1.34 assert (zenon_L408_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> (~(c0_1 (a2186))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H1f7 zenon_H10c zenon_Hf9 zenon_H33 zenon_Hfa zenon_Hfb zenon_H1f8 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.12/1.34 apply (zenon_L60_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.12/1.34 apply (zenon_L317_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.12/1.34 apply (zenon_L261_); trivial. % 1.12/1.34 exact (zenon_H10c zenon_H10d). % 1.12/1.34 apply (zenon_L140_); trivial. % 1.12/1.34 (* end of lemma zenon_L408_ *) % 1.12/1.34 assert (zenon_L409_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H1fd zenon_H235 zenon_H2cb zenon_H1 zenon_H22e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H3e zenon_H1f8 zenon_H10c zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H1f7 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.34 apply (zenon_L159_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.12/1.34 apply (zenon_L182_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.12/1.34 apply (zenon_L408_); trivial. % 1.12/1.34 exact (zenon_H3 zenon_H4). % 1.12/1.34 apply (zenon_L184_); trivial. % 1.12/1.34 apply (zenon_L343_); trivial. % 1.12/1.34 (* end of lemma zenon_L409_ *) % 1.12/1.34 assert (zenon_L410_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H156 zenon_H12b zenon_H2c7 zenon_H11e zenon_H127 zenon_H1c5 zenon_H1c1 zenon_Ha3 zenon_H1b2 zenon_H122 zenon_H17 zenon_Hca zenon_H10a zenon_H3 zenon_H26b zenon_H26c zenon_H26d zenon_H49 zenon_Ha5 zenon_H218 zenon_Hf4 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H209 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H18b zenon_H110 zenon_H155 zenon_Hed zenon_H197 zenon_H23e zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_H75 zenon_H76 zenon_Hec zenon_H2c3 zenon_H290 zenon_H71 zenon_Hf3 zenon_H201 zenon_H3e zenon_H1f8 zenon_H1f7 zenon_H4d zenon_Hac zenon_H204. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.34 apply (zenon_L230_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_L394_); trivial. % 1.12/1.34 apply (zenon_L319_); trivial. % 1.12/1.34 apply (zenon_L407_); trivial. % 1.12/1.34 apply (zenon_L216_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.34 apply (zenon_L230_); trivial. % 1.12/1.34 apply (zenon_L409_); trivial. % 1.12/1.34 apply (zenon_L91_); trivial. % 1.12/1.34 apply (zenon_L355_); trivial. % 1.12/1.34 (* end of lemma zenon_L410_ *) % 1.12/1.34 assert (zenon_L411_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(hskp27)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H26d zenon_H26c zenon_H26b zenon_Ha zenon_H33 zenon_H5f. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.12/1.34 apply (zenon_L80_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.12/1.34 apply (zenon_L236_); trivial. % 1.12/1.34 exact (zenon_H5f zenon_H60). % 1.12/1.34 (* end of lemma zenon_L411_ *) % 1.12/1.34 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H15a zenon_Hec zenon_H2c3 zenon_H49 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H21a zenon_H26d zenon_H26c zenon_H26b zenon_H65 zenon_H2cb. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.12/1.34 apply (zenon_L331_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.12/1.34 apply (zenon_L411_); trivial. % 1.12/1.34 exact (zenon_H65 zenon_H66). % 1.12/1.34 apply (zenon_L332_); trivial. % 1.12/1.34 (* end of lemma zenon_L412_ *) % 1.12/1.34 assert (zenon_L413_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a2268))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2268)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H15f zenon_Ha zenon_H199 zenon_H2e0 zenon_H19b. % 1.12/1.34 generalize (zenon_H15f (a2268)). zenon_intro zenon_H236. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H9 | zenon_intro zenon_H237 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19f | zenon_intro zenon_H238 ]. % 1.12/1.34 exact (zenon_H199 zenon_H19f). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H1a0 ]. % 1.12/1.34 generalize (zenon_H2e0 (a2268)). zenon_intro zenon_H2e1. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H2e1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e2 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H19f | zenon_intro zenon_H23c ]. % 1.12/1.34 exact (zenon_H199 zenon_H19f). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H23d ]. % 1.12/1.34 exact (zenon_H1a0 zenon_H19b). % 1.12/1.34 exact (zenon_H23d zenon_H239). % 1.12/1.34 exact (zenon_H1a0 zenon_H19b). % 1.12/1.34 (* end of lemma zenon_L413_ *) % 1.12/1.34 assert (zenon_L414_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a2268))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H1c6 zenon_Ha zenon_H19a zenon_H78 zenon_H199 zenon_H19b. % 1.12/1.34 generalize (zenon_H1c6 (a2268)). zenon_intro zenon_H2e3. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e4 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H238 ]. % 1.12/1.34 exact (zenon_H19a zenon_H1a1). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H1a0 ]. % 1.12/1.34 generalize (zenon_H78 (a2268)). zenon_intro zenon_H2e5. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H2e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e6 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H19f | zenon_intro zenon_H2e7 ]. % 1.12/1.34 exact (zenon_H199 zenon_H19f). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H23d ]. % 1.12/1.34 exact (zenon_H19a zenon_H1a1). % 1.12/1.34 exact (zenon_H23d zenon_H239). % 1.12/1.34 exact (zenon_H1a0 zenon_H19b). % 1.12/1.34 (* end of lemma zenon_L414_ *) % 1.12/1.34 assert (zenon_L415_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2268))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H1d2 zenon_H2e0 zenon_H19b zenon_H199 zenon_H78 zenon_H19a zenon_Ha zenon_H1d0. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.12/1.34 apply (zenon_L413_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.12/1.34 apply (zenon_L414_); trivial. % 1.12/1.34 exact (zenon_H1d0 zenon_H1d1). % 1.12/1.34 (* end of lemma zenon_L415_ *) % 1.12/1.34 assert (zenon_L416_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp14)) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hc3 zenon_H1d0 zenon_H19a zenon_H199 zenon_H19b zenon_H2e0 zenon_H1d2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.34 apply (zenon_L415_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.34 apply (zenon_L46_); trivial. % 1.12/1.34 exact (zenon_H5 zenon_H6). % 1.12/1.34 (* end of lemma zenon_L416_ *) % 1.12/1.34 assert (zenon_L417_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H2de zenon_H7b zenon_H79 zenon_H78 zenon_H160 zenon_H161 zenon_H171 zenon_H15e zenon_Ha zenon_H1d. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H7a | zenon_intro zenon_H2df ]. % 1.12/1.34 apply (zenon_L35_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e ]. % 1.12/1.34 apply (zenon_L109_); trivial. % 1.12/1.34 exact (zenon_H1d zenon_H1e). % 1.12/1.34 (* end of lemma zenon_L417_ *) % 1.12/1.34 assert (zenon_L418_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp16)) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hc3 zenon_H1d zenon_H15e zenon_H171 zenon_H161 zenon_H160 zenon_H79 zenon_H7b zenon_H2de zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.12/1.34 apply (zenon_L417_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.12/1.34 apply (zenon_L46_); trivial. % 1.12/1.34 exact (zenon_H5 zenon_H6). % 1.12/1.34 (* end of lemma zenon_L418_ *) % 1.12/1.34 assert (zenon_L419_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> False). % 1.12/1.34 do 0 intro. intros zenon_H2e0 zenon_Ha zenon_H79 zenon_Hb1 zenon_H7b. % 1.12/1.34 generalize (zenon_H2e0 (a2262)). zenon_intro zenon_H2e8. % 1.12/1.34 apply (zenon_imply_s _ _ zenon_H2e8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e9 ]. % 1.12/1.34 exact (zenon_H9 zenon_Ha). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H7f | zenon_intro zenon_H107 ]. % 1.12/1.34 exact (zenon_H79 zenon_H7f). % 1.12/1.34 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H80 ]. % 1.12/1.34 exact (zenon_Hb5 zenon_Hb1). % 1.12/1.34 exact (zenon_H80 zenon_H7b). % 1.12/1.34 (* end of lemma zenon_L419_ *) % 1.12/1.34 assert (zenon_L420_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp10)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp16)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hc2 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H5 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H2de zenon_H160 zenon_H161 zenon_H15e zenon_H1d zenon_Hc3. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.12/1.34 apply (zenon_L331_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.12/1.34 apply (zenon_L418_); trivial. % 1.12/1.34 apply (zenon_L419_); trivial. % 1.12/1.34 (* end of lemma zenon_L420_ *) % 1.12/1.34 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_Hed zenon_Hca zenon_H2de zenon_H197 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H18a zenon_H49 zenon_H18b zenon_Hc3 zenon_H5 zenon_H1d0 zenon_H1d2 zenon_H2ea zenon_H1a5 zenon_H15e zenon_H160 zenon_H161 zenon_H3 zenon_H185 zenon_H65 zenon_H2cb zenon_H46. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.34 apply (zenon_L108_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.12/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.12/1.34 apply (zenon_L118_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.12/1.34 apply (zenon_L331_); trivial. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.12/1.34 apply (zenon_L110_); trivial. % 1.12/1.34 apply (zenon_L416_); trivial. % 1.12/1.34 apply (zenon_L420_); trivial. % 1.12/1.34 apply (zenon_L366_); trivial. % 1.12/1.34 apply (zenon_L351_); trivial. % 1.12/1.34 (* end of lemma zenon_L421_ *) % 1.12/1.34 assert (zenon_L422_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H1fd zenon_Hed zenon_Hc3 zenon_H5 zenon_H49 zenon_H18a zenon_H15e zenon_H160 zenon_H161 zenon_H3 zenon_H185. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.12/1.34 apply (zenon_L108_); trivial. % 1.12/1.34 apply (zenon_L370_); trivial. % 1.12/1.34 (* end of lemma zenon_L422_ *) % 1.12/1.34 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_Hed zenon_Hca zenon_H2de zenon_H197 zenon_H18a zenon_H49 zenon_H18b zenon_Hc3 zenon_H5 zenon_H1d2 zenon_H2ea zenon_H1a5 zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_H65 zenon_H2cb zenon_H46 zenon_H17 zenon_H3 zenon_H11e zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4 zenon_H201. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_L352_); trivial. % 1.12/1.34 apply (zenon_L421_); trivial. % 1.12/1.34 apply (zenon_L422_); trivial. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.12/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.12/1.34 apply (zenon_L8_); trivial. % 1.12/1.34 apply (zenon_L421_); trivial. % 1.12/1.34 apply (zenon_L422_); trivial. % 1.12/1.34 (* end of lemma zenon_L423_ *) % 1.12/1.34 assert (zenon_L424_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_Hed zenon_Hca zenon_H2de zenon_H197 zenon_H18a zenon_H49 zenon_H18b zenon_Hc3 zenon_H1d2 zenon_H2ea zenon_H1a5 zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_H17 zenon_H3 zenon_H11e zenon_H2c7 zenon_Hf4 zenon_H201 zenon_H1d4 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H5 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.12/1.34 apply (zenon_L396_); trivial. % 1.12/1.34 apply (zenon_L423_); trivial. % 1.12/1.34 (* end of lemma zenon_L424_ *) % 1.12/1.34 assert (zenon_L425_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.12/1.34 do 0 intro. intros zenon_Hf4 zenon_H235 zenon_H1 zenon_H22e zenon_H217 zenon_H209 zenon_H2a1 zenon_H2c7 zenon_Hed zenon_Hca zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H108 zenon_H197 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H23e zenon_H15 zenon_H3 zenon_H10a zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.12/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.12/1.34 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.12/1.34 apply (zenon_L179_); trivial. % 1.12/1.34 apply (zenon_L366_); trivial. % 1.12/1.34 apply (zenon_L344_); trivial. % 1.12/1.34 (* end of lemma zenon_L425_ *) % 1.12/1.34 assert (zenon_L426_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hf3 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_H10a zenon_H3 zenon_H23e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H197 zenon_H108 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_Hca zenon_Hed zenon_H2c7 zenon_H2a1 zenon_H209 zenon_H217 zenon_H22e zenon_H1 zenon_H235 zenon_Hf4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L425_); trivial. % 1.19/1.34 apply (zenon_L209_); trivial. % 1.19/1.34 (* end of lemma zenon_L426_ *) % 1.19/1.34 assert (zenon_L427_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H156 zenon_H127 zenon_H17 zenon_Hf4 zenon_H235 zenon_H22e zenon_H217 zenon_H209 zenon_H2a1 zenon_H2c7 zenon_Hed zenon_Hca zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H108 zenon_H197 zenon_H23e zenon_H3 zenon_H10a zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_H76 zenon_H71 zenon_H75 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_Hf3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.19/1.34 apply (zenon_L426_); trivial. % 1.19/1.34 apply (zenon_L220_); trivial. % 1.19/1.34 (* end of lemma zenon_L427_ *) % 1.19/1.34 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp8)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hc2 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H21 zenon_H15e zenon_H161 zenon_H160 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H29f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.19/1.34 apply (zenon_L294_); trivial. % 1.19/1.34 apply (zenon_L419_); trivial. % 1.19/1.34 (* end of lemma zenon_L428_ *) % 1.19/1.34 assert (zenon_L429_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H156 zenon_Hca zenon_H2ea zenon_H15e zenon_H161 zenon_H160 zenon_H21 zenon_H29f zenon_H2bc zenon_H2bb zenon_H2ba zenon_H49 zenon_H4b zenon_H4d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L25_); trivial. % 1.19/1.34 apply (zenon_L428_); trivial. % 1.19/1.34 (* end of lemma zenon_L429_ *) % 1.19/1.34 assert (zenon_L430_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (c3_1 (a2180)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hec zenon_H2c3 zenon_H49 zenon_H280 zenon_H27f zenon_H281 zenon_H65 zenon_H76 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.19/1.34 apply (zenon_L244_); trivial. % 1.19/1.34 exact (zenon_H49 zenon_H4a). % 1.19/1.34 apply (zenon_L33_); trivial. % 1.19/1.34 apply (zenon_L332_); trivial. % 1.19/1.34 (* end of lemma zenon_L430_ *) % 1.19/1.34 assert (zenon_L431_ : ((ndr1_0)/\((c0_1 (a2180))/\((c3_1 (a2180))/\(~(c1_1 (a2180)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H2ec zenon_Hed zenon_H18a zenon_H75 zenon_H71 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H76 zenon_H65 zenon_H49 zenon_H2c3 zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L430_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.19/1.34 apply (zenon_L257_); trivial. % 1.19/1.34 exact (zenon_H49 zenon_H4a). % 1.19/1.34 (* end of lemma zenon_L431_ *) % 1.19/1.34 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hf0 zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H296 zenon_H297 zenon_H298. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.19/1.34 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.19/1.34 apply (zenon_L225_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.19/1.34 apply (zenon_L49_); trivial. % 1.19/1.34 apply (zenon_L289_); trivial. % 1.19/1.34 (* end of lemma zenon_L432_ *) % 1.19/1.34 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H126 zenon_H127 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_Heb zenon_H122 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hc4 zenon_H11e zenon_H26d zenon_H26c zenon_H26b zenon_H65 zenon_H2cb zenon_H2c7 zenon_Hf4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.19/1.34 apply (zenon_L236_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.19/1.34 apply (zenon_L71_); trivial. % 1.19/1.34 exact (zenon_Hb6 zenon_Hb7). % 1.19/1.34 exact (zenon_H65 zenon_H66). % 1.19/1.34 apply (zenon_L130_); trivial. % 1.19/1.34 apply (zenon_L351_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.19/1.34 apply (zenon_L377_); trivial. % 1.19/1.34 apply (zenon_L432_); trivial. % 1.19/1.34 (* end of lemma zenon_L433_ *) % 1.19/1.34 assert (zenon_L434_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H12b zenon_H127 zenon_He0 zenon_Heb zenon_H122 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hc4 zenon_H11e zenon_H26d zenon_H26c zenon_H26b zenon_H65 zenon_H2cb zenon_H2c7 zenon_Hf4 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.19/1.34 apply (zenon_L290_); trivial. % 1.19/1.34 apply (zenon_L433_); trivial. % 1.19/1.34 (* end of lemma zenon_L434_ *) % 1.19/1.34 assert (zenon_L435_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hc9 zenon_H122 zenon_H1d zenon_H13c zenon_H13d zenon_H13e zenon_H50 zenon_H52 zenon_H5a zenon_H18b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.19/1.34 apply (zenon_L232_); trivial. % 1.19/1.34 exact (zenon_H1d zenon_H1e). % 1.19/1.34 (* end of lemma zenon_L435_ *) % 1.19/1.34 assert (zenon_L436_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hed zenon_H122 zenon_H1d zenon_H13c zenon_H13d zenon_H13e zenon_H50 zenon_H52 zenon_H5a zenon_H18b zenon_Ha zenon_H15e zenon_H160 zenon_H161 zenon_H3 zenon_H185. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L108_); trivial. % 1.19/1.34 apply (zenon_L435_); trivial. % 1.19/1.34 (* end of lemma zenon_L436_ *) % 1.19/1.34 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H185 zenon_H3 zenon_H161 zenon_H160 zenon_H15e zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H122 zenon_Hed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L436_); trivial. % 1.19/1.34 apply (zenon_L351_); trivial. % 1.19/1.34 (* end of lemma zenon_L437_ *) % 1.19/1.34 assert (zenon_L438_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H11e zenon_H3 zenon_H17 zenon_Hed zenon_H122 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H15e zenon_H160 zenon_H161 zenon_H185 zenon_Hf3 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.19/1.34 apply (zenon_L290_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L352_); trivial. % 1.19/1.34 apply (zenon_L437_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L437_); trivial. % 1.19/1.34 (* end of lemma zenon_L438_ *) % 1.19/1.34 assert (zenon_L439_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H12b zenon_Hf4 zenon_H2c7 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2de zenon_H49 zenon_H2c3 zenon_H155 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.19/1.34 apply (zenon_L290_); trivial. % 1.19/1.34 apply (zenon_L400_); trivial. % 1.19/1.34 (* end of lemma zenon_L439_ *) % 1.19/1.34 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a2184))/\((c1_1 (a2184))/\(~(c3_1 (a2184)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H2ef zenon_H15d zenon_Hec zenon_H21a zenon_H65 zenon_H2cb zenon_H12b zenon_Hf4 zenon_H2c7 zenon_H147 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2de zenon_H49 zenon_H2c3 zenon_H155 zenon_H296 zenon_H297 zenon_H298 zenon_H16d zenon_H201 zenon_H3e zenon_H110 zenon_He0 zenon_H218 zenon_Ha5 zenon_H26d zenon_H26c zenon_H26b zenon_H3 zenon_H10a zenon_Hca zenon_H17 zenon_Hf3 zenon_H127 zenon_H159. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.19/1.34 apply (zenon_L439_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.19/1.34 apply (zenon_L230_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L399_); trivial. % 1.19/1.34 apply (zenon_L328_); trivial. % 1.19/1.34 apply (zenon_L308_); trivial. % 1.19/1.34 apply (zenon_L412_); trivial. % 1.19/1.34 (* end of lemma zenon_L440_ *) % 1.19/1.34 assert (zenon_L441_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H15f zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4. % 1.19/1.34 generalize (zenon_H15f (a2176)). zenon_intro zenon_H2f5. % 1.19/1.34 apply (zenon_imply_s _ _ zenon_H2f5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2f6 ]. % 1.19/1.34 exact (zenon_H9 zenon_Ha). % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ]. % 1.19/1.34 exact (zenon_H2f2 zenon_H2f8). % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2f9 ]. % 1.19/1.34 exact (zenon_H2f3 zenon_H2fa). % 1.19/1.34 exact (zenon_H2f9 zenon_H2f4). % 1.19/1.34 (* end of lemma zenon_L441_ *) % 1.19/1.34 assert (zenon_L442_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp17)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H145 zenon_H19. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H15f | zenon_intro zenon_H170 ]. % 1.19/1.34 apply (zenon_L441_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H146 | zenon_intro zenon_H1a ]. % 1.19/1.34 exact (zenon_H145 zenon_H146). % 1.19/1.34 exact (zenon_H19 zenon_H1a). % 1.19/1.34 (* end of lemma zenon_L442_ *) % 1.19/1.34 assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H214 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H71 zenon_H61 zenon_H2cf zenon_H155. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.34 apply (zenon_L442_); trivial. % 1.19/1.34 apply (zenon_L385_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 (* end of lemma zenon_L443_ *) % 1.19/1.34 assert (zenon_L444_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H217 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H71 zenon_H2cf zenon_H155 zenon_H205 zenon_H61 zenon_H209. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.19/1.34 apply (zenon_L156_); trivial. % 1.19/1.34 apply (zenon_L443_); trivial. % 1.19/1.34 (* end of lemma zenon_L444_ *) % 1.19/1.34 assert (zenon_L445_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp4)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H152 zenon_H276 zenon_H5 zenon_H10c zenon_Hba zenon_Hb9 zenon_Hbb zenon_H16d zenon_H23. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H277 ]. % 1.19/1.34 apply (zenon_L361_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H91 | zenon_intro zenon_H24 ]. % 1.19/1.34 apply (zenon_L87_); trivial. % 1.19/1.34 exact (zenon_H23 zenon_H24). % 1.19/1.34 (* end of lemma zenon_L445_ *) % 1.19/1.34 assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H276 zenon_H23 zenon_H10c zenon_H5 zenon_H16d zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.34 apply (zenon_L442_); trivial. % 1.19/1.34 apply (zenon_L445_); trivial. % 1.19/1.34 (* end of lemma zenon_L446_ *) % 1.19/1.34 assert (zenon_L447_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp1)) -> (~(hskp30)) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp14)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H65 zenon_H63 zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H76 zenon_H1d0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.19/1.34 apply (zenon_L441_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.19/1.34 apply (zenon_L367_); trivial. % 1.19/1.34 exact (zenon_H1d0 zenon_H1d1). % 1.19/1.34 (* end of lemma zenon_L447_ *) % 1.19/1.34 assert (zenon_L448_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H1d0 zenon_H1d2. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.34 apply (zenon_L447_); trivial. % 1.19/1.34 apply (zenon_L33_); trivial. % 1.19/1.34 (* end of lemma zenon_L448_ *) % 1.19/1.34 assert (zenon_L449_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hec zenon_H10e zenon_H10c zenon_H1d2 zenon_H1d0 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.34 apply (zenon_L448_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 (* end of lemma zenon_L449_ *) % 1.19/1.34 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H232 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H19 zenon_H16f zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H10c zenon_H10e zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L449_); trivial. % 1.19/1.34 apply (zenon_L446_); trivial. % 1.19/1.34 (* end of lemma zenon_L450_ *) % 1.19/1.34 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H214 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.34 apply (zenon_L442_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 (* end of lemma zenon_L451_ *) % 1.19/1.34 assert (zenon_L452_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H205 zenon_H61 zenon_H209. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.19/1.34 apply (zenon_L156_); trivial. % 1.19/1.34 apply (zenon_L451_); trivial. % 1.19/1.34 (* end of lemma zenon_L452_ *) % 1.19/1.34 assert (zenon_L453_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L452_); trivial. % 1.19/1.34 apply (zenon_L446_); trivial. % 1.19/1.34 (* end of lemma zenon_L453_ *) % 1.19/1.34 assert (zenon_L454_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H22e zenon_H19b zenon_H199 zenon_H19a zenon_H1c6 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.19/1.34 apply (zenon_L414_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.19/1.34 apply (zenon_L165_); trivial. % 1.19/1.34 exact (zenon_H1 zenon_H2). % 1.19/1.34 (* end of lemma zenon_L454_ *) % 1.19/1.34 assert (zenon_L455_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> (~(hskp30)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H290 zenon_H65 zenon_H63 zenon_H76 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H22e zenon_H19b zenon_H199 zenon_H19a zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.34 apply (zenon_L182_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.34 apply (zenon_L372_); trivial. % 1.19/1.34 apply (zenon_L454_); trivial. % 1.19/1.34 (* end of lemma zenon_L455_ *) % 1.19/1.34 assert (zenon_L456_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H19b zenon_H199 zenon_H19a zenon_H290. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.34 apply (zenon_L455_); trivial. % 1.19/1.34 apply (zenon_L33_); trivial. % 1.19/1.34 (* end of lemma zenon_L456_ *) % 1.19/1.34 assert (zenon_L457_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(hskp15)) -> (~(hskp3)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H2fb zenon_H7b zenon_Hb1 zenon_H79 zenon_Ha zenon_H78 zenon_H15 zenon_H1b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2fc ]. % 1.19/1.34 apply (zenon_L44_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H16 | zenon_intro zenon_H1c ]. % 1.19/1.34 exact (zenon_H15 zenon_H16). % 1.19/1.34 exact (zenon_H1b zenon_H1c). % 1.19/1.34 (* end of lemma zenon_L457_ *) % 1.19/1.34 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hc2 zenon_H22e zenon_H1b zenon_H15 zenon_H2fb zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.19/1.34 apply (zenon_L457_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.19/1.34 apply (zenon_L165_); trivial. % 1.19/1.34 exact (zenon_H1 zenon_H2). % 1.19/1.34 (* end of lemma zenon_L458_ *) % 1.19/1.34 assert (zenon_L459_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hca zenon_H15 zenon_H1b zenon_H2fb zenon_H197 zenon_H19 zenon_H75 zenon_H71 zenon_H61 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H290 zenon_H10c zenon_H10e zenon_Hec zenon_H1a5. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.34 apply (zenon_L118_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.34 apply (zenon_L456_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 apply (zenon_L458_); trivial. % 1.19/1.34 (* end of lemma zenon_L459_ *) % 1.19/1.34 assert (zenon_L460_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (ndr1_0) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c2_1 (a2248))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H75 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H71 zenon_H61 zenon_H5f zenon_H52 zenon_H50 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H290. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.34 apply (zenon_L17_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.34 apply (zenon_L404_); trivial. % 1.19/1.34 apply (zenon_L367_); trivial. % 1.19/1.34 apply (zenon_L33_); trivial. % 1.19/1.34 (* end of lemma zenon_L460_ *) % 1.19/1.34 assert (zenon_L461_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H3d zenon_Hec zenon_H10e zenon_H10c zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H75. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.34 apply (zenon_L460_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 (* end of lemma zenon_L461_ *) % 1.19/1.34 assert (zenon_L462_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H43 zenon_Hec zenon_H10e zenon_H10c zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H75 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.34 apply (zenon_L16_); trivial. % 1.19/1.34 apply (zenon_L461_); trivial. % 1.19/1.34 (* end of lemma zenon_L462_ *) % 1.19/1.34 assert (zenon_L463_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H235 zenon_H27 zenon_H21 zenon_H75 zenon_H71 zenon_H52 zenon_H50 zenon_H76 zenon_H65 zenon_H290 zenon_H10e zenon_Hec zenon_H43 zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.34 apply (zenon_L453_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L462_); trivial. % 1.19/1.34 apply (zenon_L446_); trivial. % 1.19/1.34 (* end of lemma zenon_L463_ *) % 1.19/1.34 assert (zenon_L464_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H235 zenon_H1a5 zenon_Hec zenon_H10e zenon_H290 zenon_H1 zenon_H22e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H197 zenon_H2fb zenon_H1b zenon_Hca zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed zenon_H27 zenon_H21 zenon_H3e zenon_H43 zenon_H46. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.35 apply (zenon_L453_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L459_); trivial. % 1.19/1.35 apply (zenon_L446_); trivial. % 1.19/1.35 apply (zenon_L20_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_L463_); trivial. % 1.19/1.35 apply (zenon_L20_); trivial. % 1.19/1.35 (* end of lemma zenon_L464_ *) % 1.19/1.35 assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H152 zenon_Hac zenon_H5 zenon_H19 zenon_H20b zenon_H20d zenon_H20c zenon_H1d4 zenon_H52 zenon_H50 zenon_H5a. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L383_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L87_); trivial. % 1.19/1.35 (* end of lemma zenon_L465_ *) % 1.19/1.35 assert (zenon_L466_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H214 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_L465_); trivial. % 1.19/1.35 (* end of lemma zenon_L466_ *) % 1.19/1.35 assert (zenon_L467_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H217 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H205 zenon_H61 zenon_H209. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.19/1.35 apply (zenon_L156_); trivial. % 1.19/1.35 apply (zenon_L466_); trivial. % 1.19/1.35 (* end of lemma zenon_L467_ *) % 1.19/1.35 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H27 zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_Hac zenon_H155 zenon_H217 zenon_Hec zenon_H10e zenon_H1d2 zenon_H1d0 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H235. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L467_); trivial. % 1.19/1.35 apply (zenon_L446_); trivial. % 1.19/1.35 apply (zenon_L450_); trivial. % 1.19/1.35 apply (zenon_L20_); trivial. % 1.19/1.35 (* end of lemma zenon_L468_ *) % 1.19/1.35 assert (zenon_L469_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hf3 zenon_H46 zenon_H43 zenon_H3e zenon_H21 zenon_H27 zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_Hac zenon_H155 zenon_H217 zenon_Hec zenon_H10e zenon_H1d2 zenon_H1d0 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H235 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.35 apply (zenon_L8_); trivial. % 1.19/1.35 apply (zenon_L468_); trivial. % 1.19/1.35 (* end of lemma zenon_L469_ *) % 1.19/1.35 assert (zenon_L470_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2193))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> (c0_1 (a2208)) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H78 zenon_H1d6 zenon_H1c1 zenon_H68 zenon_H69 zenon_H67 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.19/1.35 apply (zenon_L36_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.19/1.35 apply (zenon_L144_); trivial. % 1.19/1.35 apply (zenon_L212_); trivial. % 1.19/1.35 (* end of lemma zenon_L470_ *) % 1.19/1.35 assert (zenon_L471_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c1_1 (a2208)) -> (c3_1 (a2208)) -> (c0_1 (a2208)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a6 zenon_Ha zenon_H91 zenon_H68 zenon_H69 zenon_H67. % 1.19/1.35 generalize (zenon_H1a6 (a2208)). zenon_intro zenon_H263. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 1.19/1.35 generalize (zenon_H91 (a2208)). zenon_intro zenon_H2fd. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H2fd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2fe ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H6f | zenon_intro zenon_H269 ]. % 1.19/1.35 exact (zenon_H6f zenon_H68). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26a | zenon_intro zenon_H6e ]. % 1.19/1.35 exact (zenon_H26a zenon_H266). % 1.19/1.35 exact (zenon_H6e zenon_H69). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 1.19/1.35 exact (zenon_H6d zenon_H67). % 1.19/1.35 exact (zenon_H6f zenon_H68). % 1.19/1.35 (* end of lemma zenon_L471_ *) % 1.19/1.35 assert (zenon_L472_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c0_1 (a2208)) -> (c3_1 (a2208)) -> (c1_1 (a2208)) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1c1 zenon_H67 zenon_H69 zenon_H68 zenon_H91 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.19/1.35 apply (zenon_L471_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.19/1.35 apply (zenon_L134_); trivial. % 1.19/1.35 exact (zenon_H1be zenon_H1bf). % 1.19/1.35 (* end of lemma zenon_L472_ *) % 1.19/1.35 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (~(hskp12)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H70 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H1c1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L470_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L472_); trivial. % 1.19/1.35 (* end of lemma zenon_L473_ *) % 1.19/1.35 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.35 apply (zenon_L183_); trivial. % 1.19/1.35 apply (zenon_L473_); trivial. % 1.19/1.35 (* end of lemma zenon_L474_ *) % 1.19/1.35 assert (zenon_L475_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H42 zenon_H1c5 zenon_H75 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d8 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.35 apply (zenon_L133_); trivial. % 1.19/1.35 apply (zenon_L474_); trivial. % 1.19/1.35 (* end of lemma zenon_L475_ *) % 1.19/1.35 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H123 zenon_H201 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H1b2 zenon_H10a zenon_H290 zenon_H1f zenon_H1b zenon_H17 zenon_H3 zenon_H235 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d2 zenon_H10e zenon_Hec zenon_H217 zenon_H155 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed zenon_H27 zenon_H21 zenon_H3e zenon_H43 zenon_H46 zenon_Hf3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.19/1.35 apply (zenon_L469_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.35 apply (zenon_L8_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.35 apply (zenon_L21_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_L463_); trivial. % 1.19/1.35 apply (zenon_L475_); trivial. % 1.19/1.35 (* end of lemma zenon_L476_ *) % 1.19/1.35 assert (zenon_L477_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H1d0. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.19/1.35 apply (zenon_L140_); trivial. % 1.19/1.35 exact (zenon_H1d0 zenon_H1d1). % 1.19/1.35 (* end of lemma zenon_L477_ *) % 1.19/1.35 assert (zenon_L478_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H90 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.19/1.35 apply (zenon_L144_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.19/1.35 apply (zenon_L46_); trivial. % 1.19/1.35 exact (zenon_H5 zenon_H6). % 1.19/1.35 (* end of lemma zenon_L478_ *) % 1.19/1.35 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_H290 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H5 zenon_Hc3 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.35 apply (zenon_L16_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.35 apply (zenon_L17_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.35 apply (zenon_L478_); trivial. % 1.19/1.35 apply (zenon_L140_); trivial. % 1.19/1.35 (* end of lemma zenon_L479_ *) % 1.19/1.35 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H232 zenon_Hed zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H5 zenon_Hc3 zenon_H27 zenon_H23 zenon_H21 zenon_H75 zenon_H71 zenon_H22e zenon_H1 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H76 zenon_H65 zenon_H290 zenon_H10c zenon_H10e zenon_Hec zenon_H43. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L375_); trivial. % 1.19/1.35 apply (zenon_L479_); trivial. % 1.19/1.35 (* end of lemma zenon_L480_ *) % 1.19/1.35 assert (zenon_L481_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc3 zenon_H35 zenon_H36 zenon_H34 zenon_Hf8 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.19/1.35 apply (zenon_L147_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.19/1.35 apply (zenon_L46_); trivial. % 1.19/1.35 exact (zenon_H5 zenon_H6). % 1.19/1.35 (* end of lemma zenon_L481_ *) % 1.19/1.35 assert (zenon_L482_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc9 zenon_H1f7 zenon_H5 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H34 zenon_H36 zenon_H35 zenon_Hc3 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.19/1.35 apply (zenon_L481_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_L140_); trivial. % 1.19/1.35 (* end of lemma zenon_L482_ *) % 1.19/1.35 assert (zenon_L483_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H42 zenon_Hed zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_Hec. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L203_); trivial. % 1.19/1.35 apply (zenon_L482_); trivial. % 1.19/1.35 (* end of lemma zenon_L483_ *) % 1.19/1.35 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Hc3 zenon_Ha3 zenon_Hed zenon_H276 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H10a zenon_H155 zenon_H217 zenon_Hec zenon_H10e zenon_H290 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H235 zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.35 apply (zenon_L21_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_L463_); trivial. % 1.19/1.35 apply (zenon_L483_); trivial. % 1.19/1.35 (* end of lemma zenon_L484_ *) % 1.19/1.35 assert (zenon_L485_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H200 zenon_H127 zenon_Hf3 zenon_H17 zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H1b zenon_H1f zenon_H235 zenon_Hc3 zenon_H75 zenon_H71 zenon_H22e zenon_H76 zenon_H65 zenon_H290 zenon_H10e zenon_Hec zenon_H217 zenon_H155 zenon_H10a zenon_H1d4 zenon_H5 zenon_Hac zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H276 zenon_Hed zenon_Ha3 zenon_H1f7 zenon_Hf4 zenon_H201. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.19/1.35 apply (zenon_L477_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.35 apply (zenon_L21_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.35 apply (zenon_L453_); trivial. % 1.19/1.35 apply (zenon_L480_); trivial. % 1.19/1.35 apply (zenon_L483_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.19/1.35 apply (zenon_L477_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.19/1.35 apply (zenon_L8_); trivial. % 1.19/1.35 apply (zenon_L484_); trivial. % 1.19/1.35 (* end of lemma zenon_L485_ *) % 1.19/1.35 assert (zenon_L486_ : ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a2187)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H17 zenon_H113 zenon_H90 zenon_H112 zenon_Ha zenon_H15 zenon_H3. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 1.19/1.35 apply (zenon_L70_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H4 ]. % 1.19/1.35 exact (zenon_H15 zenon_H16). % 1.19/1.35 exact (zenon_H3 zenon_H4). % 1.19/1.35 (* end of lemma zenon_L486_ *) % 1.19/1.35 assert (zenon_L487_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_Hb0 zenon_H149 zenon_H14a zenon_H14b. % 1.19/1.35 generalize (zenon_Ha0 (a2196)). zenon_intro zenon_H179. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H9 | zenon_intro zenon_H17a ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17b | zenon_intro zenon_H14e ]. % 1.19/1.35 generalize (zenon_Hb0 (a2196)). zenon_intro zenon_H2ab. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ac ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H17e | zenon_intro zenon_H2ad ]. % 1.19/1.35 exact (zenon_H17b zenon_H17e). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H14f | zenon_intro zenon_H151 ]. % 1.19/1.35 exact (zenon_H14f zenon_H149). % 1.19/1.35 exact (zenon_H151 zenon_H14a). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.19/1.35 exact (zenon_H151 zenon_H14a). % 1.19/1.35 exact (zenon_H150 zenon_H14b). % 1.19/1.35 (* end of lemma zenon_L487_ *) % 1.19/1.35 assert (zenon_L488_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp0)) -> (~(hskp15)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H3 zenon_H15 zenon_H112 zenon_H113 zenon_H17 zenon_Ha zenon_Hb0 zenon_H149 zenon_H14a zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.19/1.35 apply (zenon_L36_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.19/1.35 apply (zenon_L486_); trivial. % 1.19/1.35 apply (zenon_L487_); trivial. % 1.19/1.35 (* end of lemma zenon_L488_ *) % 1.19/1.35 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H152 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H17 zenon_H113 zenon_H112 zenon_H15 zenon_H3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L488_); trivial. % 1.19/1.35 apply (zenon_L486_); trivial. % 1.19/1.35 (* end of lemma zenon_L489_ *) % 1.19/1.35 assert (zenon_L490_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H155 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H17 zenon_H3 zenon_H15 zenon_H113 zenon_H112 zenon_Ha3 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_L489_); trivial. % 1.19/1.35 (* end of lemma zenon_L490_ *) % 1.19/1.35 assert (zenon_L491_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp15)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hf4 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H112 zenon_H113 zenon_H15 zenon_H17 zenon_H2ff zenon_H155 zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.19/1.35 apply (zenon_L21_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.35 apply (zenon_L490_); trivial. % 1.19/1.35 apply (zenon_L20_); trivial. % 1.19/1.35 (* end of lemma zenon_L491_ *) % 1.19/1.35 assert (zenon_L492_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2268))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H19b zenon_H199 zenon_H78 zenon_H19a zenon_Ha zenon_H1d0. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.19/1.35 apply (zenon_L414_); trivial. % 1.19/1.35 exact (zenon_H1d0 zenon_H1d1). % 1.19/1.35 (* end of lemma zenon_L492_ *) % 1.19/1.35 assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a2 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L492_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L87_); trivial. % 1.19/1.35 (* end of lemma zenon_L493_ *) % 1.19/1.35 assert (zenon_L494_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H47 zenon_H19 zenon_H197. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.35 apply (zenon_L118_); trivial. % 1.19/1.35 apply (zenon_L493_); trivial. % 1.19/1.35 (* end of lemma zenon_L494_ *) % 1.19/1.35 assert (zenon_L495_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2187)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc4 zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_H113 zenon_H90 zenon_H112 zenon_Ha zenon_Hb6. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.19/1.35 apply (zenon_L44_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.19/1.35 apply (zenon_L70_); trivial. % 1.19/1.35 exact (zenon_Hb6 zenon_Hb7). % 1.19/1.35 (* end of lemma zenon_L495_ *) % 1.19/1.35 assert (zenon_L496_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc4 zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_H113 zenon_H112 zenon_Ha zenon_Hb6. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L44_); trivial. % 1.19/1.35 apply (zenon_L495_); trivial. % 1.19/1.35 (* end of lemma zenon_L496_ *) % 1.19/1.35 assert (zenon_L497_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp18)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H152 zenon_Hac zenon_Hb6 zenon_H112 zenon_H113 zenon_H79 zenon_Hb1 zenon_H7b zenon_Hc4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H52 zenon_H50 zenon_H5a. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L496_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L87_); trivial. % 1.19/1.35 (* end of lemma zenon_L497_ *) % 1.19/1.35 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_L497_); trivial. % 1.19/1.35 (* end of lemma zenon_L498_ *) % 1.19/1.35 assert (zenon_L499_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L494_); trivial. % 1.19/1.35 apply (zenon_L498_); trivial. % 1.19/1.35 (* end of lemma zenon_L499_ *) % 1.19/1.35 assert (zenon_L500_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L494_); trivial. % 1.19/1.35 apply (zenon_L56_); trivial. % 1.19/1.35 (* end of lemma zenon_L500_ *) % 1.19/1.35 assert (zenon_L501_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hed zenon_Hca zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H1d2 zenon_H1d0 zenon_H1a5 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L467_); trivial. % 1.19/1.35 apply (zenon_L500_); trivial. % 1.19/1.35 (* end of lemma zenon_L501_ *) % 1.19/1.35 assert (zenon_L502_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_H71 zenon_H52 zenon_H50 zenon_Ha zenon_H5f zenon_H61. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L44_); trivial. % 1.19/1.35 apply (zenon_L404_); trivial. % 1.19/1.35 (* end of lemma zenon_L502_ *) % 1.19/1.35 assert (zenon_L503_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp22)) -> (~(hskp27)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H22e zenon_H61 zenon_H5f zenon_H50 zenon_H52 zenon_H71 zenon_H79 zenon_Hb1 zenon_H7b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.19/1.35 apply (zenon_L502_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.19/1.35 apply (zenon_L165_); trivial. % 1.19/1.35 exact (zenon_H1 zenon_H2). % 1.19/1.35 (* end of lemma zenon_L503_ *) % 1.19/1.35 assert (zenon_L504_ : (~(hskp19)) -> (hskp19) -> False). % 1.19/1.35 do 0 intro. intros zenon_H301 zenon_H302. % 1.19/1.35 exact (zenon_H301 zenon_H302). % 1.19/1.35 (* end of lemma zenon_L504_ *) % 1.19/1.35 assert (zenon_L505_ : ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(hskp13)) -> (~(hskp19)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H303 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H90 zenon_H1 zenon_H301. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H91 | zenon_intro zenon_H304 ]. % 1.19/1.35 apply (zenon_L37_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H2 | zenon_intro zenon_H302 ]. % 1.19/1.35 exact (zenon_H1 zenon_H2). % 1.19/1.35 exact (zenon_H301 zenon_H302). % 1.19/1.35 (* end of lemma zenon_L505_ *) % 1.19/1.35 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hab zenon_H22e zenon_H301 zenon_H303 zenon_H79 zenon_Hb1 zenon_H7b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L44_); trivial. % 1.19/1.35 apply (zenon_L505_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.19/1.35 apply (zenon_L165_); trivial. % 1.19/1.35 exact (zenon_H1 zenon_H2). % 1.19/1.35 (* end of lemma zenon_L506_ *) % 1.19/1.35 assert (zenon_L507_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H303 zenon_H301 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H225 zenon_H226 zenon_H227 zenon_H1 zenon_H22e. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.35 apply (zenon_L503_); trivial. % 1.19/1.35 apply (zenon_L506_); trivial. % 1.19/1.35 (* end of lemma zenon_L507_ *) % 1.19/1.35 assert (zenon_L508_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hca zenon_Hec zenon_H303 zenon_H301 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H225 zenon_H226 zenon_H227 zenon_H22e zenon_H1 zenon_H1d0 zenon_H218. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L160_); trivial. % 1.19/1.35 apply (zenon_L507_); trivial. % 1.19/1.35 (* end of lemma zenon_L508_ *) % 1.19/1.35 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H232 zenon_Hed zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H16f zenon_H1d2 zenon_H5a zenon_Hac zenon_H155 zenon_H1a5 zenon_H218 zenon_H1d0 zenon_H1 zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H301 zenon_H303 zenon_Hec zenon_Hca. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L508_); trivial. % 1.19/1.35 apply (zenon_L500_); trivial. % 1.19/1.35 (* end of lemma zenon_L509_ *) % 1.19/1.35 assert (zenon_L510_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H155 zenon_Hac zenon_H5a zenon_H79 zenon_Hb1 zenon_H7b zenon_H71 zenon_H61 zenon_H5f zenon_H52 zenon_H50 zenon_H2ff zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L502_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L87_); trivial. % 1.19/1.35 (* end of lemma zenon_L510_ *) % 1.19/1.35 assert (zenon_L511_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36))))) -> (ndr1_0) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1eb zenon_Ha zenon_H305 zenon_H306 zenon_H307. % 1.19/1.35 generalize (zenon_H1eb (a2211)). zenon_intro zenon_H308. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H308); [ zenon_intro zenon_H9 | zenon_intro zenon_H309 ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30b | zenon_intro zenon_H30a ]. % 1.19/1.35 exact (zenon_H305 zenon_H30b). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H30d | zenon_intro zenon_H30c ]. % 1.19/1.35 exact (zenon_H306 zenon_H30d). % 1.19/1.35 exact (zenon_H307 zenon_H30c). % 1.19/1.35 (* end of lemma zenon_L511_ *) % 1.19/1.35 assert (zenon_L512_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (c0_1 (a2178)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H30e zenon_H307 zenon_H306 zenon_H305 zenon_H93 zenon_H92 zenon_H94 zenon_Ha zenon_H1b0. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H30f ]. % 1.19/1.35 apply (zenon_L511_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1b1 ]. % 1.19/1.35 apply (zenon_L38_); trivial. % 1.19/1.35 exact (zenon_H1b0 zenon_H1b1). % 1.19/1.35 (* end of lemma zenon_L512_ *) % 1.19/1.35 assert (zenon_L513_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> False). % 1.19/1.35 do 0 intro. intros zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H90 zenon_H112 zenon_H113 zenon_H12a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.19/1.35 apply (zenon_L35_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.19/1.35 apply (zenon_L186_); trivial. % 1.19/1.35 generalize (zenon_Hdc (a2187)). zenon_intro zenon_H310. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H310); [ zenon_intro zenon_H9 | zenon_intro zenon_H311 ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H114 | zenon_intro zenon_H191 ]. % 1.19/1.35 apply (zenon_L69_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H11a | zenon_intro zenon_H192 ]. % 1.19/1.35 exact (zenon_H11a zenon_H113). % 1.19/1.35 exact (zenon_H192 zenon_H12a). % 1.19/1.35 (* end of lemma zenon_L513_ *) % 1.19/1.35 assert (zenon_L514_ : (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hb8 zenon_Ha zenon_H112 zenon_H90 zenon_H113 zenon_H12a. % 1.19/1.35 generalize (zenon_Hb8 (a2187)). zenon_intro zenon_H312. % 1.19/1.35 apply (zenon_imply_s _ _ zenon_H312); [ zenon_intro zenon_H9 | zenon_intro zenon_H313 ]. % 1.19/1.35 exact (zenon_H9 zenon_Ha). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H118 | zenon_intro zenon_H314 ]. % 1.19/1.35 exact (zenon_H112 zenon_H118). % 1.19/1.35 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H114 | zenon_intro zenon_H192 ]. % 1.19/1.35 apply (zenon_L69_); trivial. % 1.19/1.35 exact (zenon_H192 zenon_H12a). % 1.19/1.35 (* end of lemma zenon_L514_ *) % 1.19/1.35 assert (zenon_L515_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c1_1 (a2262)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c0_1 (a2208)) -> (c3_1 (a2208)) -> (c1_1 (a2208)) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hac zenon_H12a zenon_H113 zenon_H112 zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_Hb1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H52 zenon_H50 zenon_H5a zenon_H1c1 zenon_H67 zenon_H69 zenon_H68 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L44_); trivial. % 1.19/1.35 apply (zenon_L513_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L472_); trivial. % 1.19/1.35 (* end of lemma zenon_L515_ *) % 1.19/1.35 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2262)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_H290 zenon_H2ff zenon_Hb1 zenon_H5a zenon_H50 zenon_H52 zenon_H1c1 zenon_H1be zenon_Hac zenon_H79 zenon_H7b zenon_H112 zenon_H113 zenon_H12a zenon_He0 zenon_H5 zenon_Hc3 zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H1d0 zenon_H1d2. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.35 apply (zenon_L447_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.35 apply (zenon_L17_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.19/1.35 apply (zenon_L513_); trivial. % 1.19/1.35 exact (zenon_H1d0 zenon_H1d1). % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.19/1.35 apply (zenon_L514_); trivial. % 1.19/1.35 exact (zenon_H5 zenon_H6). % 1.19/1.35 apply (zenon_L515_); trivial. % 1.19/1.35 (* end of lemma zenon_L516_ *) % 1.19/1.35 assert (zenon_L517_ : ((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H315 zenon_H235 zenon_H27 zenon_H23 zenon_H21 zenon_H71 zenon_H2ff zenon_H30e zenon_H12a zenon_H113 zenon_H112 zenon_H1be zenon_H1c1 zenon_H290 zenon_H1c5 zenon_Hec zenon_H43 zenon_H217 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H1a5 zenon_H1d0 zenon_H1d2 zenon_H197 zenon_H76 zenon_H65 zenon_Hcf zenon_Hce zenon_Hcd zenon_Hc3 zenon_He0 zenon_He7 zenon_H1b zenon_He6 zenon_H75 zenon_Hca zenon_Hed. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.35 apply (zenon_L501_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.35 apply (zenon_L16_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L494_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.35 apply (zenon_L510_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.35 apply (zenon_L512_); trivial. % 1.19/1.35 apply (zenon_L516_); trivial. % 1.19/1.35 apply (zenon_L500_); trivial. % 1.19/1.35 (* end of lemma zenon_L517_ *) % 1.19/1.35 assert (zenon_L518_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H1d0 zenon_H218 zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.35 apply (zenon_L270_); trivial. % 1.19/1.35 apply (zenon_L167_); trivial. % 1.19/1.35 (* end of lemma zenon_L518_ *) % 1.19/1.35 assert (zenon_L519_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H78 zenon_H1d6 zenon_Ha zenon_Hb0 zenon_H149 zenon_H14a zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.19/1.35 apply (zenon_L36_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.19/1.35 apply (zenon_L144_); trivial. % 1.19/1.35 apply (zenon_L487_); trivial. % 1.19/1.35 (* end of lemma zenon_L519_ *) % 1.19/1.35 assert (zenon_L520_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H14b zenon_H14a zenon_H149 zenon_H78 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_Ha zenon_H1d6 zenon_H29 zenon_H1d7 zenon_H1d8. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.19/1.35 apply (zenon_L441_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.19/1.35 apply (zenon_L519_); trivial. % 1.19/1.35 apply (zenon_L255_); trivial. % 1.19/1.35 (* end of lemma zenon_L520_ *) % 1.19/1.35 assert (zenon_L521_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc3 zenon_H1d8 zenon_H1d7 zenon_H29 zenon_H1d6 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H149 zenon_H14a zenon_H14b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.19/1.35 apply (zenon_L520_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.19/1.35 apply (zenon_L46_); trivial. % 1.19/1.35 exact (zenon_H5 zenon_H6). % 1.19/1.35 (* end of lemma zenon_L521_ *) % 1.19/1.35 assert (zenon_L522_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hac zenon_H19b zenon_H199 zenon_H19a zenon_H1c6 zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L414_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L41_); trivial. % 1.19/1.35 apply (zenon_L87_); trivial. % 1.19/1.35 (* end of lemma zenon_L522_ *) % 1.19/1.35 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a2 zenon_H155 zenon_H290 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.35 apply (zenon_L442_); trivial. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.35 apply (zenon_L521_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.35 apply (zenon_L478_); trivial. % 1.19/1.35 apply (zenon_L522_); trivial. % 1.19/1.35 (* end of lemma zenon_L523_ *) % 1.19/1.35 assert (zenon_L524_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a5 zenon_H155 zenon_H290 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H47 zenon_H19 zenon_H197. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.35 apply (zenon_L118_); trivial. % 1.19/1.35 apply (zenon_L523_); trivial. % 1.19/1.35 (* end of lemma zenon_L524_ *) % 1.19/1.35 assert (zenon_L525_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H5 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H155 zenon_H1a5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.35 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L524_); trivial. % 1.19/1.35 apply (zenon_L498_); trivial. % 1.19/1.35 (* end of lemma zenon_L525_ *) % 1.19/1.35 assert (zenon_L526_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hed zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H197 zenon_Hc3 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_H290 zenon_H1a5 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.35 apply (zenon_L467_); trivial. % 1.19/1.35 apply (zenon_L525_); trivial. % 1.19/1.35 (* end of lemma zenon_L526_ *) % 1.19/1.35 assert (zenon_L527_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a2 zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H22e zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.35 apply (zenon_L17_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.35 apply (zenon_L372_); trivial. % 1.19/1.35 apply (zenon_L454_); trivial. % 1.19/1.35 (* end of lemma zenon_L527_ *) % 1.19/1.35 assert (zenon_L528_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H1a5 zenon_H290 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H225 zenon_H226 zenon_H227 zenon_H1 zenon_H22e zenon_H2c zenon_H2b zenon_H2a zenon_H47 zenon_H19 zenon_H197. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.35 apply (zenon_L118_); trivial. % 1.19/1.35 apply (zenon_L527_); trivial. % 1.19/1.35 (* end of lemma zenon_L528_ *) % 1.19/1.35 assert (zenon_L529_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H3d zenon_Hca zenon_Hec zenon_H303 zenon_H301 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H197 zenon_H19 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.35 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.35 apply (zenon_L528_); trivial. % 1.19/1.35 apply (zenon_L507_); trivial. % 1.19/1.35 (* end of lemma zenon_L529_ *) % 1.19/1.35 assert (zenon_L530_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.35 do 0 intro. intros zenon_H43 zenon_Hca zenon_Hec zenon_H303 zenon_H301 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H197 zenon_H19 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.35 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.35 apply (zenon_L16_); trivial. % 1.19/1.35 apply (zenon_L529_); trivial. % 1.19/1.35 (* end of lemma zenon_L530_ *) % 1.19/1.35 assert (zenon_L531_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c2_1 (a2193))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.19/1.35 do 0 intro. intros zenon_Hac zenon_H1d8 zenon_H1d6 zenon_Hf8 zenon_H1d7 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.19/1.35 apply (zenon_L144_); trivial. % 1.19/1.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.19/1.35 apply (zenon_L386_); trivial. % 1.19/1.36 apply (zenon_L37_); trivial. % 1.19/1.36 (* end of lemma zenon_L531_ *) % 1.19/1.36 assert (zenon_L532_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1f7 zenon_H94 zenon_H93 zenon_H92 zenon_H90 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H19b zenon_H199 zenon_H19a zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.19/1.36 apply (zenon_L531_); trivial. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.19/1.36 apply (zenon_L441_); trivial. % 1.19/1.36 apply (zenon_L522_); trivial. % 1.19/1.36 (* end of lemma zenon_L532_ *) % 1.19/1.36 assert (zenon_L533_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.19/1.36 do 0 intro. intros zenon_H290 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H14b zenon_H14a zenon_H149 zenon_H5a zenon_H50 zenon_H52 zenon_H19a zenon_H199 zenon_H19b zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H92 zenon_H93 zenon_H94 zenon_H1f7 zenon_H76 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H63 zenon_H65. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.36 apply (zenon_L201_); trivial. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.36 apply (zenon_L532_); trivial. % 1.19/1.36 apply (zenon_L367_); trivial. % 1.19/1.36 (* end of lemma zenon_L533_ *) % 1.19/1.36 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1c0 zenon_H155 zenon_H75 zenon_H1c1 zenon_H1be zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H94 zenon_H92 zenon_H93 zenon_Ha3 zenon_H1f7 zenon_H19a zenon_H199 zenon_H19b zenon_H5a zenon_H50 zenon_H52 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.36 apply (zenon_L442_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.36 apply (zenon_L533_); trivial. % 1.19/1.36 apply (zenon_L473_); trivial. % 1.19/1.36 (* end of lemma zenon_L534_ *) % 1.19/1.36 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> False). % 1.19/1.36 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H155 zenon_H75 zenon_H1c1 zenon_H1be zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H19a zenon_H199 zenon_H19b zenon_H5a zenon_H50 zenon_H52 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.36 apply (zenon_L512_); trivial. % 1.19/1.36 apply (zenon_L534_); trivial. % 1.19/1.36 (* end of lemma zenon_L535_ *) % 1.19/1.36 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_H1c5 zenon_H155 zenon_H1c1 zenon_H1be zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H5a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.36 apply (zenon_L405_); trivial. % 1.19/1.36 apply (zenon_L535_); trivial. % 1.19/1.36 (* end of lemma zenon_L536_ *) % 1.19/1.36 assert (zenon_L537_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H19 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H30e zenon_H307 zenon_H306 zenon_H305 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H1be zenon_H1c1 zenon_H155 zenon_H1c5 zenon_Hec zenon_H1a5. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.36 apply (zenon_L118_); trivial. % 1.19/1.36 apply (zenon_L536_); trivial. % 1.19/1.36 apply (zenon_L498_); trivial. % 1.19/1.36 (* end of lemma zenon_L537_ *) % 1.19/1.36 assert (zenon_L538_ : ((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H315 zenon_H235 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1f7 zenon_H30e zenon_H71 zenon_H65 zenon_H76 zenon_H75 zenon_H217 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H1a5 zenon_H290 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_Hc3 zenon_H197 zenon_H112 zenon_H113 zenon_Hb6 zenon_Hc4 zenon_Hca zenon_Hed. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.36 apply (zenon_L526_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.36 apply (zenon_L537_); trivial. % 1.19/1.36 apply (zenon_L525_); trivial. % 1.19/1.36 (* end of lemma zenon_L538_ *) % 1.19/1.36 assert (zenon_L539_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H318 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1f7 zenon_H30e zenon_H65 zenon_H76 zenon_H75 zenon_Hed zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H197 zenon_Hc3 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_H290 zenon_H1a5 zenon_H209 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217 zenon_H43 zenon_Hec zenon_H303 zenon_H71 zenon_H22e zenon_H1 zenon_H21 zenon_H23 zenon_H27 zenon_H235. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.36 apply (zenon_L526_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.36 apply (zenon_L530_); trivial. % 1.19/1.36 apply (zenon_L525_); trivial. % 1.19/1.36 apply (zenon_L538_); trivial. % 1.19/1.36 (* end of lemma zenon_L539_ *) % 1.19/1.36 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(hskp10)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H152 zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H5 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc3 zenon_Hac zenon_H19b zenon_H199 zenon_H19a zenon_H52 zenon_H50 zenon_H5a. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.19/1.36 apply (zenon_L17_); trivial. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.19/1.36 apply (zenon_L478_); trivial. % 1.19/1.36 apply (zenon_L522_); trivial. % 1.19/1.36 (* end of lemma zenon_L540_ *) % 1.19/1.36 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1a2 zenon_H155 zenon_H290 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.19/1.36 apply (zenon_L442_); trivial. % 1.19/1.36 apply (zenon_L540_); trivial. % 1.19/1.36 (* end of lemma zenon_L541_ *) % 1.19/1.36 assert (zenon_L542_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1a5 zenon_H155 zenon_H290 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H47 zenon_H19 zenon_H197. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.19/1.36 apply (zenon_L118_); trivial. % 1.19/1.36 apply (zenon_L541_); trivial. % 1.19/1.36 (* end of lemma zenon_L542_ *) % 1.19/1.36 assert (zenon_L543_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.36 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H5 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H155 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.36 apply (zenon_L16_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.36 apply (zenon_L542_); trivial. % 1.19/1.36 apply (zenon_L56_); trivial. % 1.19/1.36 (* end of lemma zenon_L543_ *) % 1.19/1.36 assert (zenon_L544_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_Hed zenon_H43 zenon_Hca zenon_H75 zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_Hc3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.36 apply (zenon_L467_); trivial. % 1.19/1.36 apply (zenon_L543_); trivial. % 1.19/1.36 (* end of lemma zenon_L544_ *) % 1.19/1.36 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.19/1.36 apply (zenon_L50_); trivial. % 1.19/1.36 apply (zenon_L473_); trivial. % 1.19/1.36 (* end of lemma zenon_L545_ *) % 1.19/1.36 assert (zenon_L546_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H43 zenon_Hca zenon_Hec zenon_H1c5 zenon_H75 zenon_Hac zenon_H5a zenon_H87 zenon_H88 zenon_H89 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H197 zenon_H19 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.36 apply (zenon_L16_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.36 apply (zenon_L528_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.19/1.36 apply (zenon_L503_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.36 apply (zenon_L512_); trivial. % 1.19/1.36 apply (zenon_L545_); trivial. % 1.19/1.36 (* end of lemma zenon_L546_ *) % 1.19/1.36 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H232 zenon_Hed zenon_He6 zenon_H1b zenon_He7 zenon_He0 zenon_H16f zenon_Hc3 zenon_H5 zenon_H155 zenon_H27 zenon_H23 zenon_H21 zenon_H1a5 zenon_H290 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1 zenon_H22e zenon_H19 zenon_H197 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H30e zenon_H307 zenon_H306 zenon_H305 zenon_H76 zenon_H65 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha3 zenon_H1be zenon_H1c1 zenon_H89 zenon_H88 zenon_H87 zenon_H5a zenon_Hac zenon_H75 zenon_H1c5 zenon_Hec zenon_Hca zenon_H43. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.19/1.36 apply (zenon_L546_); trivial. % 1.19/1.36 apply (zenon_L543_); trivial. % 1.19/1.36 (* end of lemma zenon_L547_ *) % 1.19/1.36 assert (zenon_L548_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_Hca zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5 zenon_H1d zenon_H122 zenon_Heb. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.19/1.36 apply (zenon_L499_); trivial. % 1.19/1.36 apply (zenon_L130_); trivial. % 1.19/1.36 apply (zenon_L20_); trivial. % 1.19/1.36 (* end of lemma zenon_L548_ *) % 1.19/1.36 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H232 zenon_H43 zenon_Hca zenon_H1c5 zenon_H75 zenon_H290 zenon_H2ff zenon_H1c1 zenon_H1be zenon_H112 zenon_H113 zenon_H12a zenon_He0 zenon_H5 zenon_Hc3 zenon_H76 zenon_H65 zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.19/1.36 apply (zenon_L16_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.19/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.19/1.36 apply (zenon_L494_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.19/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.36 apply (zenon_L133_); trivial. % 1.19/1.36 apply (zenon_L516_); trivial. % 1.19/1.36 (* end of lemma zenon_L549_ *) % 1.19/1.36 assert (zenon_L550_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.19/1.36 do 0 intro. intros zenon_H42 zenon_H235 zenon_H1c5 zenon_H75 zenon_H10a zenon_H3 zenon_H5a zenon_H52 zenon_H50 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.19/1.36 apply (zenon_L270_); trivial. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.19/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.19/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.19/1.36 apply (zenon_L133_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.36 apply (zenon_L447_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.21/1.36 apply (zenon_L266_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.21/1.36 apply (zenon_L213_); trivial. % 1.21/1.36 exact (zenon_H3 zenon_H4). % 1.21/1.36 (* end of lemma zenon_L550_ *) % 1.21/1.36 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H155 zenon_H75 zenon_H1c1 zenon_H1be zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H19a zenon_H199 zenon_H19b zenon_H5a zenon_H50 zenon_H52 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.36 apply (zenon_L133_); trivial. % 1.21/1.36 apply (zenon_L534_); trivial. % 1.21/1.36 (* end of lemma zenon_L551_ *) % 1.21/1.36 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_H1c5 zenon_H155 zenon_H1c1 zenon_H1be zenon_Hac zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H5a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.36 apply (zenon_L405_); trivial. % 1.21/1.36 apply (zenon_L551_); trivial. % 1.21/1.36 (* end of lemma zenon_L552_ *) % 1.21/1.36 assert (zenon_L553_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_H1c5 zenon_H155 zenon_H1c1 zenon_H1be zenon_Hac zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H5a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75 zenon_H47 zenon_H19 zenon_H197. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.36 apply (zenon_L118_); trivial. % 1.21/1.36 apply (zenon_L552_); trivial. % 1.21/1.36 (* end of lemma zenon_L553_ *) % 1.21/1.36 assert (zenon_L554_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H19 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H1b2 zenon_He zenon_Hd zenon_Hc zenon_H89 zenon_H88 zenon_H87 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_Hac zenon_H1be zenon_H1c1 zenon_H155 zenon_H1c5 zenon_Hec zenon_H1a5. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.36 apply (zenon_L553_); trivial. % 1.21/1.36 apply (zenon_L498_); trivial. % 1.21/1.36 (* end of lemma zenon_L554_ *) % 1.21/1.36 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf0 zenon_H1c5 zenon_H75 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H65 zenon_H76 zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.36 apply (zenon_L133_); trivial. % 1.21/1.36 apply (zenon_L545_); trivial. % 1.21/1.36 (* end of lemma zenon_L555_ *) % 1.21/1.36 assert (zenon_L556_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Heb zenon_Hed zenon_Hca zenon_Hc4 zenon_H113 zenon_H112 zenon_H197 zenon_Hc3 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_H290 zenon_H1a5 zenon_H209 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217 zenon_H75 zenon_H76 zenon_H65 zenon_H71 zenon_H1b2 zenon_He zenon_Hd zenon_Hc zenon_H1f7 zenon_H1be zenon_H1c1 zenon_H1c5 zenon_Hec zenon_H235. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.36 apply (zenon_L526_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.36 apply (zenon_L554_); trivial. % 1.21/1.36 apply (zenon_L525_); trivial. % 1.21/1.36 apply (zenon_L555_); trivial. % 1.21/1.36 (* end of lemma zenon_L556_ *) % 1.21/1.36 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1f7 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H71 zenon_H65 zenon_H76 zenon_H75 zenon_H217 zenon_H155 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H1a5 zenon_H2ff zenon_Ha3 zenon_Hc3 zenon_H197 zenon_Hc4 zenon_Hca zenon_Hed zenon_Heb zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H122 zenon_H1d7 zenon_H1d6 zenon_H3e zenon_H3 zenon_H1d8 zenon_H290 zenon_H235 zenon_H46. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.36 apply (zenon_L274_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.36 apply (zenon_L556_); trivial. % 1.21/1.36 apply (zenon_L475_); trivial. % 1.21/1.36 (* end of lemma zenon_L557_ *) % 1.21/1.36 assert (zenon_L558_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_Hf4 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1f7 zenon_H1b2 zenon_H71 zenon_H65 zenon_H76 zenon_H75 zenon_H217 zenon_H155 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H1a5 zenon_H2ff zenon_Ha3 zenon_Hc3 zenon_H197 zenon_Hc4 zenon_Hca zenon_Hed zenon_Heb zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H122 zenon_H3e zenon_H290 zenon_H235 zenon_H46 zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.36 apply (zenon_L8_); trivial. % 1.21/1.36 apply (zenon_L557_); trivial. % 1.21/1.36 (* end of lemma zenon_L558_ *) % 1.21/1.36 assert (zenon_L559_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp16)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H15 zenon_H1d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H15f | zenon_intro zenon_H23f ]. % 1.21/1.36 apply (zenon_L441_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H16 | zenon_intro zenon_H1e ]. % 1.21/1.36 exact (zenon_H15 zenon_H16). % 1.21/1.36 exact (zenon_H1d zenon_H1e). % 1.21/1.36 (* end of lemma zenon_L559_ *) % 1.21/1.36 assert (zenon_L560_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_Hed zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H5 zenon_Hc3 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3e zenon_Hac zenon_H1d8 zenon_Hec zenon_H16f zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.36 apply (zenon_L559_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.36 apply (zenon_L490_); trivial. % 1.21/1.36 apply (zenon_L483_); trivial. % 1.21/1.36 (* end of lemma zenon_L560_ *) % 1.21/1.36 assert (zenon_L561_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1f7 zenon_H94 zenon_H93 zenon_H92 zenon_H90 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.21/1.36 apply (zenon_L531_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.21/1.36 apply (zenon_L441_); trivial. % 1.21/1.36 apply (zenon_L140_); trivial. % 1.21/1.36 (* end of lemma zenon_L561_ *) % 1.21/1.36 assert (zenon_L562_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hab zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H1f7 zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.36 apply (zenon_L17_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.36 apply (zenon_L561_); trivial. % 1.21/1.36 apply (zenon_L140_); trivial. % 1.21/1.36 (* end of lemma zenon_L562_ *) % 1.21/1.36 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H232 zenon_Hed zenon_H5 zenon_Hc3 zenon_H27 zenon_H23 zenon_H21 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d8 zenon_Hac zenon_Hec zenon_H43. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.36 apply (zenon_L16_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.36 apply (zenon_L405_); trivial. % 1.21/1.36 apply (zenon_L562_); trivial. % 1.21/1.36 apply (zenon_L479_); trivial. % 1.21/1.36 (* end of lemma zenon_L563_ *) % 1.21/1.36 assert (zenon_L564_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf3 zenon_H27 zenon_H23 zenon_H21 zenon_H43 zenon_H217 zenon_H1d4 zenon_H209 zenon_H1a5 zenon_H197 zenon_Hc4 zenon_Hca zenon_He6 zenon_He7 zenon_He0 zenon_Heb zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H122 zenon_H290 zenon_H235 zenon_H23e zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H16f zenon_Hec zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_Hc3 zenon_H5 zenon_H1f7 zenon_Hed zenon_H46 zenon_Hf4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.36 apply (zenon_L477_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.36 apply (zenon_L560_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.36 apply (zenon_L274_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.36 apply (zenon_L526_); trivial. % 1.21/1.36 apply (zenon_L563_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.36 apply (zenon_L544_); trivial. % 1.21/1.36 apply (zenon_L563_); trivial. % 1.21/1.36 apply (zenon_L483_); trivial. % 1.21/1.36 (* end of lemma zenon_L564_ *) % 1.21/1.36 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H152 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H65 zenon_H10c zenon_H10e zenon_H87 zenon_H88 zenon_H89. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.21/1.36 apply (zenon_L60_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H10f ]. % 1.21/1.36 apply (zenon_L487_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H10d | zenon_intro zenon_H66 ]. % 1.21/1.36 exact (zenon_H10c zenon_H10d). % 1.21/1.36 exact (zenon_H65 zenon_H66). % 1.21/1.36 apply (zenon_L36_); trivial. % 1.21/1.36 (* end of lemma zenon_L565_ *) % 1.21/1.36 assert (zenon_L566_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H155 zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H10c zenon_H65 zenon_H10e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.36 apply (zenon_L442_); trivial. % 1.21/1.36 apply (zenon_L565_); trivial. % 1.21/1.36 (* end of lemma zenon_L566_ *) % 1.21/1.36 assert (zenon_L567_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c0_1 (a2186))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hac zenon_Hfb zenon_Hfa zenon_H33 zenon_Hf9 zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.36 apply (zenon_L317_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.36 apply (zenon_L41_); trivial. % 1.21/1.36 apply (zenon_L87_); trivial. % 1.21/1.36 (* end of lemma zenon_L567_ *) % 1.21/1.36 assert (zenon_L568_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H3d zenon_H155 zenon_H3e zenon_H3 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.36 apply (zenon_L442_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.21/1.36 apply (zenon_L17_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.21/1.36 apply (zenon_L567_); trivial. % 1.21/1.36 exact (zenon_H3 zenon_H4). % 1.21/1.36 (* end of lemma zenon_L568_ *) % 1.21/1.36 assert (zenon_L569_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H43 zenon_H155 zenon_H3e zenon_H3 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H21 zenon_H23 zenon_H27. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.36 apply (zenon_L16_); trivial. % 1.21/1.36 apply (zenon_L568_); trivial. % 1.21/1.36 (* end of lemma zenon_L569_ *) % 1.21/1.36 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H27 zenon_H23 zenon_H21 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H3 zenon_H3e zenon_H155 zenon_H43. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.36 apply (zenon_L569_); trivial. % 1.21/1.36 apply (zenon_L20_); trivial. % 1.21/1.36 (* end of lemma zenon_L570_ *) % 1.21/1.36 assert (zenon_L571_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf3 zenon_Hac zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H155 zenon_H110 zenon_H10c zenon_H65 zenon_H10e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H16f zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46 zenon_Hf4. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.36 apply (zenon_L559_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.36 apply (zenon_L566_); trivial. % 1.21/1.36 apply (zenon_L20_); trivial. % 1.21/1.36 apply (zenon_L570_); trivial. % 1.21/1.36 (* end of lemma zenon_L571_ *) % 1.21/1.36 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp17)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H214 zenon_H1f8 zenon_H19 zenon_H1d4 zenon_H5 zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H10c. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.36 apply (zenon_L383_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.36 apply (zenon_L128_); trivial. % 1.21/1.36 exact (zenon_H10c zenon_H10d). % 1.21/1.36 (* end of lemma zenon_L572_ *) % 1.21/1.36 assert (zenon_L573_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H19 zenon_H5 zenon_H1d4 zenon_H205 zenon_H61 zenon_H209. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.36 apply (zenon_L156_); trivial. % 1.21/1.36 apply (zenon_L572_); trivial. % 1.21/1.36 (* end of lemma zenon_L573_ *) % 1.21/1.36 assert (zenon_L574_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H276 zenon_H23 zenon_H10c zenon_H5 zenon_H16d zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.36 apply (zenon_L86_); trivial. % 1.21/1.36 apply (zenon_L445_); trivial. % 1.21/1.36 (* end of lemma zenon_L574_ *) % 1.21/1.36 assert (zenon_L575_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H205 zenon_H1d4 zenon_H5 zenon_H19 zenon_H16d zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H217. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.36 apply (zenon_L573_); trivial. % 1.21/1.36 apply (zenon_L574_); trivial. % 1.21/1.36 (* end of lemma zenon_L575_ *) % 1.21/1.36 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H232 zenon_Hca zenon_H22e zenon_H15 zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.36 apply (zenon_L160_); trivial. % 1.21/1.36 apply (zenon_L458_); trivial. % 1.21/1.36 (* end of lemma zenon_L576_ *) % 1.21/1.36 assert (zenon_L577_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H235 zenon_Hca zenon_H22e zenon_H15 zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.36 apply (zenon_L575_); trivial. % 1.21/1.37 apply (zenon_L576_); trivial. % 1.21/1.37 (* end of lemma zenon_L577_ *) % 1.21/1.37 assert (zenon_L578_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2197)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2197))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1f8 zenon_H36 zenon_Hf8 zenon_H34 zenon_H79 zenon_Hb1 zenon_H7b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H5 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.37 apply (zenon_L441_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.37 apply (zenon_L44_); trivial. % 1.21/1.37 apply (zenon_L149_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.37 apply (zenon_L128_); trivial. % 1.21/1.37 exact (zenon_H10c zenon_H10d). % 1.21/1.37 (* end of lemma zenon_L578_ *) % 1.21/1.37 assert (zenon_L579_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c1_1 (a2262)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H2cd zenon_Hb1 zenon_Hb0 zenon_H79 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1be. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_He2 | zenon_intro zenon_H2ce ]. % 1.21/1.37 apply (zenon_L55_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H33 | zenon_intro zenon_H1bf ]. % 1.21/1.37 apply (zenon_L18_); trivial. % 1.21/1.37 exact (zenon_H1be zenon_H1bf). % 1.21/1.37 (* end of lemma zenon_L579_ *) % 1.21/1.37 assert (zenon_L580_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H42 zenon_Hca zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H1be zenon_H2cd zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H1 zenon_H1d0 zenon_H218. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.37 apply (zenon_L160_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.21/1.37 apply (zenon_L578_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.21/1.37 apply (zenon_L579_); trivial. % 1.21/1.37 apply (zenon_L36_); trivial. % 1.21/1.37 (* end of lemma zenon_L580_ *) % 1.21/1.37 assert (zenon_L581_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H110 zenon_H1be zenon_H2cd zenon_H2ff zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H5 zenon_H16d zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H217 zenon_H218 zenon_H1d0 zenon_H1 zenon_H2fb zenon_H1b zenon_H22e zenon_Hca zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L559_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L577_); trivial. % 1.21/1.37 apply (zenon_L580_); trivial. % 1.21/1.37 (* end of lemma zenon_L581_ *) % 1.21/1.37 assert (zenon_L582_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp11)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1f9 zenon_H307 zenon_H306 zenon_H305 zenon_H61 zenon_H5f zenon_Ha zenon_H50 zenon_H52 zenon_H71 zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.37 apply (zenon_L511_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.37 apply (zenon_L404_); trivial. % 1.21/1.37 exact (zenon_H10c zenon_H10d). % 1.21/1.37 (* end of lemma zenon_L582_ *) % 1.21/1.37 assert (zenon_L583_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hac zenon_H19b zenon_H199 zenon_H19a zenon_H1c6 zenon_H52 zenon_H50 zenon_H5a zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.37 apply (zenon_L414_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.37 apply (zenon_L41_); trivial. % 1.21/1.37 apply (zenon_L37_); trivial. % 1.21/1.37 (* end of lemma zenon_L583_ *) % 1.21/1.37 assert (zenon_L584_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H90 zenon_H5a zenon_H50 zenon_H52 zenon_H19a zenon_H199 zenon_H19b zenon_Hac zenon_H1d0. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.21/1.37 apply (zenon_L441_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.21/1.37 apply (zenon_L583_); trivial. % 1.21/1.37 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.37 (* end of lemma zenon_L584_ *) % 1.21/1.37 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H305 zenon_H306 zenon_H307 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.37 apply (zenon_L582_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.37 apply (zenon_L511_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.37 apply (zenon_L584_); trivial. % 1.21/1.37 exact (zenon_H10c zenon_H10d). % 1.21/1.37 (* end of lemma zenon_L585_ *) % 1.21/1.37 assert (zenon_L586_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H305 zenon_H306 zenon_H307 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9 zenon_H47 zenon_H19 zenon_H197. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.37 apply (zenon_L118_); trivial. % 1.21/1.37 apply (zenon_L585_); trivial. % 1.21/1.37 (* end of lemma zenon_L586_ *) % 1.21/1.37 assert (zenon_L587_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c1 zenon_H13e zenon_H13d zenon_H13c zenon_Hdc zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.21/1.37 apply (zenon_L127_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.21/1.37 apply (zenon_L134_); trivial. % 1.21/1.37 exact (zenon_H1be zenon_H1bf). % 1.21/1.37 (* end of lemma zenon_L587_ *) % 1.21/1.37 assert (zenon_L588_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.37 do 0 intro. intros zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1c1 zenon_H13e zenon_H13d zenon_H13c zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.21/1.37 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.37 apply (zenon_L35_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.37 apply (zenon_L49_); trivial. % 1.21/1.37 apply (zenon_L587_); trivial. % 1.21/1.37 (* end of lemma zenon_L588_ *) % 1.21/1.37 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H152 zenon_Hac zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H13c zenon_H13d zenon_H13e zenon_H1c1 zenon_Hcd zenon_Hce zenon_Hcf zenon_H79 zenon_H7b zenon_He0 zenon_H52 zenon_H50 zenon_H5a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.37 apply (zenon_L588_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.37 apply (zenon_L41_); trivial. % 1.21/1.37 apply (zenon_L87_); trivial. % 1.21/1.37 (* end of lemma zenon_L589_ *) % 1.21/1.37 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c0 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H79 zenon_H7b zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.37 apply (zenon_L442_); trivial. % 1.21/1.37 apply (zenon_L589_); trivial. % 1.21/1.37 (* end of lemma zenon_L590_ *) % 1.21/1.37 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H79 zenon_H7b zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.37 apply (zenon_L512_); trivial. % 1.21/1.37 apply (zenon_L590_); trivial. % 1.21/1.37 (* end of lemma zenon_L591_ *) % 1.21/1.37 assert (zenon_L592_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H18b zenon_Hbb zenon_Hba zenon_Hb9 zenon_H13e zenon_H13d zenon_H13c zenon_H90 zenon_Ha zenon_H50 zenon_H52. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.21/1.37 apply (zenon_L46_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.21/1.37 apply (zenon_L84_); trivial. % 1.21/1.37 apply (zenon_L403_); trivial. % 1.21/1.37 (* end of lemma zenon_L592_ *) % 1.21/1.37 assert (zenon_L593_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp11)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc9 zenon_H1f9 zenon_H307 zenon_H306 zenon_H305 zenon_H52 zenon_H50 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H10c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.37 apply (zenon_L511_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.37 apply (zenon_L592_); trivial. % 1.21/1.37 exact (zenon_H10c zenon_H10d). % 1.21/1.37 (* end of lemma zenon_L593_ *) % 1.21/1.37 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H110 zenon_H2cd zenon_H235 zenon_H16f zenon_H218 zenon_H1d0 zenon_H1 zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H71 zenon_H2ff zenon_H303 zenon_Hec zenon_Hca zenon_H217 zenon_H1f8 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H1c5 zenon_H1c1 zenon_H1be zenon_He0 zenon_H30e zenon_H197 zenon_H1f9 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H18b zenon_H318 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L131_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.37 apply (zenon_L129_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L575_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L508_); trivial. % 1.21/1.37 apply (zenon_L446_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.37 apply (zenon_L586_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.37 apply (zenon_L582_); trivial. % 1.21/1.37 apply (zenon_L591_); trivial. % 1.21/1.37 apply (zenon_L593_); trivial. % 1.21/1.37 apply (zenon_L580_); trivial. % 1.21/1.37 (* end of lemma zenon_L594_ *) % 1.21/1.37 assert (zenon_L595_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf3 zenon_H16f zenon_H71 zenon_H303 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_He0 zenon_H30e zenon_H197 zenon_H1f9 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H18b zenon_H318 zenon_H1ae zenon_H122 zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_Hca zenon_H22e zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2ff zenon_H2cd zenon_H1be zenon_H110 zenon_H46 zenon_Hf4. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_L581_); trivial. % 1.21/1.37 apply (zenon_L594_); trivial. % 1.21/1.37 (* end of lemma zenon_L595_ *) % 1.21/1.37 assert (zenon_L596_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hed zenon_H18b zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1d4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L143_); trivial. % 1.21/1.37 apply (zenon_L204_); trivial. % 1.21/1.37 (* end of lemma zenon_L596_ *) % 1.21/1.37 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H152 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d zenon_H122 zenon_H52 zenon_H50 zenon_H5a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.37 apply (zenon_L389_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.37 apply (zenon_L41_); trivial. % 1.21/1.37 apply (zenon_L87_); trivial. % 1.21/1.37 (* end of lemma zenon_L597_ *) % 1.21/1.37 assert (zenon_L598_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d zenon_H122 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.37 apply (zenon_L86_); trivial. % 1.21/1.37 apply (zenon_L597_); trivial. % 1.21/1.37 (* end of lemma zenon_L598_ *) % 1.21/1.37 assert (zenon_L599_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H147 zenon_H4b zenon_H122 zenon_H155 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_Hec zenon_Ha3 zenon_Hac zenon_H3e zenon_H3 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H18b zenon_Hed zenon_H46 zenon_Hf4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L559_); trivial. % 1.21/1.37 apply (zenon_L596_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L598_); trivial. % 1.21/1.37 apply (zenon_L596_); trivial. % 1.21/1.37 (* end of lemma zenon_L599_ *) % 1.21/1.37 assert (zenon_L600_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H127 zenon_H1b2 zenon_Hf3 zenon_H16f zenon_H71 zenon_H303 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_He0 zenon_H30e zenon_H197 zenon_H1f9 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H18b zenon_H318 zenon_H1ae zenon_H122 zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_Hca zenon_H22e zenon_H1b zenon_H2fb zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2ff zenon_H2cd zenon_H1be zenon_H110 zenon_H46 zenon_Hf4 zenon_H75 zenon_H76 zenon_H65 zenon_H3 zenon_H3e zenon_Ha3 zenon_H201. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.37 apply (zenon_L595_); trivial. % 1.21/1.37 apply (zenon_L599_); trivial. % 1.21/1.37 apply (zenon_L138_); trivial. % 1.21/1.37 (* end of lemma zenon_L600_ *) % 1.21/1.37 assert (zenon_L601_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf4 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L559_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.37 apply (zenon_L86_); trivial. % 1.21/1.37 apply (zenon_L489_); trivial. % 1.21/1.37 (* end of lemma zenon_L601_ *) % 1.21/1.37 assert (zenon_L602_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H1d0 zenon_H218 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1d zenon_H1f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L12_); trivial. % 1.21/1.37 apply (zenon_L518_); trivial. % 1.21/1.37 (* end of lemma zenon_L602_ *) % 1.21/1.37 assert (zenon_L603_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L467_); trivial. % 1.21/1.37 apply (zenon_L194_); trivial. % 1.21/1.37 (* end of lemma zenon_L603_ *) % 1.21/1.37 assert (zenon_L604_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hab zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H52 zenon_H50 zenon_H13c zenon_H13d zenon_H13e zenon_H112 zenon_H113 zenon_H12a zenon_H18b. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.37 apply (zenon_L36_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.21/1.37 apply (zenon_L514_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.21/1.37 apply (zenon_L84_); trivial. % 1.21/1.37 apply (zenon_L403_); trivial. % 1.21/1.37 apply (zenon_L38_); trivial. % 1.21/1.37 (* end of lemma zenon_L604_ *) % 1.21/1.37 assert (zenon_L605_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H1d0 zenon_H1d2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.37 apply (zenon_L447_); trivial. % 1.21/1.37 apply (zenon_L184_); trivial. % 1.21/1.37 (* end of lemma zenon_L605_ *) % 1.21/1.37 assert (zenon_L606_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H232 zenon_Hed zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H87 zenon_H88 zenon_H89 zenon_H18b zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H12a zenon_H113 zenon_H112 zenon_Ha3 zenon_Hec. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.37 apply (zenon_L448_); trivial. % 1.21/1.37 apply (zenon_L604_); trivial. % 1.21/1.37 apply (zenon_L605_); trivial. % 1.21/1.37 (* end of lemma zenon_L606_ *) % 1.21/1.37 assert (zenon_L607_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c2_1 (a2187)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Heb zenon_H235 zenon_H71 zenon_H87 zenon_H88 zenon_H89 zenon_H12a zenon_Ha3 zenon_Hec zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_H76 zenon_H65 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H19 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.37 apply (zenon_L499_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L603_); trivial. % 1.21/1.37 apply (zenon_L606_); trivial. % 1.21/1.37 (* end of lemma zenon_L607_ *) % 1.21/1.37 assert (zenon_L608_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H290 zenon_H5a zenon_Hac zenon_H13c zenon_H13d zenon_H13e zenon_H50 zenon_H52 zenon_H18b zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75 zenon_H155 zenon_H1a5. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.37 apply (zenon_L118_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.37 apply (zenon_L442_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.37 apply (zenon_L182_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.37 apply (zenon_L592_); trivial. % 1.21/1.37 apply (zenon_L522_); trivial. % 1.21/1.37 apply (zenon_L184_); trivial. % 1.21/1.37 apply (zenon_L498_); trivial. % 1.21/1.37 (* end of lemma zenon_L608_ *) % 1.21/1.37 assert (zenon_L609_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hed zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H290 zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H50 zenon_H52 zenon_H18b zenon_H65 zenon_H76 zenon_H75 zenon_H1a5 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L452_); trivial. % 1.21/1.37 apply (zenon_L608_); trivial. % 1.21/1.37 (* end of lemma zenon_L609_ *) % 1.21/1.37 assert (zenon_L610_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hec zenon_Ha3 zenon_H112 zenon_H113 zenon_H12a zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H89 zenon_H88 zenon_H87 zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.37 apply (zenon_L405_); trivial. % 1.21/1.37 apply (zenon_L604_); trivial. % 1.21/1.37 (* end of lemma zenon_L610_ *) % 1.21/1.37 assert (zenon_L611_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H232 zenon_Hed zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H2ff zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5a zenon_Hac zenon_H155 zenon_H1a5 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H87 zenon_H88 zenon_H89 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H12a zenon_H113 zenon_H112 zenon_Ha3 zenon_Hec. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L610_); trivial. % 1.21/1.37 apply (zenon_L608_); trivial. % 1.21/1.37 (* end of lemma zenon_L611_ *) % 1.21/1.37 assert (zenon_L612_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c2_1 (a2187)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H235 zenon_H71 zenon_H87 zenon_H88 zenon_H89 zenon_H12a zenon_Ha3 zenon_Hec zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H1a5 zenon_H75 zenon_H76 zenon_H65 zenon_H18b zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H290 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hb6 zenon_Hc4 zenon_Hca zenon_Hed. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L609_); trivial. % 1.21/1.37 apply (zenon_L611_); trivial. % 1.21/1.37 (* end of lemma zenon_L612_ *) % 1.21/1.37 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H232 zenon_Hed zenon_Hcd zenon_Hce zenon_Hcf zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H87 zenon_H88 zenon_H89 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H12a zenon_H113 zenon_H112 zenon_Ha3 zenon_Hec. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L610_); trivial. % 1.21/1.37 apply (zenon_L194_); trivial. % 1.21/1.37 (* end of lemma zenon_L613_ *) % 1.21/1.37 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2187)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H3e zenon_H235 zenon_H71 zenon_H12a zenon_Ha3 zenon_Hec zenon_H217 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H1a5 zenon_H75 zenon_H76 zenon_H65 zenon_H18b zenon_H290 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca zenon_Hed zenon_Heb zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H122 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hac zenon_H155. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L598_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.37 apply (zenon_L612_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L603_); trivial. % 1.21/1.37 apply (zenon_L613_); trivial. % 1.21/1.37 apply (zenon_L204_); trivial. % 1.21/1.37 (* end of lemma zenon_L614_ *) % 1.21/1.37 assert (zenon_L615_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H201 zenon_H3e zenon_H10a zenon_H290 zenon_H122 zenon_Hf4 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H218 zenon_H12a zenon_H21c zenon_H1b zenon_H1f zenon_Heb zenon_H71 zenon_Hec zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_H76 zenon_H65 zenon_H18b zenon_H75 zenon_Hed zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H16f zenon_H197 zenon_Hc4 zenon_Hf3. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_L601_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L602_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L607_); trivial. % 1.21/1.37 apply (zenon_L518_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_L601_); trivial. % 1.21/1.37 apply (zenon_L614_); trivial. % 1.21/1.37 (* end of lemma zenon_L615_ *) % 1.21/1.37 assert (zenon_L616_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H42 zenon_H235 zenon_H1d2 zenon_H1d0 zenon_H1d zenon_H122 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L270_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.21/1.37 apply (zenon_L441_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.21/1.37 apply (zenon_L272_); trivial. % 1.21/1.37 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.37 (* end of lemma zenon_L616_ *) % 1.21/1.37 assert (zenon_L617_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H46 zenon_H235 zenon_H1d2 zenon_H1d0 zenon_H122 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1d zenon_H1f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L12_); trivial. % 1.21/1.37 apply (zenon_L616_); trivial. % 1.21/1.37 (* end of lemma zenon_L617_ *) % 1.21/1.37 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (c2_1 (a2187)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf3 zenon_H235 zenon_H12a zenon_H217 zenon_H10a zenon_H1d4 zenon_H209 zenon_H1a5 zenon_H18b zenon_H290 zenon_H197 zenon_Hc4 zenon_Hca zenon_Heb zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H122 zenon_H23e zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H16f zenon_Hec zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_Hc3 zenon_H5 zenon_H1f7 zenon_Hed zenon_H46 zenon_Hf4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.37 apply (zenon_L477_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_L560_); trivial. % 1.21/1.37 apply (zenon_L614_); trivial. % 1.21/1.37 (* end of lemma zenon_L618_ *) % 1.21/1.37 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp12)) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc2 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1be zenon_H34 zenon_H35 zenon_H36 zenon_H2cd zenon_H87 zenon_H88 zenon_H89. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.21/1.37 apply (zenon_L60_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.21/1.37 apply (zenon_L579_); trivial. % 1.21/1.37 apply (zenon_L36_); trivial. % 1.21/1.37 (* end of lemma zenon_L619_ *) % 1.21/1.37 assert (zenon_L620_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H42 zenon_Hca zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H1be zenon_H2cd zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1 zenon_H1d0 zenon_H218. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.37 apply (zenon_L160_); trivial. % 1.21/1.37 apply (zenon_L619_); trivial. % 1.21/1.37 (* end of lemma zenon_L620_ *) % 1.21/1.37 assert (zenon_L621_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hca zenon_H1be zenon_H2cd zenon_H1 zenon_H1d0 zenon_H218 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10e zenon_H65 zenon_H10c zenon_H110 zenon_H155. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_L566_); trivial. % 1.21/1.37 apply (zenon_L620_); trivial. % 1.21/1.37 (* end of lemma zenon_L621_ *) % 1.21/1.37 assert (zenon_L622_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf3 zenon_H122 zenon_H3 zenon_H10a zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H155 zenon_H110 zenon_H10c zenon_H65 zenon_H10e zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H16f zenon_H218 zenon_H1d0 zenon_H1 zenon_H2cd zenon_H1be zenon_Hca zenon_H46 zenon_Hf4. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L559_); trivial. % 1.21/1.37 apply (zenon_L621_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L75_); trivial. % 1.21/1.37 apply (zenon_L621_); trivial. % 1.21/1.37 (* end of lemma zenon_L622_ *) % 1.21/1.37 assert (zenon_L623_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.37 apply (zenon_L442_); trivial. % 1.21/1.37 apply (zenon_L314_); trivial. % 1.21/1.37 (* end of lemma zenon_L623_ *) % 1.21/1.37 assert (zenon_L624_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hed zenon_H155 zenon_H110 zenon_H89 zenon_H88 zenon_H87 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.37 apply (zenon_L159_); trivial. % 1.21/1.37 apply (zenon_L623_); trivial. % 1.21/1.37 (* end of lemma zenon_L624_ *) % 1.21/1.37 assert (zenon_L625_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H3e zenon_Hac zenon_Ha3 zenon_Hed zenon_H155 zenon_H110 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H16f zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_Hca zenon_H1b zenon_H2fb zenon_H197 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H22e zenon_H1 zenon_H1d8 zenon_H290 zenon_H10c zenon_H10e zenon_Hec zenon_H1a5 zenon_H147 zenon_H4b zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.37 apply (zenon_L559_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.37 apply (zenon_L624_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L459_); trivial. % 1.21/1.38 apply (zenon_L315_); trivial. % 1.21/1.38 apply (zenon_L204_); trivial. % 1.21/1.38 (* end of lemma zenon_L625_ *) % 1.21/1.38 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H10c zenon_H10e zenon_Hec. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L449_); trivial. % 1.21/1.38 apply (zenon_L605_); trivial. % 1.21/1.38 (* end of lemma zenon_L626_ *) % 1.21/1.38 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf5 zenon_H235 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d0 zenon_H1d2 zenon_H10c zenon_H10e zenon_Hec zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L402_); trivial. % 1.21/1.38 apply (zenon_L626_); trivial. % 1.21/1.38 (* end of lemma zenon_L627_ *) % 1.21/1.38 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H123 zenon_H201 zenon_Hf4 zenon_H46 zenon_H3e zenon_H110 zenon_H16f zenon_Hca zenon_H2ff zenon_H197 zenon_H290 zenon_H1b2 zenon_H1f7 zenon_Ha3 zenon_H1be zenon_H1c1 zenon_H1c5 zenon_H1a5 zenon_H147 zenon_H4b zenon_H122 zenon_Hac zenon_H155 zenon_H17 zenon_H3 zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10a zenon_H217 zenon_Hec zenon_H10e zenon_H10c zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H71 zenon_H235 zenon_Hf3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L8_); trivial. % 1.21/1.38 apply (zenon_L627_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L8_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L598_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L624_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L553_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L510_); trivial. % 1.21/1.38 apply (zenon_L65_); trivial. % 1.21/1.38 apply (zenon_L208_); trivial. % 1.21/1.38 apply (zenon_L475_); trivial. % 1.21/1.38 (* end of lemma zenon_L628_ *) % 1.21/1.38 assert (zenon_L629_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H200 zenon_H1f7 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2f4 zenon_H2f3 zenon_H2f2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.21/1.38 apply (zenon_L60_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.21/1.38 apply (zenon_L441_); trivial. % 1.21/1.38 apply (zenon_L140_); trivial. % 1.21/1.38 (* end of lemma zenon_L629_ *) % 1.21/1.38 assert (zenon_L630_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c2_1 (a2187)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf3 zenon_H235 zenon_H71 zenon_H1d0 zenon_H1d2 zenon_H12a zenon_Hec zenon_H217 zenon_H209 zenon_H65 zenon_H76 zenon_H18b zenon_H75 zenon_Hed zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Hf4. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L601_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L75_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L402_); trivial. % 1.21/1.38 apply (zenon_L606_); trivial. % 1.21/1.38 (* end of lemma zenon_L630_ *) % 1.21/1.38 assert (zenon_L631_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp8)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(hskp7)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H42 zenon_H2a1 zenon_H21 zenon_H15e zenon_H161 zenon_H160 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H29f zenon_H17f. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.21/1.38 apply (zenon_L266_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a0 ]. % 1.21/1.38 apply (zenon_L266_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H13b | zenon_intro zenon_H22 ]. % 1.21/1.38 apply (zenon_L109_); trivial. % 1.21/1.38 exact (zenon_H21 zenon_H22). % 1.21/1.38 exact (zenon_H17f zenon_H180). % 1.21/1.38 (* end of lemma zenon_L631_ *) % 1.21/1.38 assert (zenon_L632_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H15e zenon_H161 zenon_H160 zenon_H21 zenon_H29f zenon_H16f zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L559_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_L490_); trivial. % 1.21/1.38 apply (zenon_L631_); trivial. % 1.21/1.38 (* end of lemma zenon_L632_ *) % 1.21/1.38 assert (zenon_L633_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp7)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> False). % 1.21/1.38 do 0 intro. intros zenon_He0 zenon_H17f zenon_H14a zenon_H14b zenon_H160 zenon_H181 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H15e zenon_H171 zenon_H161. % 1.21/1.38 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.38 apply (zenon_L106_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.38 apply (zenon_L186_); trivial. % 1.21/1.38 apply (zenon_L101_); trivial. % 1.21/1.38 (* end of lemma zenon_L633_ *) % 1.21/1.38 assert (zenon_L634_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a2181)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H193 zenon_H161 zenon_H15e zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H181 zenon_H160 zenon_H14b zenon_H14a zenon_H17f zenon_He0 zenon_H12a zenon_H113 zenon_H112 zenon_Ha zenon_H5a zenon_H50 zenon_H52. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L633_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.21/1.38 apply (zenon_L111_); trivial. % 1.21/1.38 apply (zenon_L41_); trivial. % 1.21/1.38 (* end of lemma zenon_L634_ *) % 1.21/1.38 assert (zenon_L635_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp7)) -> (c1_1 (a2181)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp14)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H152 zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H52 zenon_H50 zenon_H5a zenon_H112 zenon_H113 zenon_H12a zenon_He0 zenon_H17f zenon_H160 zenon_H181 zenon_H227 zenon_H226 zenon_H225 zenon_H15e zenon_H161 zenon_H193 zenon_H1d0. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.21/1.38 apply (zenon_L441_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.21/1.38 apply (zenon_L634_); trivial. % 1.21/1.38 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.38 (* end of lemma zenon_L635_ *) % 1.21/1.38 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H232 zenon_H155 zenon_H1d2 zenon_H1d0 zenon_He0 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H112 zenon_H113 zenon_H12a zenon_H5a zenon_H50 zenon_H52 zenon_H193 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L442_); trivial. % 1.21/1.38 apply (zenon_L635_); trivial. % 1.21/1.38 (* end of lemma zenon_L636_ *) % 1.21/1.38 assert (zenon_L637_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Heb zenon_H235 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H12a zenon_H193 zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_H76 zenon_H65 zenon_Hc3 zenon_He0 zenon_He7 zenon_H1b zenon_He6 zenon_H75 zenon_Hed zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H19 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.38 apply (zenon_L499_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L501_); trivial. % 1.21/1.38 apply (zenon_L636_); trivial. % 1.21/1.38 (* end of lemma zenon_L637_ *) % 1.21/1.38 assert (zenon_L638_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d zenon_H122 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L442_); trivial. % 1.21/1.38 apply (zenon_L597_); trivial. % 1.21/1.38 (* end of lemma zenon_L638_ *) % 1.21/1.38 assert (zenon_L639_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L405_); trivial. % 1.21/1.38 apply (zenon_L177_); trivial. % 1.21/1.38 (* end of lemma zenon_L639_ *) % 1.21/1.38 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H232 zenon_Hed zenon_Hc3 zenon_H5 zenon_H1d8 zenon_H1d zenon_H122 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L639_); trivial. % 1.21/1.38 apply (zenon_L390_); trivial. % 1.21/1.38 (* end of lemma zenon_L640_ *) % 1.21/1.38 assert (zenon_L641_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2193)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hed zenon_Hc3 zenon_H5 zenon_H1d8 zenon_H1d zenon_H122 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L270_); trivial. % 1.21/1.38 apply (zenon_L640_); trivial. % 1.21/1.38 (* end of lemma zenon_L641_ *) % 1.21/1.38 assert (zenon_L642_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H46 zenon_H235 zenon_Hed zenon_Hc3 zenon_H5 zenon_H75 zenon_H76 zenon_H65 zenon_H71 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H122 zenon_H1d zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_L638_); trivial. % 1.21/1.38 apply (zenon_L641_); trivial. % 1.21/1.38 (* end of lemma zenon_L642_ *) % 1.21/1.38 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H232 zenon_Hed zenon_H155 zenon_H183 zenon_He0 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_H5 zenon_Hc3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L639_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L442_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.38 apply (zenon_L521_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.38 apply (zenon_L521_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.38 apply (zenon_L478_); trivial. % 1.21/1.38 apply (zenon_L633_); trivial. % 1.21/1.38 apply (zenon_L106_); trivial. % 1.21/1.38 (* end of lemma zenon_L643_ *) % 1.21/1.38 assert (zenon_L644_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H235 zenon_H183 zenon_He0 zenon_H75 zenon_H76 zenon_H65 zenon_H71 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H217 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H1a5 zenon_H290 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_Hc3 zenon_H197 zenon_H112 zenon_H113 zenon_Hb6 zenon_Hc4 zenon_Hca zenon_Hed. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L526_); trivial. % 1.21/1.38 apply (zenon_L643_); trivial. % 1.21/1.38 (* end of lemma zenon_L644_ *) % 1.21/1.38 assert (zenon_L645_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hed zenon_H43 zenon_H290 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc3 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L467_); trivial. % 1.21/1.38 apply (zenon_L479_); trivial. % 1.21/1.38 (* end of lemma zenon_L645_ *) % 1.21/1.38 assert (zenon_L646_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (~(c2_1 (a2265))) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hac zenon_H20c zenon_H20d zenon_H20b zenon_H1a6 zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.38 apply (zenon_L382_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.38 apply (zenon_L41_); trivial. % 1.21/1.38 apply (zenon_L87_); trivial. % 1.21/1.38 (* end of lemma zenon_L646_ *) % 1.21/1.38 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H214 zenon_H155 zenon_H1f8 zenon_H10c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L442_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.38 apply (zenon_L383_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.38 apply (zenon_L646_); trivial. % 1.21/1.38 exact (zenon_H10c zenon_H10d). % 1.21/1.38 (* end of lemma zenon_L647_ *) % 1.21/1.38 assert (zenon_L648_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hed zenon_H276 zenon_H23 zenon_H16d zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H10c zenon_H1f8 zenon_H155 zenon_H217. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.38 apply (zenon_L156_); trivial. % 1.21/1.38 apply (zenon_L647_); trivial. % 1.21/1.38 apply (zenon_L574_); trivial. % 1.21/1.38 (* end of lemma zenon_L648_ *) % 1.21/1.38 assert (zenon_L649_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H2ff zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_H71 zenon_H52 zenon_H50 zenon_Ha zenon_H5f zenon_H61. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.38 apply (zenon_L98_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.38 apply (zenon_L44_); trivial. % 1.21/1.38 apply (zenon_L404_); trivial. % 1.21/1.38 (* end of lemma zenon_L649_ *) % 1.21/1.38 assert (zenon_L650_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp22)) -> (~(hskp27)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H22e zenon_H61 zenon_H5f zenon_H50 zenon_H52 zenon_H71 zenon_H79 zenon_Hb1 zenon_H7b zenon_H16d zenon_H161 zenon_H160 zenon_H15e zenon_H10c zenon_H5 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.38 apply (zenon_L649_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.38 apply (zenon_L165_); trivial. % 1.21/1.38 exact (zenon_H1 zenon_H2). % 1.21/1.38 (* end of lemma zenon_L650_ *) % 1.21/1.38 assert (zenon_L651_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp19)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H2ff zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_H303 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H1 zenon_H301. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.38 apply (zenon_L98_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.38 apply (zenon_L44_); trivial. % 1.21/1.38 apply (zenon_L505_); trivial. % 1.21/1.38 (* end of lemma zenon_L651_ *) % 1.21/1.38 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hab zenon_H22e zenon_H301 zenon_H303 zenon_H79 zenon_Hb1 zenon_H7b zenon_H16d zenon_H161 zenon_H160 zenon_H15e zenon_H10c zenon_H5 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.38 apply (zenon_L651_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.38 apply (zenon_L165_); trivial. % 1.21/1.38 exact (zenon_H1 zenon_H2). % 1.21/1.38 (* end of lemma zenon_L652_ *) % 1.21/1.38 assert (zenon_L653_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H303 zenon_H301 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H225 zenon_H226 zenon_H227 zenon_H1 zenon_H22e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L650_); trivial. % 1.21/1.38 apply (zenon_L652_); trivial. % 1.21/1.38 (* end of lemma zenon_L653_ *) % 1.21/1.38 assert (zenon_L654_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H235 zenon_H218 zenon_H1d0 zenon_H1 zenon_H22e zenon_H161 zenon_H160 zenon_H15e zenon_H71 zenon_H2ff zenon_H301 zenon_H303 zenon_Hec zenon_Hca zenon_H217 zenon_H155 zenon_H1f8 zenon_H10c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H16d zenon_H23 zenon_H276 zenon_Hed. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L648_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L160_); trivial. % 1.21/1.38 apply (zenon_L653_); trivial. % 1.21/1.38 apply (zenon_L446_); trivial. % 1.21/1.38 (* end of lemma zenon_L654_ *) % 1.21/1.38 assert (zenon_L655_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2265))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1c1 zenon_H20c zenon_H20d zenon_H78 zenon_H20b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1c4 ]. % 1.21/1.38 apply (zenon_L382_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1bf ]. % 1.21/1.38 apply (zenon_L134_); trivial. % 1.21/1.38 exact (zenon_H1be zenon_H1bf). % 1.21/1.38 (* end of lemma zenon_L655_ *) % 1.21/1.38 assert (zenon_L656_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hac zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H20b zenon_H20d zenon_H20c zenon_H1c1 zenon_H52 zenon_H50 zenon_H5a zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.38 apply (zenon_L655_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.38 apply (zenon_L41_); trivial. % 1.21/1.38 apply (zenon_L37_); trivial. % 1.21/1.38 (* end of lemma zenon_L656_ *) % 1.21/1.38 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (~(c2_1 (a2265))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H1f9 zenon_H10c zenon_H1c1 zenon_H1be zenon_H20c zenon_H20d zenon_H20b zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H305 zenon_H306 zenon_H307 zenon_H30e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.38 apply (zenon_L512_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.38 apply (zenon_L511_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.38 apply (zenon_L656_); trivial. % 1.21/1.38 exact (zenon_H10c zenon_H10d). % 1.21/1.38 (* end of lemma zenon_L657_ *) % 1.21/1.38 assert (zenon_L658_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H214 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H5a zenon_Hac zenon_H30e zenon_H305 zenon_H306 zenon_H307 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L582_); trivial. % 1.21/1.38 apply (zenon_L657_); trivial. % 1.21/1.38 (* end of lemma zenon_L658_ *) % 1.21/1.38 assert (zenon_L659_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H209 zenon_H205 zenon_H1f9 zenon_H10c zenon_H50 zenon_H52 zenon_H71 zenon_H307 zenon_H306 zenon_H305 zenon_H30e zenon_Hac zenon_H5a zenon_H1be zenon_H1c1 zenon_H1c5 zenon_Hec zenon_H217. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.38 apply (zenon_L156_); trivial. % 1.21/1.38 apply (zenon_L658_); trivial. % 1.21/1.38 apply (zenon_L574_); trivial. % 1.21/1.38 (* end of lemma zenon_L659_ *) % 1.21/1.38 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2262))) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hab zenon_H155 zenon_H1f8 zenon_H20b zenon_H20d zenon_H20c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H16d zenon_H5 zenon_H10c zenon_H161 zenon_H160 zenon_H15e zenon_H79 zenon_Hb1 zenon_H7b zenon_H303 zenon_H301 zenon_H1 zenon_H2ff zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L86_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.38 apply (zenon_L651_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.38 apply (zenon_L646_); trivial. % 1.21/1.38 exact (zenon_H10c zenon_H10d). % 1.21/1.38 (* end of lemma zenon_L660_ *) % 1.21/1.38 assert (zenon_L661_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf3 zenon_H22f zenon_H1ae zenon_H161 zenon_H160 zenon_H15e zenon_H71 zenon_H303 zenon_Hec zenon_Hac zenon_H16f zenon_H1f9 zenon_H30e zenon_H1c1 zenon_H1c5 zenon_He0 zenon_H197 zenon_H1d2 zenon_H1a5 zenon_H18b zenon_H318 zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_Hca zenon_H22e zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2ff zenon_H2cd zenon_H1be zenon_H110 zenon_H46 zenon_Hf4. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L581_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.38 apply (zenon_L129_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.21/1.38 apply (zenon_L654_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L659_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L586_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L650_); trivial. % 1.21/1.38 apply (zenon_L591_); trivial. % 1.21/1.38 apply (zenon_L593_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L160_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.38 apply (zenon_L156_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L86_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.38 apply (zenon_L649_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.38 apply (zenon_L646_); trivial. % 1.21/1.38 exact (zenon_H10c zenon_H10d). % 1.21/1.38 apply (zenon_L660_); trivial. % 1.21/1.38 apply (zenon_L574_); trivial. % 1.21/1.38 apply (zenon_L167_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L659_); trivial. % 1.21/1.38 apply (zenon_L167_); trivial. % 1.21/1.38 (* end of lemma zenon_L661_ *) % 1.21/1.38 assert (zenon_L662_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H76 zenon_H65 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L51_); trivial. % 1.21/1.38 apply (zenon_L177_); trivial. % 1.21/1.38 (* end of lemma zenon_L662_ *) % 1.21/1.38 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf0 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L662_); trivial. % 1.21/1.38 apply (zenon_L194_); trivial. % 1.21/1.38 (* end of lemma zenon_L663_ *) % 1.21/1.38 assert (zenon_L664_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H1d2 zenon_H1d0 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L448_); trivial. % 1.21/1.38 apply (zenon_L177_); trivial. % 1.21/1.38 (* end of lemma zenon_L664_ *) % 1.21/1.38 assert (zenon_L665_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L664_); trivial. % 1.21/1.38 apply (zenon_L605_); trivial. % 1.21/1.38 (* end of lemma zenon_L665_ *) % 1.21/1.38 assert (zenon_L666_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L270_); trivial. % 1.21/1.38 apply (zenon_L665_); trivial. % 1.21/1.38 (* end of lemma zenon_L666_ *) % 1.21/1.38 assert (zenon_L667_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf3 zenon_H46 zenon_H235 zenon_H12a zenon_H21c zenon_Hca zenon_Hc4 zenon_H197 zenon_H16f zenon_H1d2 zenon_H1d0 zenon_Hac zenon_H1a5 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H18b zenon_Hed zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Hf4. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L601_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.38 apply (zenon_L499_); trivial. % 1.21/1.38 apply (zenon_L663_); trivial. % 1.21/1.38 apply (zenon_L666_); trivial. % 1.21/1.38 (* end of lemma zenon_L667_ *) % 1.21/1.38 assert (zenon_L668_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Heb zenon_Hed zenon_Hca zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H290 zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H50 zenon_H52 zenon_H18b zenon_H65 zenon_H76 zenon_H75 zenon_H1a5 zenon_H209 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H71 zenon_H183 zenon_Hc3 zenon_He0 zenon_H235. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L609_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L639_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.38 apply (zenon_L442_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.38 apply (zenon_L182_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.38 apply (zenon_L182_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.38 apply (zenon_L478_); trivial. % 1.21/1.38 apply (zenon_L633_); trivial. % 1.21/1.38 apply (zenon_L106_); trivial. % 1.21/1.38 apply (zenon_L184_); trivial. % 1.21/1.38 apply (zenon_L663_); trivial. % 1.21/1.38 (* end of lemma zenon_L668_ *) % 1.21/1.38 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf3 zenon_H235 zenon_He0 zenon_H183 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H217 zenon_H10a zenon_H1d4 zenon_H209 zenon_H1a5 zenon_H18b zenon_H290 zenon_H197 zenon_Hc4 zenon_Hca zenon_Heb zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H122 zenon_H23e zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H16f zenon_Hec zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_Hc3 zenon_H5 zenon_H1f7 zenon_Hed zenon_H46 zenon_Hf4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.38 apply (zenon_L477_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_L560_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L598_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_L668_); trivial. % 1.21/1.38 apply (zenon_L483_); trivial. % 1.21/1.38 (* end of lemma zenon_L669_ *) % 1.21/1.38 assert (zenon_L670_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H235 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H87 zenon_H88 zenon_H89 zenon_H110 zenon_H155 zenon_Hed. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L624_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L639_); trivial. % 1.21/1.38 apply (zenon_L623_); trivial. % 1.21/1.38 (* end of lemma zenon_L670_ *) % 1.21/1.38 assert (zenon_L671_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H147 zenon_H4b zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H235 zenon_H1a5 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H290 zenon_H1 zenon_H22e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H197 zenon_H2fb zenon_H1b zenon_Hca zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H16f zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H110 zenon_H155 zenon_Hed zenon_Ha3 zenon_Hac zenon_H3e zenon_H46 zenon_Hf4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L559_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.38 apply (zenon_L624_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.38 apply (zenon_L118_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.38 apply (zenon_L456_); trivial. % 1.21/1.38 apply (zenon_L177_); trivial. % 1.21/1.38 apply (zenon_L458_); trivial. % 1.21/1.38 apply (zenon_L623_); trivial. % 1.21/1.38 apply (zenon_L204_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.38 apply (zenon_L598_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.38 apply (zenon_L670_); trivial. % 1.21/1.38 apply (zenon_L204_); trivial. % 1.21/1.38 (* end of lemma zenon_L671_ *) % 1.21/1.38 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf5 zenon_H235 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d0 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.39 apply (zenon_L402_); trivial. % 1.21/1.39 apply (zenon_L665_); trivial. % 1.21/1.39 (* end of lemma zenon_L672_ *) % 1.21/1.39 assert (zenon_L673_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf3 zenon_H235 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d0 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H217 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L8_); trivial. % 1.21/1.39 apply (zenon_L672_); trivial. % 1.21/1.39 (* end of lemma zenon_L673_ *) % 1.21/1.39 assert (zenon_L674_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H123 zenon_H201 zenon_Hf4 zenon_H46 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H3e zenon_H1b2 zenon_H110 zenon_H16f zenon_H290 zenon_H147 zenon_H4b zenon_H122 zenon_Hac zenon_H155 zenon_H17 zenon_H3 zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H10a zenon_H217 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H71 zenon_H235 zenon_Hf3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L673_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L8_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L598_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L670_); trivial. % 1.21/1.39 apply (zenon_L475_); trivial. % 1.21/1.39 (* end of lemma zenon_L674_ *) % 1.21/1.39 assert (zenon_L675_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.39 apply (zenon_L442_); trivial. % 1.21/1.39 apply (zenon_L234_); trivial. % 1.21/1.39 (* end of lemma zenon_L675_ *) % 1.21/1.39 assert (zenon_L676_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_H1d0 zenon_H1 zenon_He6 zenon_H1b zenon_H21a zenon_He7 zenon_H21c zenon_Hec zenon_Hca zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L675_); trivial. % 1.21/1.39 apply (zenon_L171_); trivial. % 1.21/1.39 (* end of lemma zenon_L676_ *) % 1.21/1.39 assert (zenon_L677_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L675_); trivial. % 1.21/1.39 apply (zenon_L204_); trivial. % 1.21/1.39 (* end of lemma zenon_L677_ *) % 1.21/1.39 assert (zenon_L678_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H204 zenon_H1f7 zenon_H1f8 zenon_H1f9 zenon_H1d4 zenon_H161 zenon_H160 zenon_H15e zenon_H1d2 zenon_H201 zenon_Hf4 zenon_Hed zenon_H18b zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3 zenon_H3e zenon_Hac zenon_Ha3 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H21a zenon_H1b zenon_He6 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H1b2 zenon_H1c1 zenon_H1c5 zenon_H127. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L676_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L131_); trivial. % 1.21/1.39 apply (zenon_L677_); trivial. % 1.21/1.39 apply (zenon_L138_); trivial. % 1.21/1.39 apply (zenon_L152_); trivial. % 1.21/1.39 (* end of lemma zenon_L678_ *) % 1.21/1.39 assert (zenon_L679_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H201 zenon_Hf4 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_Hac zenon_Ha3 zenon_H1f zenon_H12a zenon_H113 zenon_H112 zenon_H122 zenon_H3e zenon_H3 zenon_H290 zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H21a zenon_H1b zenon_He6 zenon_H1 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L676_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L274_); trivial. % 1.21/1.39 apply (zenon_L677_); trivial. % 1.21/1.39 (* end of lemma zenon_L679_ *) % 1.21/1.39 assert (zenon_L680_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hca zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H19 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L121_); trivial. % 1.21/1.39 apply (zenon_L498_); trivial. % 1.21/1.39 (* end of lemma zenon_L680_ *) % 1.21/1.39 assert (zenon_L681_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Heb zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H19 zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_Hca. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.39 apply (zenon_L680_); trivial. % 1.21/1.39 apply (zenon_L663_); trivial. % 1.21/1.39 (* end of lemma zenon_L681_ *) % 1.21/1.39 assert (zenon_L682_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H235 zenon_H1d0 zenon_H1d2 zenon_H12a zenon_H21c zenon_Hca zenon_H155 zenon_Hac zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_Hed zenon_Heb. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L681_); trivial. % 1.21/1.39 apply (zenon_L666_); trivial. % 1.21/1.39 (* end of lemma zenon_L682_ *) % 1.21/1.39 assert (zenon_L683_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf3 zenon_H46 zenon_H235 zenon_H1d0 zenon_H1d2 zenon_H12a zenon_H21c zenon_Hca zenon_H155 zenon_Hac zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_Hed zenon_Heb zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L8_); trivial. % 1.21/1.39 apply (zenon_L682_); trivial. % 1.21/1.39 (* end of lemma zenon_L683_ *) % 1.21/1.39 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(c2_1 (a2194))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H232 zenon_Hed zenon_H122 zenon_H1d zenon_H13c zenon_H13d zenon_H13e zenon_H5a zenon_H18b zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L639_); trivial. % 1.21/1.39 apply (zenon_L435_); trivial. % 1.21/1.39 (* end of lemma zenon_L684_ *) % 1.21/1.39 assert (zenon_L685_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H46 zenon_H235 zenon_Hed zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_H76 zenon_H65 zenon_H71 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H122 zenon_H1d zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L638_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.39 apply (zenon_L270_); trivial. % 1.21/1.39 apply (zenon_L684_); trivial. % 1.21/1.39 (* end of lemma zenon_L685_ *) % 1.21/1.39 assert (zenon_L686_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hed zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_H5 zenon_Hc3 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.39 apply (zenon_L270_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L639_); trivial. % 1.21/1.39 apply (zenon_L482_); trivial. % 1.21/1.39 (* end of lemma zenon_L686_ *) % 1.21/1.39 assert (zenon_L687_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf3 zenon_Hca zenon_Hc4 zenon_H197 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5 zenon_Heb zenon_H122 zenon_H21c zenon_H12a zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H290 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H235 zenon_H23e zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H16f zenon_Hec zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_Hc3 zenon_H5 zenon_H1f7 zenon_Hed zenon_H46 zenon_Hf4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L477_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L560_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L685_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L681_); trivial. % 1.21/1.39 apply (zenon_L686_); trivial. % 1.21/1.39 (* end of lemma zenon_L687_ *) % 1.21/1.39 assert (zenon_L688_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3 zenon_H3e zenon_Hac zenon_H1d8 zenon_Ha3 zenon_Hec zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hca zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L559_); trivial. % 1.21/1.39 apply (zenon_L205_); trivial. % 1.21/1.39 (* end of lemma zenon_L688_ *) % 1.21/1.39 assert (zenon_L689_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H201 zenon_Hf3 zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H218 zenon_H1 zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H197 zenon_H1a5 zenon_He7 zenon_Hf4. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L173_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L688_); trivial. % 1.21/1.39 apply (zenon_L222_); trivial. % 1.21/1.39 (* end of lemma zenon_L689_ *) % 1.21/1.39 assert (zenon_L690_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H1c5 zenon_H75 zenon_Hac zenon_H1c1 zenon_H1be zenon_Ha3 zenon_H76 zenon_H65 zenon_H3e zenon_H1b2 zenon_H1a5 zenon_He6 zenon_H1b zenon_H12e zenon_H12d zenon_H12c zenon_H197 zenon_H110 zenon_Hca zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.39 apply (zenon_L8_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.39 apply (zenon_L75_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.39 apply (zenon_L124_); trivial. % 1.21/1.39 apply (zenon_L475_); trivial. % 1.21/1.39 (* end of lemma zenon_L690_ *) % 1.21/1.39 assert (zenon_L691_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H156 zenon_H204 zenon_H1f7 zenon_H201 zenon_Hf3 zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_H209 zenon_H218 zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H197 zenon_H1a5 zenon_He7 zenon_Hf4 zenon_H1d2 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H17 zenon_H1b2 zenon_H1c1 zenon_H1c5 zenon_H127. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.39 apply (zenon_L689_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.39 apply (zenon_L673_); trivial. % 1.21/1.39 apply (zenon_L690_); trivial. % 1.21/1.39 apply (zenon_L629_); trivial. % 1.21/1.39 (* end of lemma zenon_L691_ *) % 1.21/1.39 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp14)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1a2 zenon_Hc3 zenon_H1d0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.21/1.39 apply (zenon_L492_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.21/1.39 apply (zenon_L46_); trivial. % 1.21/1.39 exact (zenon_H5 zenon_H6). % 1.21/1.39 (* end of lemma zenon_L692_ *) % 1.21/1.39 assert (zenon_L693_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1a5 zenon_Hc3 zenon_H5 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d0 zenon_H1d2 zenon_H47 zenon_H19 zenon_H197. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.39 apply (zenon_L118_); trivial. % 1.21/1.39 apply (zenon_L692_); trivial. % 1.21/1.39 (* end of lemma zenon_L693_ *) % 1.21/1.39 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc2 zenon_H75 zenon_H3e zenon_H3 zenon_Hc3 zenon_H5 zenon_Hba zenon_Hb9 zenon_Hbb zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_He7 zenon_H2c zenon_H2b zenon_H2a zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.39 apply (zenon_L50_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.21/1.39 apply (zenon_L17_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.21/1.39 apply (zenon_L54_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.21/1.39 apply (zenon_L236_); trivial. % 1.21/1.39 apply (zenon_L32_); trivial. % 1.21/1.39 exact (zenon_H3 zenon_H4). % 1.21/1.39 (* end of lemma zenon_L694_ *) % 1.21/1.39 assert (zenon_L695_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H75 zenon_H3e zenon_H3 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_He7 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.39 apply (zenon_L16_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L693_); trivial. % 1.21/1.39 apply (zenon_L694_); trivial. % 1.21/1.39 (* end of lemma zenon_L695_ *) % 1.21/1.39 assert (zenon_L696_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hed zenon_H43 zenon_Hca zenon_H75 zenon_H3e zenon_H3 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_He7 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H1d2 zenon_H1d0 zenon_Hc3 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L467_); trivial. % 1.21/1.39 apply (zenon_L695_); trivial. % 1.21/1.39 (* end of lemma zenon_L696_ *) % 1.21/1.39 assert (zenon_L697_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> False). % 1.21/1.39 do 0 intro. intros zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H15e zenon_H171 zenon_H161. % 1.21/1.39 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.39 apply (zenon_L35_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.39 apply (zenon_L186_); trivial. % 1.21/1.39 apply (zenon_L101_); trivial. % 1.21/1.39 (* end of lemma zenon_L697_ *) % 1.21/1.39 assert (zenon_L698_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp14)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H161 zenon_H171 zenon_H15e zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H78 zenon_H79 zenon_H7b zenon_He0 zenon_H1d0. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.21/1.39 apply (zenon_L441_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.21/1.39 apply (zenon_L697_); trivial. % 1.21/1.39 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.39 (* end of lemma zenon_L698_ *) % 1.21/1.39 assert (zenon_L699_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hac zenon_H1d0 zenon_He0 zenon_H7b zenon_H79 zenon_H227 zenon_H226 zenon_H225 zenon_H15e zenon_H171 zenon_H161 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2 zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.39 apply (zenon_L698_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.39 apply (zenon_L41_); trivial. % 1.21/1.39 apply (zenon_L87_); trivial. % 1.21/1.39 (* end of lemma zenon_L699_ *) % 1.21/1.39 assert (zenon_L700_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H1d2 zenon_H1d0 zenon_H225 zenon_H226 zenon_H227 zenon_H15e zenon_H161 zenon_He0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.39 apply (zenon_L442_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.39 apply (zenon_L17_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.39 apply (zenon_L699_); trivial. % 1.21/1.39 apply (zenon_L225_); trivial. % 1.21/1.39 (* end of lemma zenon_L700_ *) % 1.21/1.39 assert (zenon_L701_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Heb zenon_H235 zenon_H183 zenon_H15e zenon_H161 zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_H27 zenon_H23 zenon_H21 zenon_Hc3 zenon_H76 zenon_H65 zenon_He7 zenon_H26d zenon_H26c zenon_H26b zenon_He0 zenon_H3 zenon_H3e zenon_H75 zenon_H43 zenon_Hed zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H19 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.39 apply (zenon_L499_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.39 apply (zenon_L696_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.39 apply (zenon_L16_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L494_); trivial. % 1.21/1.39 apply (zenon_L700_); trivial. % 1.21/1.39 (* end of lemma zenon_L701_ *) % 1.21/1.39 assert (zenon_L702_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc3 zenon_H161 zenon_H171 zenon_H15e zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.21/1.39 apply (zenon_L697_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.21/1.39 apply (zenon_L46_); trivial. % 1.21/1.39 exact (zenon_H5 zenon_H6). % 1.21/1.39 (* end of lemma zenon_L702_ *) % 1.21/1.39 assert (zenon_L703_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H225 zenon_H226 zenon_H227 zenon_H15e zenon_H161 zenon_He0 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H5 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H155 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.39 apply (zenon_L16_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L542_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.39 apply (zenon_L442_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.39 apply (zenon_L521_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.39 apply (zenon_L17_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.39 apply (zenon_L478_); trivial. % 1.21/1.39 apply (zenon_L702_); trivial. % 1.21/1.39 apply (zenon_L225_); trivial. % 1.21/1.39 (* end of lemma zenon_L703_ *) % 1.21/1.39 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H232 zenon_Hed zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H15e zenon_H161 zenon_He0 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H16f zenon_Hc3 zenon_H5 zenon_Hac zenon_H5a zenon_H155 zenon_H27 zenon_H23 zenon_H21 zenon_H1a5 zenon_H290 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1 zenon_H22e zenon_H19 zenon_H197 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H301 zenon_H303 zenon_Hec zenon_Hca zenon_H43. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L530_); trivial. % 1.21/1.39 apply (zenon_L703_); trivial. % 1.21/1.39 (* end of lemma zenon_L704_ *) % 1.21/1.39 assert (zenon_L705_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H75 zenon_H3e zenon_H3 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_He7 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H5 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H155 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.21/1.39 apply (zenon_L16_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L542_); trivial. % 1.21/1.39 apply (zenon_L694_); trivial. % 1.21/1.39 (* end of lemma zenon_L705_ *) % 1.21/1.39 assert (zenon_L706_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hed zenon_H43 zenon_Hca zenon_H75 zenon_H3e zenon_H3 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_He7 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_Hc3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L467_); trivial. % 1.21/1.39 apply (zenon_L705_); trivial. % 1.21/1.39 (* end of lemma zenon_L706_ *) % 1.21/1.39 assert (zenon_L707_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hab zenon_H155 zenon_H290 zenon_H52 zenon_H50 zenon_H5a zenon_H19b zenon_H199 zenon_H19a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.39 apply (zenon_L442_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.39 apply (zenon_L201_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.39 apply (zenon_L532_); trivial. % 1.21/1.39 apply (zenon_L522_); trivial. % 1.21/1.39 (* end of lemma zenon_L707_ *) % 1.21/1.39 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c2_1 (a2194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_H155 zenon_H5a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2c zenon_H2b zenon_H2a zenon_H75. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.39 apply (zenon_L460_); trivial. % 1.21/1.39 apply (zenon_L707_); trivial. % 1.21/1.39 (* end of lemma zenon_L708_ *) % 1.21/1.39 assert (zenon_L709_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c2_1 (a2194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_H155 zenon_H5a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2c zenon_H2b zenon_H2a zenon_H75 zenon_H47 zenon_H19 zenon_H197. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.21/1.39 apply (zenon_L118_); trivial. % 1.21/1.39 apply (zenon_L708_); trivial. % 1.21/1.39 (* end of lemma zenon_L709_ *) % 1.21/1.39 assert (zenon_L710_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hac zenon_H161 zenon_H171 zenon_H15e zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.39 apply (zenon_L697_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.39 apply (zenon_L41_); trivial. % 1.21/1.39 apply (zenon_L39_); trivial. % 1.21/1.39 (* end of lemma zenon_L710_ *) % 1.21/1.39 assert (zenon_L711_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2262)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hac zenon_H7b zenon_H7a zenon_H79 zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.39 apply (zenon_L35_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.39 apply (zenon_L41_); trivial. % 1.21/1.39 apply (zenon_L39_); trivial. % 1.21/1.39 (* end of lemma zenon_L711_ *) % 1.21/1.39 assert (zenon_L712_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H42 zenon_H235 zenon_H22e zenon_H1 zenon_H26b zenon_H26c zenon_H26d zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H22f zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.39 apply (zenon_L270_); trivial. % 1.21/1.39 apply (zenon_L318_); trivial. % 1.21/1.39 (* end of lemma zenon_L712_ *) % 1.21/1.39 assert (zenon_L713_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H235 zenon_H22e zenon_H1 zenon_H26b zenon_H26c zenon_H26d zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H22f zenon_H12a zenon_H21c zenon_H16f zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L559_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L490_); trivial. % 1.21/1.40 apply (zenon_L712_); trivial. % 1.21/1.40 (* end of lemma zenon_L713_ *) % 1.21/1.40 assert (zenon_L714_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H156 zenon_H12b zenon_H204 zenon_H1f7 zenon_H2ff zenon_H17 zenon_Ha3 zenon_H21c zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H22e zenon_H235 zenon_H10a zenon_H122 zenon_H1b2 zenon_H76 zenon_H1c1 zenon_H75 zenon_H1c5 zenon_H127 zenon_Hf4 zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H16f zenon_H10e zenon_H65 zenon_H110 zenon_H155 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Hac zenon_Hf3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.21/1.40 apply (zenon_L571_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_L713_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L569_); trivial. % 1.21/1.40 apply (zenon_L712_); trivial. % 1.21/1.40 apply (zenon_L216_); trivial. % 1.21/1.40 apply (zenon_L629_); trivial. % 1.21/1.40 (* end of lemma zenon_L714_ *) % 1.21/1.40 assert (zenon_L715_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H2ff zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H227 zenon_H226 zenon_H225 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_Ha zenon_H1d6 zenon_H78 zenon_H1d7 zenon_H1d8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.40 apply (zenon_L98_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.40 apply (zenon_L237_); trivial. % 1.21/1.40 apply (zenon_L144_); trivial. % 1.21/1.40 (* end of lemma zenon_L715_ *) % 1.21/1.40 assert (zenon_L716_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H232 zenon_H22e zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H16d zenon_H161 zenon_H160 zenon_H15e zenon_H10c zenon_H5 zenon_H2ff zenon_H1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.40 apply (zenon_L715_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.40 apply (zenon_L165_); trivial. % 1.21/1.40 exact (zenon_H1 zenon_H2). % 1.21/1.40 (* end of lemma zenon_L716_ *) % 1.21/1.40 assert (zenon_L717_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1f8 zenon_H35 zenon_H36 zenon_H34 zenon_Hf8 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H5 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.40 apply (zenon_L147_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.40 apply (zenon_L128_); trivial. % 1.21/1.40 exact (zenon_H10c zenon_H10d). % 1.21/1.40 (* end of lemma zenon_L717_ *) % 1.21/1.40 assert (zenon_L718_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H232 zenon_H110 zenon_H10c zenon_H16d zenon_H13e zenon_H13d zenon_H13c zenon_H5 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H34 zenon_H36 zenon_H35 zenon_H1f8 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H87 zenon_H88 zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.21/1.40 apply (zenon_L717_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.21/1.40 apply (zenon_L237_); trivial. % 1.21/1.40 apply (zenon_L36_); trivial. % 1.21/1.40 (* end of lemma zenon_L718_ *) % 1.21/1.40 assert (zenon_L719_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H42 zenon_H235 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.40 apply (zenon_L156_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.21/1.40 apply (zenon_L717_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.21/1.40 apply (zenon_L157_); trivial. % 1.21/1.40 exact (zenon_H3 zenon_H4). % 1.21/1.40 apply (zenon_L574_); trivial. % 1.21/1.40 apply (zenon_L718_); trivial. % 1.21/1.40 (* end of lemma zenon_L719_ *) % 1.21/1.40 assert (zenon_L720_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H110 zenon_H10a zenon_H3 zenon_Ha3 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H1f8 zenon_H217 zenon_H2ff zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H15e zenon_H160 zenon_H161 zenon_H1 zenon_H22e zenon_H235 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L131_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L575_); trivial. % 1.21/1.40 apply (zenon_L716_); trivial. % 1.21/1.40 apply (zenon_L719_); trivial. % 1.21/1.40 (* end of lemma zenon_L720_ *) % 1.21/1.40 assert (zenon_L721_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp17)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H214 zenon_H183 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1f8 zenon_H19 zenon_H1d4 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H1f9 zenon_H5 zenon_H10c zenon_H15e zenon_H161 zenon_H16d zenon_H26b zenon_H26c zenon_H26d. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.40 apply (zenon_L383_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.40 apply (zenon_L148_); trivial. % 1.21/1.40 exact (zenon_H10c zenon_H10d). % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.40 apply (zenon_L255_); trivial. % 1.21/1.40 exact (zenon_H10c zenon_H10d). % 1.21/1.40 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.40 apply (zenon_L102_); trivial. % 1.21/1.40 apply (zenon_L225_); trivial. % 1.21/1.40 (* end of lemma zenon_L721_ *) % 1.21/1.40 assert (zenon_L722_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H205 zenon_H1f9 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H5 zenon_H19 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H10c zenon_H1f8 zenon_H16d zenon_H161 zenon_H15e zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H217. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.21/1.40 apply (zenon_L156_); trivial. % 1.21/1.40 apply (zenon_L721_); trivial. % 1.21/1.40 apply (zenon_L446_); trivial. % 1.21/1.40 (* end of lemma zenon_L722_ *) % 1.21/1.40 assert (zenon_L723_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36))))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1f8 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H225 zenon_H226 zenon_H227 zenon_H16d zenon_H161 zenon_H160 zenon_H15e zenon_H5 zenon_H2ff zenon_H1c9 zenon_H1c8 zenon_H1eb zenon_H1c7 zenon_Ha zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.21/1.40 apply (zenon_L715_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.21/1.40 apply (zenon_L148_); trivial. % 1.21/1.40 exact (zenon_H10c zenon_H10d). % 1.21/1.40 (* end of lemma zenon_L723_ *) % 1.21/1.40 assert (zenon_L724_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H204 zenon_H183 zenon_H201 zenon_H10a zenon_H3 zenon_Ha3 zenon_H26b zenon_H26c zenon_H26d zenon_H122 zenon_Hf4 zenon_H46 zenon_H110 zenon_H2cd zenon_H2ff zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H5 zenon_H16d zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H217 zenon_H218 zenon_H2fb zenon_H1b zenon_H22e zenon_Hca zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Heb zenon_H318 zenon_H18b zenon_H1a5 zenon_H1d2 zenon_H197 zenon_He0 zenon_H1c5 zenon_H1c1 zenon_H30e zenon_H1f9 zenon_H16f zenon_Hac zenon_Hec zenon_H303 zenon_H71 zenon_H15e zenon_H160 zenon_H161 zenon_H1ae zenon_H22f zenon_Hf3 zenon_H1b2 zenon_H127. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.40 apply (zenon_L661_); trivial. % 1.21/1.40 apply (zenon_L720_); trivial. % 1.21/1.40 apply (zenon_L138_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.40 apply (zenon_L477_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L131_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L722_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.21/1.40 apply (zenon_L723_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.21/1.40 apply (zenon_L255_); trivial. % 1.21/1.40 exact (zenon_H10c zenon_H10d). % 1.21/1.40 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.21/1.40 apply (zenon_L102_); trivial. % 1.21/1.40 apply (zenon_L225_); trivial. % 1.21/1.40 apply (zenon_L719_); trivial. % 1.21/1.40 (* end of lemma zenon_L724_ *) % 1.21/1.40 assert (zenon_L725_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp12)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1c0 zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_Hcf zenon_Hce zenon_Hcd zenon_H1c1 zenon_H13e zenon_H13d zenon_H13c zenon_H1be. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.40 apply (zenon_L225_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.40 apply (zenon_L49_); trivial. % 1.21/1.40 apply (zenon_L587_); trivial. % 1.21/1.40 (* end of lemma zenon_L725_ *) % 1.21/1.40 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hf0 zenon_H1c5 zenon_He0 zenon_H13c zenon_H13d zenon_H13e zenon_H1be zenon_H1c1 zenon_H26d zenon_H26c zenon_H26b zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.40 apply (zenon_L133_); trivial. % 1.21/1.40 apply (zenon_L725_); trivial. % 1.21/1.40 (* end of lemma zenon_L726_ *) % 1.21/1.40 assert (zenon_L727_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H126 zenon_H204 zenon_Hc3 zenon_H1f7 zenon_H201 zenon_H3e zenon_H10a zenon_H290 zenon_H122 zenon_Hf4 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H218 zenon_H21c zenon_H1b zenon_H1f zenon_Heb zenon_H71 zenon_Hec zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_H76 zenon_H65 zenon_H18b zenon_H75 zenon_Hed zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H16f zenon_H197 zenon_Hc4 zenon_Hf3 zenon_H1b2 zenon_H26b zenon_H26c zenon_H26d zenon_H1c1 zenon_He0 zenon_H1c5 zenon_H127. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.40 apply (zenon_L615_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_L601_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L617_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.40 apply (zenon_L499_); trivial. % 1.21/1.40 apply (zenon_L726_); trivial. % 1.21/1.40 apply (zenon_L550_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_L8_); trivial. % 1.21/1.40 apply (zenon_L614_); trivial. % 1.21/1.40 apply (zenon_L618_); trivial. % 1.21/1.40 (* end of lemma zenon_L727_ *) % 1.21/1.40 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H235 zenon_H22e zenon_H1 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H209 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H18b zenon_H110 zenon_H155 zenon_Hed zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L75_); trivial. % 1.21/1.40 apply (zenon_L319_); trivial. % 1.21/1.40 (* end of lemma zenon_L728_ *) % 1.21/1.40 assert (zenon_L729_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2188)) -> (c1_1 (a2188)) -> (c0_1 (a2188)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.40 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H52 zenon_H50 zenon_H5a zenon_H102 zenon_H1c1 zenon_H13e zenon_H13d zenon_H13c zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha zenon_H1be. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.40 apply (zenon_L225_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.40 apply (zenon_L73_); trivial. % 1.21/1.40 apply (zenon_L587_); trivial. % 1.21/1.40 (* end of lemma zenon_L729_ *) % 1.21/1.40 assert (zenon_L730_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp12)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp0)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1c0 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1be zenon_H13c zenon_H13d zenon_H13e zenon_H1c1 zenon_H5a zenon_H50 zenon_H52 zenon_H26b zenon_H26c zenon_H26d zenon_He0 zenon_H3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.21/1.40 apply (zenon_L60_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.21/1.40 apply (zenon_L729_); trivial. % 1.21/1.40 exact (zenon_H3 zenon_H4). % 1.21/1.40 (* end of lemma zenon_L730_ *) % 1.21/1.40 assert (zenon_L731_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H1c5 zenon_H26b zenon_H26c zenon_H26d zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H1b2 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_H3 zenon_H17. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_L8_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L75_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.40 apply (zenon_L133_); trivial. % 1.21/1.40 apply (zenon_L730_); trivial. % 1.21/1.40 (* end of lemma zenon_L731_ *) % 1.21/1.40 assert (zenon_L732_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H156 zenon_H204 zenon_H1f7 zenon_Hf3 zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hed zenon_H155 zenon_H110 zenon_H18b zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H22e zenon_H235 zenon_Hf4 zenon_H17 zenon_H1b2 zenon_He0 zenon_H1c1 zenon_H1c5 zenon_H127. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L559_); trivial. % 1.21/1.40 apply (zenon_L319_); trivial. % 1.21/1.40 apply (zenon_L728_); trivial. % 1.21/1.40 apply (zenon_L731_); trivial. % 1.21/1.40 apply (zenon_L629_); trivial. % 1.21/1.40 (* end of lemma zenon_L732_ *) % 1.21/1.40 assert (zenon_L733_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H70 zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H227 zenon_H226 zenon_H225 zenon_H26b zenon_H26c zenon_H26d zenon_H22f. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.21/1.40 apply (zenon_L80_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.21/1.40 apply (zenon_L237_); trivial. % 1.21/1.40 apply (zenon_L32_); trivial. % 1.21/1.40 (* end of lemma zenon_L733_ *) % 1.21/1.40 assert (zenon_L734_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H46 zenon_H235 zenon_H75 zenon_He7 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H12e zenon_H12d zenon_H12c zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1d zenon_H1f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L12_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L270_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.40 apply (zenon_L447_); trivial. % 1.21/1.40 apply (zenon_L733_); trivial. % 1.21/1.40 (* end of lemma zenon_L734_ *) % 1.21/1.40 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hed zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H87 zenon_H88 zenon_H89 zenon_H18b zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_Ha3 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L270_); trivial. % 1.21/1.40 apply (zenon_L606_); trivial. % 1.21/1.40 (* end of lemma zenon_L735_ *) % 1.21/1.40 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(hskp15)) -> (~(hskp0)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp27)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H152 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H17 zenon_H113 zenon_H112 zenon_H15 zenon_H3 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H5f. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.21/1.40 apply (zenon_L80_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.21/1.40 apply (zenon_L488_); trivial. % 1.21/1.40 exact (zenon_H5f zenon_H60). % 1.21/1.40 (* end of lemma zenon_L736_ *) % 1.21/1.40 assert (zenon_L737_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp0)) -> (~(hskp15)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hab zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H3 zenon_H15 zenon_H112 zenon_H113 zenon_H17. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.40 apply (zenon_L36_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.40 apply (zenon_L486_); trivial. % 1.21/1.40 apply (zenon_L38_); trivial. % 1.21/1.40 (* end of lemma zenon_L737_ *) % 1.21/1.40 assert (zenon_L738_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hec zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H112 zenon_H113 zenon_H15 zenon_H3 zenon_H17 zenon_H89 zenon_H88 zenon_H87 zenon_H21a zenon_H155. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.40 apply (zenon_L442_); trivial. % 1.21/1.40 apply (zenon_L736_); trivial. % 1.21/1.40 apply (zenon_L737_); trivial. % 1.21/1.40 (* end of lemma zenon_L738_ *) % 1.21/1.40 assert (zenon_L739_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H3e zenon_Hac zenon_H1d8 zenon_H155 zenon_H21a zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H16f zenon_Hec zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L559_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L738_); trivial. % 1.21/1.40 apply (zenon_L204_); trivial. % 1.21/1.40 (* end of lemma zenon_L739_ *) % 1.21/1.40 assert (zenon_L740_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hec zenon_H3e zenon_H3 zenon_H36 zenon_H35 zenon_H34 zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.40 apply (zenon_L405_); trivial. % 1.21/1.40 apply (zenon_L202_); trivial. % 1.21/1.40 (* end of lemma zenon_L740_ *) % 1.21/1.40 assert (zenon_L741_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H42 zenon_H235 zenon_Hed zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_H3 zenon_H3e zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L270_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.40 apply (zenon_L740_); trivial. % 1.21/1.40 apply (zenon_L482_); trivial. % 1.21/1.40 (* end of lemma zenon_L741_ *) % 1.21/1.40 assert (zenon_L742_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_Hb0 zenon_H149 zenon_H14a zenon_H14b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.40 apply (zenon_L36_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.40 apply (zenon_L242_); trivial. % 1.21/1.40 apply (zenon_L487_); trivial. % 1.21/1.40 (* end of lemma zenon_L742_ *) % 1.21/1.40 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H152 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H27f zenon_H280 zenon_H281. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.40 apply (zenon_L441_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.40 apply (zenon_L742_); trivial. % 1.21/1.40 apply (zenon_L242_); trivial. % 1.21/1.40 (* end of lemma zenon_L743_ *) % 1.21/1.40 assert (zenon_L744_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H155 zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.40 apply (zenon_L442_); trivial. % 1.21/1.40 apply (zenon_L743_); trivial. % 1.21/1.40 (* end of lemma zenon_L744_ *) % 1.21/1.40 assert (zenon_L745_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hea zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L744_); trivial. % 1.21/1.40 apply (zenon_L20_); trivial. % 1.21/1.40 (* end of lemma zenon_L745_ *) % 1.21/1.40 assert (zenon_L746_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H204 zenon_H290 zenon_Hf4 zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H2ff zenon_H155 zenon_Ha zenon_H27f zenon_H280 zenon_H281 zenon_H11e zenon_H1b zenon_H1f zenon_H1b2 zenon_H65 zenon_H76 zenon_H1c1 zenon_H75 zenon_H1c5 zenon_H127. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L254_); trivial. % 1.21/1.40 apply (zenon_L745_); trivial. % 1.21/1.40 apply (zenon_L249_); trivial. % 1.21/1.40 apply (zenon_L251_); trivial. % 1.21/1.40 (* end of lemma zenon_L746_ *) % 1.21/1.40 assert (zenon_L747_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H7b zenon_Hb1 zenon_H79 zenon_H78 zenon_Ha zenon_H27f zenon_H280 zenon_H281. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.40 apply (zenon_L441_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.40 apply (zenon_L44_); trivial. % 1.21/1.40 apply (zenon_L242_); trivial. % 1.21/1.40 (* end of lemma zenon_L747_ *) % 1.21/1.40 assert (zenon_L748_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hc2 zenon_H22e zenon_H281 zenon_H280 zenon_H27f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.40 apply (zenon_L747_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.40 apply (zenon_L165_); trivial. % 1.21/1.40 exact (zenon_H1 zenon_H2). % 1.21/1.40 (* end of lemma zenon_L748_ *) % 1.21/1.40 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H232 zenon_Hca zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H1 zenon_H1d0 zenon_H218. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.40 apply (zenon_L160_); trivial. % 1.21/1.40 apply (zenon_L748_); trivial. % 1.21/1.40 (* end of lemma zenon_L749_ *) % 1.21/1.40 assert (zenon_L750_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H235 zenon_Hca zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L575_); trivial. % 1.21/1.40 apply (zenon_L749_); trivial. % 1.21/1.40 (* end of lemma zenon_L750_ *) % 1.21/1.40 assert (zenon_L751_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hf3 zenon_H16f zenon_H71 zenon_H303 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_He0 zenon_H30e zenon_H197 zenon_H1f9 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H18b zenon_H318 zenon_H1ae zenon_H122 zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_Hca zenon_H22e zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2cd zenon_H1be zenon_H110 zenon_H46 zenon_Hf4. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L559_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L750_); trivial. % 1.21/1.40 apply (zenon_L580_); trivial. % 1.21/1.40 apply (zenon_L594_); trivial. % 1.21/1.40 (* end of lemma zenon_L751_ *) % 1.21/1.40 assert (zenon_L752_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H14b zenon_H14a zenon_H149 zenon_H27f zenon_H280 zenon_H281 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_Ha zenon_H1d6 zenon_H78 zenon_H1d7 zenon_H1d8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.21/1.40 apply (zenon_L441_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.21/1.40 apply (zenon_L742_); trivial. % 1.21/1.40 apply (zenon_L144_); trivial. % 1.21/1.40 (* end of lemma zenon_L752_ *) % 1.21/1.40 assert (zenon_L753_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H152 zenon_H22e zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.40 apply (zenon_L752_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.40 apply (zenon_L165_); trivial. % 1.21/1.40 exact (zenon_H1 zenon_H2). % 1.21/1.40 (* end of lemma zenon_L753_ *) % 1.21/1.40 assert (zenon_L754_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H232 zenon_H155 zenon_H22e zenon_H1 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.40 apply (zenon_L442_); trivial. % 1.21/1.40 apply (zenon_L753_); trivial. % 1.21/1.40 (* end of lemma zenon_L754_ *) % 1.21/1.40 assert (zenon_L755_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H235 zenon_H22e zenon_H1 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.40 apply (zenon_L453_); trivial. % 1.21/1.40 apply (zenon_L754_); trivial. % 1.21/1.40 (* end of lemma zenon_L755_ *) % 1.21/1.40 assert (zenon_L756_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hea zenon_H46 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3e zenon_Hec zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_H2ff zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H1 zenon_H22e zenon_H235. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.40 apply (zenon_L755_); trivial. % 1.21/1.40 apply (zenon_L204_); trivial. % 1.21/1.40 (* end of lemma zenon_L756_ *) % 1.21/1.40 assert (zenon_L757_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3e zenon_Hec zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_H2ff zenon_Ha3 zenon_H22e zenon_H235 zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L254_); trivial. % 1.21/1.40 apply (zenon_L756_); trivial. % 1.21/1.40 (* end of lemma zenon_L757_ *) % 1.21/1.40 assert (zenon_L758_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H1b2 zenon_Hf3 zenon_H16f zenon_H71 zenon_H303 zenon_Hec zenon_H1c5 zenon_H1c1 zenon_He0 zenon_H30e zenon_H197 zenon_H1f9 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H18b zenon_H318 zenon_H1ae zenon_H122 zenon_Heb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_Hca zenon_H22e zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H218 zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2cd zenon_H1be zenon_H110 zenon_H46 zenon_Hf4 zenon_H11e zenon_Ha3 zenon_H10a zenon_H3 zenon_H3e zenon_H65 zenon_H76 zenon_H75 zenon_H201. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L751_); trivial. % 1.21/1.41 apply (zenon_L757_); trivial. % 1.21/1.41 apply (zenon_L138_); trivial. % 1.21/1.41 (* end of lemma zenon_L758_ *) % 1.21/1.41 assert (zenon_L759_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf4 zenon_H46 zenon_Hed zenon_H1f7 zenon_Hc3 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H3 zenon_H3e zenon_Hac zenon_Hec zenon_H16f zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L477_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L131_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_L483_); trivial. % 1.21/1.41 (* end of lemma zenon_L759_ *) % 1.21/1.41 assert (zenon_L760_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hec zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H1d2 zenon_H1d0 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H61 zenon_H71 zenon_H75. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.41 apply (zenon_L448_); trivial. % 1.21/1.41 apply (zenon_L264_); trivial. % 1.21/1.41 (* end of lemma zenon_L760_ *) % 1.21/1.41 assert (zenon_L761_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> False). % 1.21/1.41 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_Hf8 zenon_H34 zenon_H36 zenon_H35. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.41 apply (zenon_L36_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.41 apply (zenon_L242_); trivial. % 1.21/1.41 apply (zenon_L146_); trivial. % 1.21/1.41 (* end of lemma zenon_L761_ *) % 1.21/1.41 assert (zenon_L762_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp1)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1f7 zenon_H35 zenon_H36 zenon_H34 zenon_H27f zenon_H280 zenon_H281 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H76 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H63 zenon_H65. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.21/1.41 apply (zenon_L761_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.21/1.41 apply (zenon_L441_); trivial. % 1.21/1.41 apply (zenon_L367_); trivial. % 1.21/1.41 (* end of lemma zenon_L762_ *) % 1.21/1.41 assert (zenon_L763_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc9 zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_Ha3 zenon_H35 zenon_H36 zenon_H34 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H1f7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.41 apply (zenon_L762_); trivial. % 1.21/1.41 apply (zenon_L184_); trivial. % 1.21/1.41 (* end of lemma zenon_L763_ *) % 1.21/1.41 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H35 zenon_H36 zenon_H34 zenon_H1f7 zenon_H75 zenon_H71 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_Hec. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L760_); trivial. % 1.21/1.41 apply (zenon_L763_); trivial. % 1.21/1.41 (* end of lemma zenon_L764_ *) % 1.21/1.41 assert (zenon_L765_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hea zenon_H46 zenon_H235 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H1f7 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d0 zenon_H1d2 zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L270_); trivial. % 1.21/1.41 apply (zenon_L764_); trivial. % 1.21/1.41 (* end of lemma zenon_L765_ *) % 1.21/1.41 assert (zenon_L766_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf4 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H1f7 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_Hec zenon_H16f zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H122 zenon_H1d0 zenon_H1d2 zenon_H235 zenon_H46. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L617_); trivial. % 1.21/1.41 apply (zenon_L765_); trivial. % 1.21/1.41 (* end of lemma zenon_L766_ *) % 1.21/1.41 assert (zenon_L767_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_Ha3 zenon_H35 zenon_H36 zenon_H34 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H1f7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.41 apply (zenon_L762_); trivial. % 1.21/1.41 apply (zenon_L33_); trivial. % 1.21/1.41 (* end of lemma zenon_L767_ *) % 1.21/1.41 assert (zenon_L768_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hec zenon_H3e zenon_H3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hac zenon_H1f7 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_H34 zenon_H36 zenon_H35 zenon_Ha3 zenon_H61 zenon_H71 zenon_H75. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.21/1.41 apply (zenon_L767_); trivial. % 1.21/1.41 apply (zenon_L202_); trivial. % 1.21/1.41 (* end of lemma zenon_L768_ *) % 1.21/1.41 assert (zenon_L769_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_Ha3 zenon_H35 zenon_H36 zenon_H34 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H76 zenon_H65 zenon_H1f7 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H3 zenon_H3e zenon_Hec. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L768_); trivial. % 1.21/1.41 apply (zenon_L763_); trivial. % 1.21/1.41 (* end of lemma zenon_L769_ *) % 1.21/1.41 assert (zenon_L770_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H235 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1f7 zenon_Hac zenon_H3 zenon_H3e zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H2ff zenon_H155 zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L254_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L270_); trivial. % 1.21/1.41 apply (zenon_L769_); trivial. % 1.21/1.41 (* end of lemma zenon_L770_ *) % 1.21/1.41 assert (zenon_L771_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H42 zenon_H235 zenon_H290 zenon_H281 zenon_H280 zenon_H27f zenon_H1d6 zenon_H1d7 zenon_H1d zenon_H122 zenon_H112 zenon_H113 zenon_H12a zenon_H21c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L270_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.21/1.41 apply (zenon_L271_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.21/1.41 apply (zenon_L242_); trivial. % 1.21/1.41 apply (zenon_L272_); trivial. % 1.21/1.41 (* end of lemma zenon_L771_ *) % 1.21/1.41 assert (zenon_L772_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H46 zenon_H235 zenon_H290 zenon_H281 zenon_H280 zenon_H27f zenon_H1d6 zenon_H1d7 zenon_H122 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1d zenon_H1f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L12_); trivial. % 1.21/1.41 apply (zenon_L771_); trivial. % 1.21/1.41 (* end of lemma zenon_L772_ *) % 1.21/1.41 assert (zenon_L773_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H232 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H281 zenon_H280 zenon_H27f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1f7 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e zenon_Hec. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L740_); trivial. % 1.21/1.41 apply (zenon_L763_); trivial. % 1.21/1.41 (* end of lemma zenon_L773_ *) % 1.21/1.41 assert (zenon_L774_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hea zenon_H46 zenon_H235 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H1f7 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H52 zenon_H50 zenon_H290 zenon_Hac zenon_H1d8 zenon_H3 zenon_H3e zenon_Hec zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L270_); trivial. % 1.21/1.41 apply (zenon_L773_); trivial. % 1.21/1.41 (* end of lemma zenon_L774_ *) % 1.21/1.41 assert (zenon_L775_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_Hf4 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H1f7 zenon_H75 zenon_H76 zenon_H65 zenon_H71 zenon_Hac zenon_H3e zenon_Hec zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H2ff zenon_H155 zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H122 zenon_H27f zenon_H280 zenon_H281 zenon_H290 zenon_H235 zenon_H46 zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.41 apply (zenon_L8_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L772_); trivial. % 1.21/1.41 apply (zenon_L774_); trivial. % 1.21/1.41 (* end of lemma zenon_L775_ *) % 1.21/1.41 assert (zenon_L776_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H290 zenon_H17 zenon_Hf4 zenon_Hed zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H1f7 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_Hec zenon_H16f zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_H1f zenon_H1b zenon_H21c zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H122 zenon_H1d2 zenon_H235 zenon_H46 zenon_H11e zenon_H3e zenon_H3 zenon_Hac zenon_H201. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L766_); trivial. % 1.21/1.41 apply (zenon_L770_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L766_); trivial. % 1.21/1.41 apply (zenon_L775_); trivial. % 1.21/1.41 (* end of lemma zenon_L776_ *) % 1.21/1.41 assert (zenon_L777_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hea zenon_H46 zenon_Hca zenon_H110 zenon_H1be zenon_H2cd zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1 zenon_H1d0 zenon_H218 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_L620_); trivial. % 1.21/1.41 (* end of lemma zenon_L777_ *) % 1.21/1.41 assert (zenon_L778_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_Hca zenon_H110 zenon_H1be zenon_H2cd zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1d0 zenon_H218 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H2ff zenon_H155 zenon_Ha zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L254_); trivial. % 1.21/1.41 apply (zenon_L777_); trivial. % 1.21/1.41 (* end of lemma zenon_L778_ *) % 1.21/1.41 assert (zenon_L779_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_H76 zenon_H65 zenon_Ha3 zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L159_); trivial. % 1.21/1.41 apply (zenon_L276_); trivial. % 1.21/1.41 (* end of lemma zenon_L779_ *) % 1.21/1.41 assert (zenon_L780_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H235 zenon_H1f7 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H290 zenon_Hac zenon_H1d8 zenon_H3e zenon_Hec zenon_H217 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L75_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L779_); trivial. % 1.21/1.41 apply (zenon_L773_); trivial. % 1.21/1.41 (* end of lemma zenon_L780_ *) % 1.21/1.41 assert (zenon_L781_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H290 zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H16f zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_Hec zenon_H3e zenon_Hac zenon_H1f7 zenon_H71 zenon_H235 zenon_H46 zenon_Hf4. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L559_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L779_); trivial. % 1.21/1.41 apply (zenon_L769_); trivial. % 1.21/1.41 apply (zenon_L780_); trivial. % 1.21/1.41 (* end of lemma zenon_L781_ *) % 1.21/1.41 assert (zenon_L782_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_H1d0 zenon_H1 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_He7 zenon_H21c zenon_Hec zenon_Hca zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d4. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L143_); trivial. % 1.21/1.41 apply (zenon_L171_); trivial. % 1.21/1.41 (* end of lemma zenon_L782_ *) % 1.21/1.41 assert (zenon_L783_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_H1ae zenon_H122 zenon_Heb zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_He7 zenon_H21c zenon_Hec zenon_Hca zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d4 zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Ha3 zenon_H2ff zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H23 zenon_H276 zenon_Hed zenon_H3e zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H18b zenon_Hf4 zenon_H201. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L782_); trivial. % 1.21/1.41 apply (zenon_L757_); trivial. % 1.21/1.41 apply (zenon_L138_); trivial. % 1.21/1.41 (* end of lemma zenon_L783_ *) % 1.21/1.41 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H235 zenon_H1f7 zenon_H71 zenon_H1d0 zenon_H1d2 zenon_Hec zenon_H217 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L75_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L744_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L779_); trivial. % 1.21/1.41 apply (zenon_L764_); trivial. % 1.21/1.41 (* end of lemma zenon_L784_ *) % 1.21/1.41 assert (zenon_L785_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H235 zenon_H1f7 zenon_H71 zenon_H1d0 zenon_H1d2 zenon_Hec zenon_H217 zenon_H209 zenon_H65 zenon_H76 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H75 zenon_Hed zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H10a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.41 apply (zenon_L8_); trivial. % 1.21/1.41 apply (zenon_L784_); trivial. % 1.21/1.41 (* end of lemma zenon_L785_ *) % 1.21/1.41 assert (zenon_L786_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H123 zenon_H201 zenon_H290 zenon_Hac zenon_H3e zenon_H17 zenon_H3 zenon_H10a zenon_H122 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H155 zenon_H2ff zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_Hed zenon_H75 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H76 zenon_H65 zenon_H209 zenon_H217 zenon_Hec zenon_H1d2 zenon_H71 zenon_H1f7 zenon_H235 zenon_H46 zenon_Hf4 zenon_Hf3. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L785_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.21/1.41 apply (zenon_L8_); trivial. % 1.21/1.41 apply (zenon_L780_); trivial. % 1.21/1.41 (* end of lemma zenon_L786_ *) % 1.21/1.41 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H156 zenon_H127 zenon_H17 zenon_H1d2 zenon_Hf4 zenon_He7 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hed zenon_Hca zenon_Hec zenon_H18b zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H218 zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H71 zenon_H1f7 zenon_Hac zenon_H3e zenon_H65 zenon_H76 zenon_H75 zenon_H16f zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H155 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H122 zenon_H290 zenon_Hf3 zenon_H201. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.21/1.41 apply (zenon_L173_); trivial. % 1.21/1.41 apply (zenon_L781_); trivial. % 1.21/1.41 apply (zenon_L786_); trivial. % 1.21/1.41 (* end of lemma zenon_L787_ *) % 1.21/1.41 assert (zenon_L788_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H1d0 zenon_H218 zenon_H12a zenon_H21c zenon_H16f zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L559_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L490_); trivial. % 1.21/1.41 apply (zenon_L518_); trivial. % 1.21/1.41 (* end of lemma zenon_L788_ *) % 1.21/1.41 assert (zenon_L789_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.21/1.41 do 0 intro. intros zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.21/1.41 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.41 apply (zenon_L35_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.41 apply (zenon_L49_); trivial. % 1.21/1.41 apply (zenon_L289_); trivial. % 1.21/1.41 (* end of lemma zenon_L789_ *) % 1.21/1.41 assert (zenon_L790_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc2 zenon_Hc3 zenon_H298 zenon_H297 zenon_H296 zenon_Hcd zenon_Hce zenon_Hcf zenon_He0 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.21/1.41 apply (zenon_L789_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.21/1.41 apply (zenon_L46_); trivial. % 1.21/1.41 exact (zenon_H5 zenon_H6). % 1.21/1.41 (* end of lemma zenon_L790_ *) % 1.21/1.41 assert (zenon_L791_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hcd zenon_Hce zenon_Hcf zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H197 zenon_H19 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H1a5. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.41 apply (zenon_L693_); trivial. % 1.21/1.41 apply (zenon_L790_); trivial. % 1.21/1.41 (* end of lemma zenon_L791_ *) % 1.21/1.41 assert (zenon_L792_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> False). % 1.21/1.41 do 0 intro. intros zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H296 zenon_H297 zenon_H298. % 1.21/1.41 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.21/1.41 apply (zenon_L35_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.21/1.41 apply (zenon_L186_); trivial. % 1.21/1.41 apply (zenon_L289_); trivial. % 1.21/1.41 (* end of lemma zenon_L792_ *) % 1.21/1.41 assert (zenon_L793_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp14)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H298 zenon_H297 zenon_H296 zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H78 zenon_H79 zenon_H7b zenon_He0 zenon_H1d0. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.21/1.41 apply (zenon_L441_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.21/1.41 apply (zenon_L792_); trivial. % 1.21/1.41 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.41 (* end of lemma zenon_L793_ *) % 1.21/1.41 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H232 zenon_Hca zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.21/1.41 apply (zenon_L494_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.21/1.41 apply (zenon_L442_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.21/1.41 apply (zenon_L793_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.21/1.41 apply (zenon_L41_); trivial. % 1.21/1.41 apply (zenon_L87_); trivial. % 1.21/1.41 (* end of lemma zenon_L794_ *) % 1.21/1.41 assert (zenon_L795_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Heb zenon_H235 zenon_H217 zenon_H5 zenon_H1d4 zenon_H209 zenon_Hc3 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_Hed zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H19 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.21/1.41 apply (zenon_L499_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L467_); trivial. % 1.21/1.41 apply (zenon_L791_); trivial. % 1.21/1.41 apply (zenon_L794_); trivial. % 1.21/1.41 (* end of lemma zenon_L795_ *) % 1.21/1.41 assert (zenon_L796_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp12)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp28)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H70 zenon_H1b2 zenon_H1be zenon_H297 zenon_H296 zenon_H298 zenon_H1c1 zenon_H112 zenon_H113 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1b0. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H86 | zenon_intro zenon_H1b3 ]. % 1.21/1.41 apply (zenon_L36_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b1 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.41 apply (zenon_L36_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.41 apply (zenon_L70_); trivial. % 1.21/1.41 apply (zenon_L298_); trivial. % 1.21/1.41 exact (zenon_H1b0 zenon_H1b1). % 1.21/1.41 (* end of lemma zenon_L796_ *) % 1.21/1.41 assert (zenon_L797_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp28)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H75 zenon_H1b2 zenon_H1b0 zenon_H112 zenon_H113 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.41 apply (zenon_L183_); trivial. % 1.21/1.41 apply (zenon_L796_); trivial. % 1.21/1.41 (* end of lemma zenon_L797_ *) % 1.21/1.41 assert (zenon_L798_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp12)) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H70 zenon_H22e zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1c1 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.41 apply (zenon_L470_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.41 apply (zenon_L165_); trivial. % 1.21/1.41 exact (zenon_H1 zenon_H2). % 1.21/1.41 (* end of lemma zenon_L798_ *) % 1.21/1.41 assert (zenon_L799_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H235 zenon_H1c5 zenon_H22e zenon_H1 zenon_H1d8 zenon_H3e zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H1b2 zenon_H75 zenon_H12a zenon_H21c zenon_H16f zenon_Ha3 zenon_H112 zenon_H113 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.21/1.41 apply (zenon_L559_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.21/1.41 apply (zenon_L490_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.21/1.41 apply (zenon_L270_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.21/1.41 apply (zenon_L797_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.41 apply (zenon_L183_); trivial. % 1.21/1.41 apply (zenon_L798_); trivial. % 1.21/1.41 (* end of lemma zenon_L799_ *) % 1.21/1.41 assert (zenon_L800_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp12)) -> (ndr1_0) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (c0_1 (a2208)) -> (c3_1 (a2208)) -> (c1_1 (a2208)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp28)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1b2 zenon_H1be zenon_Ha zenon_H297 zenon_H296 zenon_H298 zenon_H67 zenon_H69 zenon_H68 zenon_H1c1 zenon_H1d6 zenon_H78 zenon_H1d7 zenon_H1d8 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1b0. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H86 | zenon_intro zenon_H1b3 ]. % 1.21/1.41 apply (zenon_L36_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1b1 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.21/1.41 apply (zenon_L36_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.21/1.41 apply (zenon_L144_); trivial. % 1.21/1.41 apply (zenon_L298_); trivial. % 1.21/1.41 exact (zenon_H1b0 zenon_H1b1). % 1.21/1.41 (* end of lemma zenon_L800_ *) % 1.21/1.41 assert (zenon_L801_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H70 zenon_H22e zenon_H1b0 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1c1 zenon_H298 zenon_H296 zenon_H297 zenon_H1be zenon_H1b2 zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.21/1.41 apply (zenon_L800_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.21/1.41 apply (zenon_L165_); trivial. % 1.21/1.41 exact (zenon_H1 zenon_H2). % 1.21/1.41 (* end of lemma zenon_L801_ *) % 1.21/1.41 assert (zenon_L802_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H152 zenon_H75 zenon_H22e zenon_H1 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H1b0 zenon_H1b2 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H94 zenon_H92 zenon_H93 zenon_Ha3 zenon_H1f7 zenon_H19a zenon_H199 zenon_H19b zenon_H5a zenon_H50 zenon_H52 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H290. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.21/1.42 apply (zenon_L533_); trivial. % 1.21/1.42 apply (zenon_L801_); trivial. % 1.21/1.42 (* end of lemma zenon_L802_ *) % 1.21/1.42 assert (zenon_L803_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H52 zenon_H50 zenon_H5a zenon_H19b zenon_H199 zenon_H19a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H1b2 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_H1 zenon_H22e zenon_H75 zenon_H155. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.42 apply (zenon_L442_); trivial. % 1.28/1.42 apply (zenon_L802_); trivial. % 1.28/1.42 apply (zenon_L534_); trivial. % 1.28/1.42 (* end of lemma zenon_L803_ *) % 1.28/1.42 assert (zenon_L804_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2194))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_H1c5 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5a zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H1b2 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_H1 zenon_H22e zenon_H155 zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75 zenon_H47 zenon_H19 zenon_H197. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.28/1.42 apply (zenon_L118_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.42 apply (zenon_L405_); trivial. % 1.28/1.42 apply (zenon_L803_); trivial. % 1.28/1.42 (* end of lemma zenon_L804_ *) % 1.28/1.42 assert (zenon_L805_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hca zenon_H303 zenon_H301 zenon_H2ff zenon_H197 zenon_H19 zenon_H75 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H227 zenon_H226 zenon_H225 zenon_H290 zenon_H155 zenon_H22e zenon_H1 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H1b2 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d8 zenon_Ha3 zenon_H1f7 zenon_H5a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H1c5 zenon_Hec zenon_H1a5. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.42 apply (zenon_L804_); trivial. % 1.28/1.42 apply (zenon_L507_); trivial. % 1.28/1.42 (* end of lemma zenon_L805_ *) % 1.28/1.42 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hcd zenon_Hce zenon_Hcf zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H5 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H155 zenon_H1a5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.42 apply (zenon_L524_); trivial. % 1.28/1.42 apply (zenon_L790_); trivial. % 1.28/1.42 (* end of lemma zenon_L806_ *) % 1.28/1.42 assert (zenon_L807_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hed zenon_Hca zenon_Hcd zenon_Hce zenon_Hcf zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H197 zenon_Hc3 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H2ff zenon_H52 zenon_H50 zenon_H5a zenon_H290 zenon_H1a5 zenon_H209 zenon_H205 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.42 apply (zenon_L452_); trivial. % 1.28/1.42 apply (zenon_L806_); trivial. % 1.28/1.42 (* end of lemma zenon_L807_ *) % 1.28/1.42 assert (zenon_L808_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H75 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1b0 zenon_H1b2 zenon_Ha zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L50_); trivial. % 1.28/1.42 apply (zenon_L801_); trivial. % 1.28/1.42 (* end of lemma zenon_L808_ *) % 1.28/1.42 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H232 zenon_H1c5 zenon_H76 zenon_H65 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1b2 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1 zenon_H22e zenon_H75. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.28/1.42 apply (zenon_L808_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L50_); trivial. % 1.28/1.42 apply (zenon_L798_); trivial. % 1.28/1.42 (* end of lemma zenon_L809_ *) % 1.28/1.42 assert (zenon_L810_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (c3_1 (a2193)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H42 zenon_H1c5 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d8 zenon_H3e zenon_H3 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H113 zenon_H112 zenon_H1b2 zenon_H75. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.28/1.42 apply (zenon_L797_); trivial. % 1.28/1.42 apply (zenon_L474_); trivial. % 1.28/1.42 (* end of lemma zenon_L810_ *) % 1.28/1.42 assert (zenon_L811_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp18)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hc2 zenon_Hc3 zenon_Hb6 zenon_H112 zenon_H113 zenon_Hc4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.42 apply (zenon_L496_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.42 apply (zenon_L46_); trivial. % 1.28/1.42 exact (zenon_H5 zenon_H6). % 1.28/1.42 (* end of lemma zenon_L811_ *) % 1.28/1.42 assert (zenon_L812_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hc4 zenon_Hb6 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H19 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H1a5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.42 apply (zenon_L693_); trivial. % 1.28/1.42 apply (zenon_L811_); trivial. % 1.28/1.42 (* end of lemma zenon_L812_ *) % 1.28/1.42 assert (zenon_L813_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Heb zenon_H122 zenon_H1d zenon_Hed zenon_Hca zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H1d2 zenon_H1d0 zenon_Hc3 zenon_H1a5 zenon_H209 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H217 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H235. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.42 apply (zenon_L467_); trivial. % 1.28/1.42 apply (zenon_L812_); trivial. % 1.28/1.42 apply (zenon_L794_); trivial. % 1.28/1.42 apply (zenon_L130_); trivial. % 1.28/1.42 (* end of lemma zenon_L813_ *) % 1.28/1.42 assert (zenon_L814_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H46 zenon_H12a zenon_H21c zenon_H235 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_H217 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H1a5 zenon_Hc3 zenon_H1d0 zenon_H1d2 zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca zenon_Hed zenon_H1d zenon_H122 zenon_Heb. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_L813_); trivial. % 1.28/1.42 apply (zenon_L616_); trivial. % 1.28/1.42 (* end of lemma zenon_L814_ *) % 1.28/1.42 assert (zenon_L815_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (c0_1 (a2178)) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hac zenon_H298 zenon_H297 zenon_H296 zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_H94 zenon_H92 zenon_H93. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.42 apply (zenon_L792_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.42 apply (zenon_L41_); trivial. % 1.28/1.42 apply (zenon_L39_); trivial. % 1.28/1.42 (* end of lemma zenon_L815_ *) % 1.28/1.42 assert (zenon_L816_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_H5a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H1f7 zenon_Ha3 zenon_H1d8 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H290 zenon_H225 zenon_H226 zenon_H227 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H75. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.42 apply (zenon_L405_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.28/1.42 apply (zenon_L201_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.28/1.42 apply (zenon_L561_); trivial. % 1.28/1.42 apply (zenon_L815_); trivial. % 1.28/1.42 (* end of lemma zenon_L816_ *) % 1.28/1.42 assert (zenon_L817_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c0_1 (a2208)) -> (c3_1 (a2208)) -> (c1_1 (a2208)) -> (ndr1_0) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp12)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp28)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1f8 zenon_H67 zenon_H69 zenon_H68 zenon_Ha zenon_H1d7 zenon_H29 zenon_H1d6 zenon_H1d8 zenon_H1b2 zenon_H1be zenon_H297 zenon_H296 zenon_H298 zenon_H1c1 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1b0 zenon_Hac zenon_H10c. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.28/1.42 apply (zenon_L800_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.42 apply (zenon_L800_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.42 apply (zenon_L200_); trivial. % 1.28/1.42 apply (zenon_L471_); trivial. % 1.28/1.42 exact (zenon_H10c zenon_H10d). % 1.28/1.42 (* end of lemma zenon_L817_ *) % 1.28/1.42 assert (zenon_L818_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(hskp0)) -> False). % 1.28/1.42 do 0 intro. intros zenon_H70 zenon_H3e zenon_H10c zenon_Hac zenon_H1b0 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1c1 zenon_H298 zenon_H296 zenon_H297 zenon_H1be zenon_H1b2 zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H1f8 zenon_H36 zenon_H35 zenon_H34 zenon_H3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.28/1.42 apply (zenon_L817_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.28/1.42 apply (zenon_L18_); trivial. % 1.28/1.42 exact (zenon_H3 zenon_H4). % 1.28/1.42 (* end of lemma zenon_L818_ *) % 1.28/1.42 assert (zenon_L819_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H75 zenon_H1b2 zenon_H1b0 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H10c zenon_H1f8 zenon_H76 zenon_H65 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H34 zenon_H35 zenon_H36 zenon_H3 zenon_H3e. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L183_); trivial. % 1.28/1.42 apply (zenon_L818_); trivial. % 1.28/1.42 (* end of lemma zenon_L819_ *) % 1.28/1.42 assert (zenon_L820_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H42 zenon_H1c5 zenon_H3e zenon_H3 zenon_H1d6 zenon_H1d7 zenon_H65 zenon_H76 zenon_H1f8 zenon_H10c zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H1d8 zenon_H1b2 zenon_H75. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.28/1.42 apply (zenon_L819_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L183_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.28/1.42 apply (zenon_L470_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.42 apply (zenon_L470_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.42 apply (zenon_L200_); trivial. % 1.28/1.42 apply (zenon_L471_); trivial. % 1.28/1.42 exact (zenon_H10c zenon_H10d). % 1.28/1.42 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.28/1.42 apply (zenon_L18_); trivial. % 1.28/1.42 exact (zenon_H3 zenon_H4). % 1.28/1.42 (* end of lemma zenon_L820_ *) % 1.28/1.42 assert (zenon_L821_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp11)) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp0)) -> False). % 1.28/1.42 do 0 intro. intros zenon_H70 zenon_H3e zenon_H10c zenon_H1b0 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1c1 zenon_H298 zenon_H296 zenon_H297 zenon_H1be zenon_H1b2 zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H1f8 zenon_H14b zenon_H14a zenon_H149 zenon_H5a zenon_H50 zenon_H52 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_Hac zenon_H3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.28/1.42 apply (zenon_L817_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.28/1.42 apply (zenon_L567_); trivial. % 1.28/1.42 exact (zenon_H3 zenon_H4). % 1.28/1.42 (* end of lemma zenon_L821_ *) % 1.28/1.42 assert (zenon_L822_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1c0 zenon_H75 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1c1 zenon_H1be zenon_Ha3 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H3 zenon_H10a. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L206_); trivial. % 1.28/1.42 apply (zenon_L473_); trivial. % 1.28/1.42 (* end of lemma zenon_L822_ *) % 1.28/1.42 assert (zenon_L823_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> (~(hskp28)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2179)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (ndr1_0) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H75 zenon_H1b2 zenon_H1b0 zenon_H112 zenon_H113 zenon_H1c1 zenon_H1be zenon_H298 zenon_H296 zenon_H297 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H76 zenon_H65 zenon_H52 zenon_H50 zenon_H5a zenon_H3 zenon_H10a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.28/1.42 apply (zenon_L206_); trivial. % 1.28/1.42 apply (zenon_L796_); trivial. % 1.28/1.42 (* end of lemma zenon_L823_ *) % 1.28/1.42 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c2_1 (a2179)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H1c5 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H65 zenon_H76 zenon_Ha3 zenon_H297 zenon_H296 zenon_H298 zenon_H1be zenon_H1c1 zenon_H113 zenon_H112 zenon_H1b2 zenon_H75 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H122 zenon_H3 zenon_H10a. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L75_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.28/1.42 apply (zenon_L823_); trivial. % 1.28/1.42 apply (zenon_L822_); trivial. % 1.28/1.42 (* end of lemma zenon_L824_ *) % 1.28/1.42 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_H43 zenon_Hec zenon_H10e zenon_H290 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H21 zenon_H27 zenon_H235. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_L463_); trivial. % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 (* end of lemma zenon_L825_ *) % 1.28/1.42 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H235 zenon_H2c7 zenon_H135 zenon_H137 zenon_H139 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H27 zenon_H21 zenon_H75 zenon_H71 zenon_H22e zenon_H1 zenon_H76 zenon_H65 zenon_H290 zenon_H10e zenon_Hec zenon_H43 zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_Hac zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed zenon_H2cb zenon_H46 zenon_Hf4. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L559_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.42 apply (zenon_L453_); trivial. % 1.28/1.42 apply (zenon_L376_); trivial. % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 apply (zenon_L825_); trivial. % 1.28/1.42 (* end of lemma zenon_L826_ *) % 1.28/1.42 assert (zenon_L827_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H46 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H5 zenon_H1d4 zenon_H10a zenon_H155 zenon_H217 zenon_H43 zenon_Hec zenon_H10e zenon_H290 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H21 zenon_H27 zenon_H235 zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L8_); trivial. % 1.28/1.42 apply (zenon_L825_); trivial. % 1.28/1.42 (* end of lemma zenon_L827_ *) % 1.28/1.42 assert (zenon_L828_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H123 zenon_H201 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_H10a zenon_H290 zenon_H17 zenon_H3 zenon_H235 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H1d2 zenon_H10e zenon_Hec zenon_H217 zenon_H155 zenon_Hac zenon_H5 zenon_H1d4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed zenon_H27 zenon_H21 zenon_H3e zenon_H43 zenon_H46 zenon_Hf3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.42 apply (zenon_L469_); trivial. % 1.28/1.42 apply (zenon_L827_); trivial. % 1.28/1.42 (* end of lemma zenon_L828_ *) % 1.28/1.42 assert (zenon_L829_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H2bc zenon_H2bb zenon_H2ba zenon_Heb zenon_H122 zenon_H1a5 zenon_H155 zenon_Hac zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_Hca zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L548_); trivial. % 1.28/1.42 apply (zenon_L351_); trivial. % 1.28/1.42 (* end of lemma zenon_L829_ *) % 1.28/1.42 assert (zenon_L830_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L559_); trivial. % 1.28/1.42 apply (zenon_L351_); trivial. % 1.28/1.42 (* end of lemma zenon_L830_ *) % 1.28/1.42 assert (zenon_L831_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H155 zenon_Hac zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H122 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_L638_); trivial. % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 apply (zenon_L351_); trivial. % 1.28/1.42 (* end of lemma zenon_L831_ *) % 1.28/1.42 assert (zenon_L832_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H155 zenon_Hac zenon_H122 zenon_H16f zenon_H65 zenon_H2cb zenon_H46 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H112 zenon_H113 zenon_H12a zenon_H2c7 zenon_Hf4. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L830_); trivial. % 1.28/1.42 apply (zenon_L831_); trivial. % 1.28/1.42 (* end of lemma zenon_L832_ *) % 1.28/1.42 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Heb zenon_H122 zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H197 zenon_Hc4 zenon_H27 zenon_H23 zenon_H21 zenon_H3e zenon_H43 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H2cb zenon_H65 zenon_H201. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L788_); trivial. % 1.28/1.42 apply (zenon_L829_); trivial. % 1.28/1.42 apply (zenon_L832_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L8_); trivial. % 1.28/1.42 apply (zenon_L829_); trivial. % 1.28/1.42 apply (zenon_L832_); trivial. % 1.28/1.42 (* end of lemma zenon_L833_ *) % 1.28/1.42 assert (zenon_L834_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H65 zenon_H2cb zenon_H155. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.42 apply (zenon_L442_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2cc ]. % 1.28/1.42 apply (zenon_L331_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H33 | zenon_intro zenon_H66 ]. % 1.28/1.42 apply (zenon_L567_); trivial. % 1.28/1.42 exact (zenon_H65 zenon_H66). % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 (* end of lemma zenon_L834_ *) % 1.28/1.42 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_H46 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H65 zenon_H2cb zenon_H155 zenon_H3 zenon_H17. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L8_); trivial. % 1.28/1.42 apply (zenon_L834_); trivial. % 1.28/1.42 (* end of lemma zenon_L835_ *) % 1.28/1.42 assert (zenon_L836_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H156 zenon_H127 zenon_H17 zenon_Hf4 zenon_H235 zenon_H2cb zenon_H65 zenon_H22e zenon_H217 zenon_H10a zenon_H3 zenon_H209 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H139 zenon_H137 zenon_H135 zenon_H2c7 zenon_Hed zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H155 zenon_Hac zenon_H16f zenon_H46 zenon_Hf3. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L559_); trivial. % 1.28/1.42 apply (zenon_L347_); trivial. % 1.28/1.42 apply (zenon_L834_); trivial. % 1.28/1.42 apply (zenon_L835_); trivial. % 1.28/1.42 (* end of lemma zenon_L836_ *) % 1.28/1.42 assert (zenon_L837_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.28/1.42 do 0 intro. intros zenon_H2de zenon_H7b zenon_H79 zenon_H78 zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H7a | zenon_intro zenon_H2df ]. % 1.28/1.42 apply (zenon_L35_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e ]. % 1.28/1.42 apply (zenon_L84_); trivial. % 1.28/1.42 exact (zenon_H1d zenon_H1e). % 1.28/1.42 (* end of lemma zenon_L837_ *) % 1.28/1.42 assert (zenon_L838_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d zenon_H2de zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.42 apply (zenon_L86_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.42 apply (zenon_L837_); trivial. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.42 apply (zenon_L41_); trivial. % 1.28/1.42 apply (zenon_L87_); trivial. % 1.28/1.42 (* end of lemma zenon_L838_ *) % 1.28/1.42 assert (zenon_L839_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_H2de zenon_H1d zenon_Hca. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.42 apply (zenon_L494_); trivial. % 1.28/1.42 apply (zenon_L838_); trivial. % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 (* end of lemma zenon_L839_ *) % 1.28/1.42 assert (zenon_L840_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_Hca zenon_H2de zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_Hac zenon_H155 zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L839_); trivial. % 1.28/1.42 apply (zenon_L351_); trivial. % 1.28/1.42 (* end of lemma zenon_L840_ *) % 1.28/1.42 assert (zenon_L841_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H155 zenon_Hac zenon_H122 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L8_); trivial. % 1.28/1.42 apply (zenon_L831_); trivial. % 1.28/1.42 (* end of lemma zenon_L841_ *) % 1.28/1.42 assert (zenon_L842_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.42 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H2c7 zenon_H2de zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H197 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H122 zenon_H201. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L788_); trivial. % 1.28/1.42 apply (zenon_L840_); trivial. % 1.28/1.42 apply (zenon_L832_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.42 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.42 apply (zenon_L8_); trivial. % 1.28/1.42 apply (zenon_L840_); trivial. % 1.28/1.42 apply (zenon_L841_); trivial. % 1.28/1.42 (* end of lemma zenon_L842_ *) % 1.28/1.42 assert (zenon_L843_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.28/1.42 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_Hed zenon_H155 zenon_H110 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H16f zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H22e zenon_H1 zenon_H65 zenon_H2cb zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.28/1.42 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.42 apply (zenon_L559_); trivial. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.42 apply (zenon_L624_); trivial. % 1.28/1.42 apply (zenon_L343_); trivial. % 1.28/1.42 apply (zenon_L366_); trivial. % 1.28/1.42 (* end of lemma zenon_L843_ *) % 1.28/1.42 assert (zenon_L844_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H156 zenon_H127 zenon_H17 zenon_Hf4 zenon_H46 zenon_Hed zenon_H155 zenon_H110 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H16f zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H22e zenon_H65 zenon_H2cb zenon_H235 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Hac zenon_Hf3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L843_); trivial. % 1.28/1.43 apply (zenon_L834_); trivial. % 1.28/1.43 apply (zenon_L835_); trivial. % 1.28/1.43 (* end of lemma zenon_L844_ *) % 1.28/1.43 assert (zenon_L845_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H15a zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H23 zenon_H276 zenon_H155. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_L675_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 (* end of lemma zenon_L845_ *) % 1.28/1.43 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a2184))/\((c1_1 (a2184))/\(~(c3_1 (a2184)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H2ef zenon_H15d zenon_H23 zenon_H276 zenon_H12b zenon_H127 zenon_Hf3 zenon_H2c7 zenon_H2de zenon_H147 zenon_H197 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_Hf4 zenon_H122 zenon_H201 zenon_H1d4 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_H217 zenon_H10a zenon_H209 zenon_H18b zenon_H110 zenon_Hed zenon_H159. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L396_); trivial. % 1.28/1.43 apply (zenon_L842_); trivial. % 1.28/1.43 apply (zenon_L844_); trivial. % 1.28/1.43 apply (zenon_L845_); trivial. % 1.28/1.43 (* end of lemma zenon_L846_ *) % 1.28/1.43 assert (zenon_L847_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hac zenon_H1d zenon_H15e zenon_H171 zenon_H161 zenon_H160 zenon_H79 zenon_H7b zenon_H2de zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.43 apply (zenon_L417_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.43 apply (zenon_L41_); trivial. % 1.28/1.43 apply (zenon_L87_); trivial. % 1.28/1.43 (* end of lemma zenon_L847_ *) % 1.28/1.43 assert (zenon_L848_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_H2ea zenon_H2de zenon_H1d zenon_H160 zenon_H161 zenon_H15e zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.43 apply (zenon_L442_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.28/1.43 apply (zenon_L331_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.28/1.43 apply (zenon_L847_); trivial. % 1.28/1.43 apply (zenon_L419_); trivial. % 1.28/1.43 (* end of lemma zenon_L848_ *) % 1.28/1.43 assert (zenon_L849_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_Hca zenon_H2ea zenon_H2de zenon_H160 zenon_H161 zenon_H15e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_Hac zenon_H155 zenon_H1a5 zenon_H65 zenon_H2cb zenon_H46. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.43 apply (zenon_L494_); trivial. % 1.28/1.43 apply (zenon_L848_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 apply (zenon_L351_); trivial. % 1.28/1.43 (* end of lemma zenon_L849_ *) % 1.28/1.43 assert (zenon_L850_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf3 zenon_Hca zenon_H2ea zenon_H2de zenon_H160 zenon_H161 zenon_H15e zenon_H197 zenon_H16f zenon_H1d2 zenon_H1d0 zenon_Hac zenon_H155 zenon_H1a5 zenon_H65 zenon_H2cb zenon_H46 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H2ba zenon_H2bb zenon_H2bc zenon_H112 zenon_H113 zenon_H12a zenon_H2c7 zenon_Hf4. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L830_); trivial. % 1.28/1.43 apply (zenon_L849_); trivial. % 1.28/1.43 (* end of lemma zenon_L850_ *) % 1.28/1.43 assert (zenon_L851_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H126 zenon_H201 zenon_H122 zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H46 zenon_H2cb zenon_H65 zenon_H1a5 zenon_H155 zenon_Hac zenon_H1d2 zenon_H16f zenon_H197 zenon_H15e zenon_H161 zenon_H160 zenon_H2de zenon_H2ea zenon_Hca zenon_Hf3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_L850_); trivial. % 1.28/1.43 apply (zenon_L832_); trivial. % 1.28/1.43 (* end of lemma zenon_L851_ *) % 1.28/1.43 assert (zenon_L852_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2181)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a2181))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a2181)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hac zenon_H161 zenon_H171 zenon_H15e zenon_H181 zenon_H160 zenon_H17f zenon_He0 zenon_H1d8 zenon_H1d6 zenon_H29 zenon_H1d7 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.28/1.43 apply (zenon_L106_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.28/1.43 apply (zenon_L324_); trivial. % 1.28/1.43 apply (zenon_L101_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.43 apply (zenon_L200_); trivial. % 1.28/1.43 apply (zenon_L87_); trivial. % 1.28/1.43 (* end of lemma zenon_L852_ *) % 1.28/1.43 assert (zenon_L853_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a2196))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H2e0 zenon_Ha zenon_H17b zenon_H149 zenon_H14b. % 1.28/1.43 generalize (zenon_H2e0 (a2196)). zenon_intro zenon_H319. % 1.28/1.43 apply (zenon_imply_s _ _ zenon_H319); [ zenon_intro zenon_H9 | zenon_intro zenon_H31a ]. % 1.28/1.43 exact (zenon_H9 zenon_Ha). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H17e | zenon_intro zenon_H2b0 ]. % 1.28/1.43 exact (zenon_H17b zenon_H17e). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 1.28/1.43 exact (zenon_H14f zenon_H149). % 1.28/1.43 exact (zenon_H150 zenon_H14b). % 1.28/1.43 (* end of lemma zenon_L853_ *) % 1.28/1.43 assert (zenon_L854_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> False). % 1.28/1.43 do 0 intro. intros zenon_Ha0 zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b zenon_H14a. % 1.28/1.43 generalize (zenon_Ha0 (a2196)). zenon_intro zenon_H179. % 1.28/1.43 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H9 | zenon_intro zenon_H17a ]. % 1.28/1.43 exact (zenon_H9 zenon_Ha). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17b | zenon_intro zenon_H14e ]. % 1.28/1.43 apply (zenon_L853_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.28/1.43 exact (zenon_H151 zenon_H14a). % 1.28/1.43 exact (zenon_H150 zenon_H14b). % 1.28/1.43 (* end of lemma zenon_L854_ *) % 1.28/1.43 assert (zenon_L855_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2196)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H181 zenon_H161 zenon_H160 zenon_H15e zenon_H14a zenon_H14b zenon_H149 zenon_H2e0 zenon_Ha zenon_H17f. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.28/1.43 apply (zenon_L103_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.28/1.43 apply (zenon_L854_); trivial. % 1.28/1.43 exact (zenon_H17f zenon_H180). % 1.28/1.43 (* end of lemma zenon_L855_ *) % 1.28/1.43 assert (zenon_L856_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2196)) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1d7 zenon_H29 zenon_H1d6 zenon_H1d8 zenon_He0 zenon_Hac zenon_H181 zenon_H161 zenon_H160 zenon_H15e zenon_H14a zenon_H14b zenon_H149 zenon_Ha zenon_H17f. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.28/1.43 apply (zenon_L331_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.28/1.43 apply (zenon_L852_); trivial. % 1.28/1.43 apply (zenon_L855_); trivial. % 1.28/1.43 (* end of lemma zenon_L856_ *) % 1.28/1.43 assert (zenon_L857_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hf3 zenon_H3 zenon_H17 zenon_Hca zenon_H2ea zenon_H15e zenon_H161 zenon_H160 zenon_H21 zenon_H29f zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_H155 zenon_H183 zenon_Hac zenon_H181 zenon_H17f zenon_He0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H65 zenon_H2cb zenon_H46 zenon_H201. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.43 apply (zenon_L160_); trivial. % 1.28/1.43 apply (zenon_L428_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.43 apply (zenon_L442_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.43 apply (zenon_L856_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.43 apply (zenon_L294_); trivial. % 1.28/1.43 apply (zenon_L106_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 apply (zenon_L835_); trivial. % 1.28/1.43 (* end of lemma zenon_L857_ *) % 1.28/1.43 assert (zenon_L858_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H159 zenon_H127 zenon_H17 zenon_H29f zenon_H218 zenon_He0 zenon_H46 zenon_H3e zenon_H3 zenon_H27 zenon_H23 zenon_H21 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H181 zenon_H17f zenon_H183 zenon_H155 zenon_H43 zenon_Hf3 zenon_Hca zenon_H2ea zenon_H2de zenon_H197 zenon_H1d2 zenon_Hac zenon_H1a5 zenon_H65 zenon_H2cb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4 zenon_H122 zenon_H201 zenon_H12b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L107_); trivial. % 1.28/1.43 apply (zenon_L851_); trivial. % 1.28/1.43 apply (zenon_L857_); trivial. % 1.28/1.43 (* end of lemma zenon_L858_ *) % 1.28/1.43 assert (zenon_L859_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c0_1 (a2182))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H33 zenon_Ha zenon_H2e0 zenon_H26b zenon_H26d zenon_H26c. % 1.28/1.43 generalize (zenon_H33 (a2182)). zenon_intro zenon_H278. % 1.28/1.43 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H9 | zenon_intro zenon_H279 ]. % 1.28/1.43 exact (zenon_H9 zenon_Ha). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27a | zenon_intro zenon_H270 ]. % 1.28/1.43 generalize (zenon_H2e0 (a2182)). zenon_intro zenon_H31b. % 1.28/1.43 apply (zenon_imply_s _ _ zenon_H31b); [ zenon_intro zenon_H9 | zenon_intro zenon_H31c ]. % 1.28/1.43 exact (zenon_H9 zenon_Ha). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H271 | zenon_intro zenon_H31d ]. % 1.28/1.43 exact (zenon_H26b zenon_H271). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H27e | zenon_intro zenon_H272 ]. % 1.28/1.43 exact (zenon_H27e zenon_H27a). % 1.28/1.43 exact (zenon_H272 zenon_H26d). % 1.28/1.43 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ]. % 1.28/1.43 exact (zenon_H273 zenon_H26c). % 1.28/1.43 exact (zenon_H272 zenon_H26d). % 1.28/1.43 (* end of lemma zenon_L859_ *) % 1.28/1.43 assert (zenon_L860_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c1_1 (a2268)) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H2cd zenon_H19b zenon_H19a zenon_H199 zenon_H26c zenon_H26d zenon_H26b zenon_H2e0 zenon_Ha zenon_H1be. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_He2 | zenon_intro zenon_H2ce ]. % 1.28/1.43 apply (zenon_L119_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H33 | zenon_intro zenon_H1bf ]. % 1.28/1.43 apply (zenon_L859_); trivial. % 1.28/1.43 exact (zenon_H1be zenon_H1bf). % 1.28/1.43 (* end of lemma zenon_L860_ *) % 1.28/1.43 assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp8)) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp12)) -> False). % 1.28/1.43 do 0 intro. intros zenon_H1a2 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H21 zenon_H15e zenon_H161 zenon_H160 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H29f zenon_H2cd zenon_H26c zenon_H26d zenon_H26b zenon_H1be. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.28/1.43 apply (zenon_L331_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.28/1.43 apply (zenon_L294_); trivial. % 1.28/1.43 apply (zenon_L860_); trivial. % 1.28/1.43 (* end of lemma zenon_L861_ *) % 1.28/1.43 assert (zenon_L862_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp12)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hc2 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1be zenon_H26b zenon_H26c zenon_H26d zenon_H2cd zenon_H87 zenon_H88 zenon_H89. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.28/1.43 apply (zenon_L60_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.28/1.43 apply (zenon_L357_); trivial. % 1.28/1.43 apply (zenon_L36_); trivial. % 1.28/1.43 (* end of lemma zenon_L862_ *) % 1.28/1.43 assert (zenon_L863_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c0_1 (a2182))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H156 zenon_H204 zenon_H1f7 zenon_Hf4 zenon_H46 zenon_H2cb zenon_H65 zenon_H1a5 zenon_H2ea zenon_H26b zenon_H26d zenon_H26c zenon_H2cd zenon_H15e zenon_H161 zenon_H160 zenon_H21 zenon_H29f zenon_H2bc zenon_H2bb zenon_H2ba zenon_H197 zenon_H110 zenon_Hca zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H155 zenon_Hac zenon_H16f zenon_Hf3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_L559_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.28/1.43 apply (zenon_L118_); trivial. % 1.28/1.43 apply (zenon_L861_); trivial. % 1.28/1.43 apply (zenon_L862_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 apply (zenon_L834_); trivial. % 1.28/1.43 apply (zenon_L629_); trivial. % 1.28/1.43 (* end of lemma zenon_L863_ *) % 1.28/1.43 assert (zenon_L864_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c1_1 (a2181)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H159 zenon_H204 zenon_H1f7 zenon_H2cd zenon_H29f zenon_H110 zenon_H43 zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H15e zenon_H161 zenon_H16d zenon_H21 zenon_H23 zenon_H27 zenon_Hf3 zenon_Hca zenon_H2ea zenon_H2de zenon_H160 zenon_H197 zenon_H16f zenon_H1d2 zenon_Hac zenon_H155 zenon_H1a5 zenon_H65 zenon_H2cb zenon_H46 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4 zenon_H122 zenon_H201 zenon_H12b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L226_); trivial. % 1.28/1.43 apply (zenon_L851_); trivial. % 1.28/1.43 apply (zenon_L863_); trivial. % 1.28/1.43 (* end of lemma zenon_L864_ *) % 1.28/1.43 assert (zenon_L865_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.43 apply (zenon_L442_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.28/1.43 apply (zenon_L747_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.28/1.43 apply (zenon_L41_); trivial. % 1.28/1.43 apply (zenon_L87_); trivial. % 1.28/1.43 (* end of lemma zenon_L865_ *) % 1.28/1.43 assert (zenon_L866_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hca zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H197 zenon_H19 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1a5. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.43 apply (zenon_L494_); trivial. % 1.28/1.43 apply (zenon_L865_); trivial. % 1.28/1.43 (* end of lemma zenon_L866_ *) % 1.28/1.43 assert (zenon_L867_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf5 zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_H155 zenon_Hac zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H2ff zenon_H281 zenon_H280 zenon_H27f zenon_Hca. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_L866_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 (* end of lemma zenon_L867_ *) % 1.28/1.43 assert (zenon_L868_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hea zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_H2ff zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H1 zenon_H22e zenon_H235. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_L755_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 (* end of lemma zenon_L868_ *) % 1.28/1.43 assert (zenon_L869_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H16f zenon_Hac zenon_H1d8 zenon_H1d6 zenon_H1d7 zenon_H5 zenon_H1d4 zenon_H3 zenon_H10a zenon_H155 zenon_H217 zenon_H2ff zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H1 zenon_H22e zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_L559_); trivial. % 1.28/1.43 apply (zenon_L868_); trivial. % 1.28/1.43 (* end of lemma zenon_L869_ *) % 1.28/1.43 assert (zenon_L870_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H43 zenon_Hec zenon_H10e zenon_H290 zenon_H76 zenon_H71 zenon_H75 zenon_H21 zenon_H27 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H235 zenon_H22e zenon_H1 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H2ff zenon_H217 zenon_H155 zenon_H10a zenon_H3 zenon_H1d4 zenon_H5 zenon_Hac zenon_H16f zenon_H209 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_Hf4. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L869_); trivial. % 1.28/1.43 apply (zenon_L825_); trivial. % 1.28/1.43 (* end of lemma zenon_L870_ *) % 1.28/1.43 assert (zenon_L871_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (ndr1_0) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf3 zenon_H46 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_H155 zenon_Hac zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H197 zenon_H2ff zenon_H281 zenon_H280 zenon_H27f zenon_Hca zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L8_); trivial. % 1.28/1.43 apply (zenon_L867_); trivial. % 1.28/1.43 (* end of lemma zenon_L871_ *) % 1.28/1.43 assert (zenon_L872_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H123 zenon_H201 zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H209 zenon_H5 zenon_H1d4 zenon_H10a zenon_H217 zenon_H43 zenon_Hec zenon_H10e zenon_H290 zenon_H76 zenon_H71 zenon_H75 zenon_H21 zenon_H27 zenon_H235 zenon_H17 zenon_H3 zenon_Hca zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_Hac zenon_H155 zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_Hf3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_L871_); trivial. % 1.28/1.43 apply (zenon_L827_); trivial. % 1.28/1.43 (* end of lemma zenon_L872_ *) % 1.28/1.43 assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H123 zenon_H201 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H122 zenon_H17 zenon_H3 zenon_Hca zenon_H27f zenon_H280 zenon_H281 zenon_H2ff zenon_H197 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_Hac zenon_H155 zenon_H1a5 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46 zenon_Hf3. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_L871_); trivial. % 1.28/1.43 apply (zenon_L841_); trivial. % 1.28/1.43 (* end of lemma zenon_L873_ *) % 1.28/1.43 assert (zenon_L874_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H197 zenon_H281 zenon_H280 zenon_H27f zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H2c7 zenon_H122 zenon_H201. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L788_); trivial. % 1.28/1.43 apply (zenon_L867_); trivial. % 1.28/1.43 apply (zenon_L832_); trivial. % 1.28/1.43 apply (zenon_L873_); trivial. % 1.28/1.43 (* end of lemma zenon_L874_ *) % 1.28/1.43 assert (zenon_L875_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2196)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H14a zenon_H14b zenon_H149 zenon_H4f zenon_Ha zenon_H87 zenon_H88 zenon_H89. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.28/1.43 apply (zenon_L60_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.28/1.43 apply (zenon_L312_); trivial. % 1.28/1.43 apply (zenon_L36_); trivial. % 1.28/1.43 (* end of lemma zenon_L875_ *) % 1.28/1.43 assert (zenon_L876_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hed zenon_H155 zenon_H2c7 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H110 zenon_He7 zenon_H89 zenon_H88 zenon_H87 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.43 apply (zenon_L159_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.43 apply (zenon_L442_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c8 ]. % 1.28/1.43 apply (zenon_L331_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H86 | zenon_intro zenon_H18e ]. % 1.28/1.43 apply (zenon_L36_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.28/1.43 apply (zenon_L335_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.28/1.43 apply (zenon_L742_); trivial. % 1.28/1.43 apply (zenon_L875_); trivial. % 1.28/1.43 (* end of lemma zenon_L876_ *) % 1.28/1.43 assert (zenon_L877_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H2cb zenon_H65 zenon_Hed zenon_H155 zenon_H2c7 zenon_Ha3 zenon_H110 zenon_He7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H2ff zenon_H22e zenon_H235 zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_L254_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.43 apply (zenon_L876_); trivial. % 1.28/1.43 apply (zenon_L754_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 (* end of lemma zenon_L877_ *) % 1.28/1.43 assert (zenon_L878_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_Heb zenon_H122 zenon_Hed zenon_Hca zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff zenon_H197 zenon_H1d2 zenon_H1d0 zenon_Hc3 zenon_H1a5 zenon_H209 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d4 zenon_H5 zenon_Hac zenon_H155 zenon_H217 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H235 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H46. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_L813_); trivial. % 1.28/1.43 apply (zenon_L366_); trivial. % 1.28/1.43 apply (zenon_L351_); trivial. % 1.28/1.43 (* end of lemma zenon_L878_ *) % 1.28/1.43 assert (zenon_L879_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_H2c7 zenon_Heb zenon_H122 zenon_Hed zenon_Hc4 zenon_H197 zenon_H1d2 zenon_Hc3 zenon_H1a5 zenon_H209 zenon_H1d4 zenon_Hac zenon_H217 zenon_He0 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H65 zenon_H2cb zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H201 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L290_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L788_); trivial. % 1.28/1.43 apply (zenon_L878_); trivial. % 1.28/1.43 apply (zenon_L832_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_L8_); trivial. % 1.28/1.43 apply (zenon_L878_); trivial. % 1.28/1.43 apply (zenon_L841_); trivial. % 1.28/1.43 (* end of lemma zenon_L879_ *) % 1.28/1.43 assert (zenon_L880_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H12b zenon_H201 zenon_H122 zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H46 zenon_H2cb zenon_H65 zenon_H1a5 zenon_H155 zenon_Hac zenon_H1d2 zenon_H16f zenon_H197 zenon_H15e zenon_H161 zenon_H160 zenon_H2de zenon_H2ea zenon_Hca zenon_Hf3 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L290_); trivial. % 1.28/1.43 apply (zenon_L851_); trivial. % 1.28/1.43 (* end of lemma zenon_L880_ *) % 1.28/1.43 assert (zenon_L881_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H12b zenon_H127 zenon_Hf3 zenon_H2cb zenon_H65 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H197 zenon_H281 zenon_H280 zenon_H27f zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H2c7 zenon_H122 zenon_H201 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.43 apply (zenon_L290_); trivial. % 1.28/1.43 apply (zenon_L874_); trivial. % 1.28/1.43 (* end of lemma zenon_L881_ *) % 1.28/1.43 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H232 zenon_Hca zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_H1d2 zenon_H1 zenon_H1d0 zenon_H218. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.43 apply (zenon_L160_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.28/1.43 apply (zenon_L793_); trivial. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.28/1.43 apply (zenon_L165_); trivial. % 1.28/1.43 exact (zenon_H1 zenon_H2). % 1.28/1.43 (* end of lemma zenon_L882_ *) % 1.28/1.43 assert (zenon_L883_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.28/1.43 do 0 intro. intros zenon_H156 zenon_H204 zenon_H1f7 zenon_H201 zenon_H11e zenon_Hf4 zenon_H46 zenon_H2cd zenon_Hed zenon_H155 zenon_H2c7 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H110 zenon_He7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H16f zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H218 zenon_H1d2 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H22e zenon_Hca zenon_H235 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H2ff zenon_H197 zenon_Hac zenon_H1a5 zenon_H65 zenon_H2cb zenon_Hf3 zenon_H17 zenon_H127. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.43 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.43 apply (zenon_L559_); trivial. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.43 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.43 apply (zenon_L876_); trivial. % 1.28/1.43 apply (zenon_L882_); trivial. % 1.28/1.43 apply (zenon_L620_); trivial. % 1.28/1.43 apply (zenon_L867_); trivial. % 1.28/1.43 apply (zenon_L877_); trivial. % 1.28/1.43 apply (zenon_L835_); trivial. % 1.28/1.43 apply (zenon_L629_); trivial. % 1.28/1.43 (* end of lemma zenon_L883_ *) % 1.28/1.43 assert (zenon_L884_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H171 zenon_Ha zenon_H31e zenon_H31f zenon_H320. % 1.28/1.44 generalize (zenon_H171 (a2175)). zenon_intro zenon_H321. % 1.28/1.44 apply (zenon_imply_s _ _ zenon_H321); [ zenon_intro zenon_H9 | zenon_intro zenon_H322 ]. % 1.28/1.44 exact (zenon_H9 zenon_Ha). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H324 | zenon_intro zenon_H323 ]. % 1.28/1.44 exact (zenon_H31e zenon_H324). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H326 | zenon_intro zenon_H325 ]. % 1.28/1.44 exact (zenon_H31f zenon_H326). % 1.28/1.44 exact (zenon_H325 zenon_H320). % 1.28/1.44 (* end of lemma zenon_L884_ *) % 1.28/1.44 assert (zenon_L885_ : (forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113)))))) -> (ndr1_0) -> (~(c3_1 (a2175))) -> (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (c2_1 (a2175)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H175 zenon_Ha zenon_H31f zenon_Hb8 zenon_H320. % 1.28/1.44 generalize (zenon_H175 (a2175)). zenon_intro zenon_H327. % 1.28/1.44 apply (zenon_imply_s _ _ zenon_H327); [ zenon_intro zenon_H9 | zenon_intro zenon_H328 ]. % 1.28/1.44 exact (zenon_H9 zenon_Ha). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H326 | zenon_intro zenon_H329 ]. % 1.28/1.44 exact (zenon_H31f zenon_H326). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H32a | zenon_intro zenon_H325 ]. % 1.28/1.44 generalize (zenon_Hb8 (a2175)). zenon_intro zenon_H32b. % 1.28/1.44 apply (zenon_imply_s _ _ zenon_H32b); [ zenon_intro zenon_H9 | zenon_intro zenon_H32c ]. % 1.28/1.44 exact (zenon_H9 zenon_Ha). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H32d | zenon_intro zenon_H323 ]. % 1.28/1.44 exact (zenon_H32a zenon_H32d). % 1.28/1.44 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H326 | zenon_intro zenon_H325 ]. % 1.28/1.44 exact (zenon_H31f zenon_H326). % 1.28/1.44 exact (zenon_H325 zenon_H320). % 1.28/1.44 exact (zenon_H325 zenon_H320). % 1.28/1.44 (* end of lemma zenon_L885_ *) % 1.28/1.44 assert (zenon_L886_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a2175)) -> (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (~(c3_1 (a2175))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp22)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H185 zenon_H320 zenon_Hb8 zenon_H31f zenon_Ha zenon_H3 zenon_H61. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H175 | zenon_intro zenon_H186 ]. % 1.28/1.44 apply (zenon_L885_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H4 | zenon_intro zenon_H62 ]. % 1.28/1.44 exact (zenon_H3 zenon_H4). % 1.28/1.44 exact (zenon_H61 zenon_H62). % 1.28/1.44 (* end of lemma zenon_L886_ *) % 1.28/1.44 assert (zenon_L887_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2262)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (~(hskp22)) -> (~(hskp0)) -> (ndr1_0) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc3 zenon_H7b zenon_H7a zenon_H79 zenon_H61 zenon_H3 zenon_Ha zenon_H31f zenon_H320 zenon_H185 zenon_H5. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L35_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L886_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L887_ *) % 1.28/1.44 assert (zenon_L888_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp22)) -> (~(hskp0)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H3d zenon_Hca zenon_H183 zenon_H185 zenon_H61 zenon_H3 zenon_H5 zenon_Hc3 zenon_H320 zenon_H31f zenon_H31e zenon_H49 zenon_H4b zenon_H4d. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L25_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.44 apply (zenon_L17_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_L887_); trivial. % 1.28/1.44 (* end of lemma zenon_L888_ *) % 1.28/1.44 assert (zenon_L889_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2262)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc3 zenon_H7b zenon_H7a zenon_H79 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L35_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L46_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L889_ *) % 1.28/1.44 assert (zenon_L890_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc2 zenon_H183 zenon_H2c zenon_H2b zenon_H2a zenon_H320 zenon_H31f zenon_H31e zenon_Hc3 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.44 apply (zenon_L17_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_L889_); trivial. % 1.28/1.44 (* end of lemma zenon_L890_ *) % 1.28/1.44 assert (zenon_L891_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H3d zenon_Hca zenon_H183 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H320 zenon_H31f zenon_H31e zenon_H49 zenon_H4b zenon_H4d. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L25_); trivial. % 1.28/1.44 apply (zenon_L890_); trivial. % 1.28/1.44 (* end of lemma zenon_L891_ *) % 1.28/1.44 assert (zenon_L892_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H183 zenon_H5 zenon_Hc3 zenon_H320 zenon_H31f zenon_H31e zenon_H49 zenon_H4b zenon_H4d zenon_H21 zenon_H23 zenon_H27. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.44 apply (zenon_L16_); trivial. % 1.28/1.44 apply (zenon_L891_); trivial. % 1.28/1.44 (* end of lemma zenon_L892_ *) % 1.28/1.44 assert (zenon_L893_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp7)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H156 zenon_H2a1 zenon_H320 zenon_H31f zenon_H31e zenon_H17f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.28/1.44 apply (zenon_L60_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 exact (zenon_H17f zenon_H180). % 1.28/1.44 (* end of lemma zenon_L893_ *) % 1.28/1.44 assert (zenon_L894_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H159 zenon_H2a1 zenon_H17f zenon_H43 zenon_Hca zenon_H183 zenon_H185 zenon_H3 zenon_Hc3 zenon_H320 zenon_H31f zenon_H31e zenon_H49 zenon_H4b zenon_H4d zenon_H21 zenon_H23 zenon_H27 zenon_Hed. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.44 apply (zenon_L16_); trivial. % 1.28/1.44 apply (zenon_L888_); trivial. % 1.28/1.44 apply (zenon_L892_); trivial. % 1.28/1.44 apply (zenon_L893_); trivial. % 1.28/1.44 (* end of lemma zenon_L894_ *) % 1.28/1.44 assert (zenon_L895_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hed zenon_H276 zenon_H23 zenon_H10c zenon_H16d zenon_H218 zenon_H1d0 zenon_H1 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_H49 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_H5 zenon_Hc3 zenon_H155 zenon_Hca. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L160_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.44 apply (zenon_L86_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L88_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L886_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 apply (zenon_L574_); trivial. % 1.28/1.44 (* end of lemma zenon_L895_ *) % 1.28/1.44 assert (zenon_L896_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp7)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H42 zenon_H2a1 zenon_H10c zenon_H16d zenon_H13e zenon_H13d zenon_H13c zenon_H5 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1f8 zenon_H320 zenon_H31f zenon_H31e zenon_H17f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.28/1.44 apply (zenon_L717_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 exact (zenon_H17f zenon_H180). % 1.28/1.44 (* end of lemma zenon_L896_ *) % 1.28/1.44 assert (zenon_L897_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_Ha3 zenon_H1f8 zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.44 apply (zenon_L131_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_L143_); trivial. % 1.28/1.44 apply (zenon_L896_); trivial. % 1.28/1.44 (* end of lemma zenon_L897_ *) % 1.28/1.44 assert (zenon_L898_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a2175))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp13)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H201 zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H31e zenon_Ha3 zenon_H1f8 zenon_H1d4 zenon_H1ae zenon_H122 zenon_Heb zenon_Hca zenon_H155 zenon_Hc3 zenon_H5 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H49 zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H1 zenon_H218 zenon_H16d zenon_H10c zenon_H23 zenon_H276 zenon_Hed. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.44 apply (zenon_L895_); trivial. % 1.28/1.44 apply (zenon_L897_); trivial. % 1.28/1.44 (* end of lemma zenon_L898_ *) % 1.28/1.44 assert (zenon_L899_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp17)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp22)) -> (~(hskp0)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H214 zenon_Hc3 zenon_H19 zenon_H1d4 zenon_H61 zenon_H3 zenon_H31f zenon_H320 zenon_H185 zenon_H5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L383_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L886_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L899_ *) % 1.28/1.44 assert (zenon_L900_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H19 zenon_H5 zenon_H1d4 zenon_H205 zenon_H61 zenon_H209. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.28/1.44 apply (zenon_L156_); trivial. % 1.28/1.44 apply (zenon_L899_); trivial. % 1.28/1.44 (* end of lemma zenon_L900_ *) % 1.28/1.44 assert (zenon_L901_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hc3 zenon_H5 zenon_H15 zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L160_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L457_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L46_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L901_ *) % 1.28/1.44 assert (zenon_L902_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H235 zenon_H22e zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H218 zenon_H1d0 zenon_H1 zenon_H2fb zenon_H1b zenon_H15 zenon_Hca zenon_Hed. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_L900_); trivial. % 1.28/1.44 apply (zenon_L901_); trivial. % 1.28/1.44 apply (zenon_L576_); trivial. % 1.28/1.44 (* end of lemma zenon_L902_ *) % 1.28/1.44 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf5 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H12a zenon_H113 zenon_H112. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.28/1.44 apply (zenon_L111_); trivial. % 1.28/1.44 apply (zenon_L41_); trivial. % 1.28/1.44 (* end of lemma zenon_L903_ *) % 1.28/1.44 assert (zenon_L904_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2175))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf3 zenon_H193 zenon_H31e zenon_H235 zenon_H22e zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H218 zenon_H1d0 zenon_H1 zenon_H2fb zenon_H1b zenon_Hca zenon_Hed zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H22f zenon_H46. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_L902_); trivial. % 1.28/1.44 apply (zenon_L518_); trivial. % 1.28/1.44 apply (zenon_L903_); trivial. % 1.28/1.44 (* end of lemma zenon_L904_ *) % 1.28/1.44 assert (zenon_L905_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp7)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1fd zenon_H2a1 zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H17f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.28/1.44 apply (zenon_L111_); trivial. % 1.28/1.44 apply (zenon_L386_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 exact (zenon_H17f zenon_H180). % 1.28/1.44 (* end of lemma zenon_L905_ *) % 1.28/1.44 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_H193 zenon_H12a zenon_H113 zenon_H112 zenon_H320 zenon_H31f zenon_H31e zenon_H3 zenon_H17. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.44 apply (zenon_L8_); trivial. % 1.28/1.44 apply (zenon_L903_); trivial. % 1.28/1.44 (* end of lemma zenon_L906_ *) % 1.28/1.44 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2175))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H126 zenon_H127 zenon_H17 zenon_Hf3 zenon_H193 zenon_H31e zenon_H235 zenon_H22e zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H218 zenon_H2fb zenon_H1b zenon_Hca zenon_Hed zenon_H21c zenon_H22f zenon_H46 zenon_H17f zenon_H2a1 zenon_H201. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.44 apply (zenon_L904_); trivial. % 1.28/1.44 apply (zenon_L905_); trivial. % 1.28/1.44 apply (zenon_L906_); trivial. % 1.28/1.44 (* end of lemma zenon_L907_ *) % 1.28/1.44 assert (zenon_L908_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H3d zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H26b zenon_H26c zenon_H26d. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.44 apply (zenon_L17_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_L225_); trivial. % 1.28/1.44 (* end of lemma zenon_L908_ *) % 1.28/1.44 assert (zenon_L909_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H43 zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H320 zenon_H31f zenon_H31e zenon_H21 zenon_H23 zenon_H27. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.44 apply (zenon_L16_); trivial. % 1.28/1.44 apply (zenon_L908_); trivial. % 1.28/1.44 (* end of lemma zenon_L909_ *) % 1.28/1.44 assert (zenon_L910_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hea zenon_H46 zenon_H235 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1f8 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1d4. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_L143_); trivial. % 1.28/1.44 apply (zenon_L719_); trivial. % 1.28/1.44 (* end of lemma zenon_L910_ *) % 1.28/1.44 assert (zenon_L911_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H235 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Ha3 zenon_H1f8 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.44 apply (zenon_L131_); trivial. % 1.28/1.44 apply (zenon_L910_); trivial. % 1.28/1.44 (* end of lemma zenon_L911_ *) % 1.28/1.44 assert (zenon_L912_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1fd zenon_H183 zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H26b zenon_H26c zenon_H26d. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.28/1.44 apply (zenon_L111_); trivial. % 1.28/1.44 apply (zenon_L200_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_L225_); trivial. % 1.28/1.44 (* end of lemma zenon_L912_ *) % 1.28/1.44 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2175))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H126 zenon_H127 zenon_H17 zenon_Hf3 zenon_H193 zenon_H31e zenon_H235 zenon_H22e zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H218 zenon_H2fb zenon_H1b zenon_Hca zenon_Hed zenon_H21c zenon_H22f zenon_H46 zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H201. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.44 apply (zenon_L904_); trivial. % 1.28/1.44 apply (zenon_L912_); trivial. % 1.28/1.44 apply (zenon_L906_); trivial. % 1.28/1.44 (* end of lemma zenon_L913_ *) % 1.28/1.44 assert (zenon_L914_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H46 zenon_H43 zenon_H3e zenon_H21 zenon_H23 zenon_H27 zenon_Hed zenon_Hca zenon_H15 zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218 zenon_H209 zenon_H1d4 zenon_H5 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_Hc3 zenon_H217 zenon_H22e zenon_H235. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_L902_); trivial. % 1.28/1.44 apply (zenon_L20_); trivial. % 1.28/1.44 (* end of lemma zenon_L914_ *) % 1.28/1.44 assert (zenon_L915_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(hskp27)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (~(hskp22)) -> (~(hskp0)) -> (ndr1_0) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H5f zenon_H50 zenon_H52 zenon_H71 zenon_Hc3 zenon_H19b zenon_H199 zenon_H19a zenon_H61 zenon_H3 zenon_Ha zenon_H31f zenon_H320 zenon_H185 zenon_H5. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.28/1.44 apply (zenon_L17_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.28/1.44 apply (zenon_L404_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L414_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L886_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L915_ *) % 1.28/1.44 assert (zenon_L916_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp4)) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hab zenon_H276 zenon_H12e zenon_H12d zenon_H12c zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H23. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H277 ]. % 1.28/1.44 apply (zenon_L80_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H91 | zenon_intro zenon_H24 ]. % 1.28/1.44 apply (zenon_L39_); trivial. % 1.28/1.44 exact (zenon_H23 zenon_H24). % 1.28/1.44 (* end of lemma zenon_L916_ *) % 1.28/1.44 assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c2_1 (a2248))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_H276 zenon_H23 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H2a zenon_H2b zenon_H2c zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_Hc3 zenon_H5 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H290. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.44 apply (zenon_L915_); trivial. % 1.28/1.44 apply (zenon_L916_); trivial. % 1.28/1.44 (* end of lemma zenon_L917_ *) % 1.28/1.44 assert (zenon_L918_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c0_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c2_1 (a2248))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_H276 zenon_H23 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H2a zenon_H2b zenon_H2c zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_Hc3 zenon_H5 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H290 zenon_H47 zenon_H19 zenon_H197. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.28/1.44 apply (zenon_L118_); trivial. % 1.28/1.44 apply (zenon_L917_); trivial. % 1.28/1.44 (* end of lemma zenon_L918_ *) % 1.28/1.44 assert (zenon_L919_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H43 zenon_Hca zenon_Hac zenon_H5a zenon_H49 zenon_Ha5 zenon_H21a zenon_H1b zenon_He6 zenon_H197 zenon_H19 zenon_H290 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_H5 zenon_Hc3 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H276 zenon_Hec zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.44 apply (zenon_L16_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L918_); trivial. % 1.28/1.44 apply (zenon_L286_); trivial. % 1.28/1.44 (* end of lemma zenon_L919_ *) % 1.28/1.44 assert (zenon_L920_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H276 zenon_H23 zenon_H16d zenon_H5 zenon_H10c zenon_H161 zenon_H160 zenon_H15e zenon_H19 zenon_H16f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.44 apply (zenon_L99_); trivial. % 1.28/1.44 apply (zenon_L445_); trivial. % 1.28/1.44 (* end of lemma zenon_L920_ *) % 1.28/1.44 assert (zenon_L921_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hca zenon_Hac zenon_H49 zenon_Ha5 zenon_H21a zenon_He6 zenon_H197 zenon_H290 zenon_H185 zenon_H320 zenon_H31f zenon_H5 zenon_Hc3 zenon_H71 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H276 zenon_Hec zenon_H1a5 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H16d zenon_H155 zenon_Hed zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.44 apply (zenon_L21_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_L919_); trivial. % 1.28/1.44 apply (zenon_L920_); trivial. % 1.28/1.44 apply (zenon_L20_); trivial. % 1.28/1.44 (* end of lemma zenon_L921_ *) % 1.28/1.44 assert (zenon_L922_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2262)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H22e zenon_H7b zenon_H7a zenon_H79 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.28/1.44 apply (zenon_L35_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.28/1.44 apply (zenon_L165_); trivial. % 1.28/1.44 exact (zenon_H1 zenon_H2). % 1.28/1.44 (* end of lemma zenon_L922_ *) % 1.28/1.44 assert (zenon_L923_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp13)) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hc2 zenon_H183 zenon_H2c zenon_H2b zenon_H2a zenon_H320 zenon_H31f zenon_H31e zenon_H22e zenon_H227 zenon_H226 zenon_H225 zenon_H1. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.44 apply (zenon_L17_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.44 apply (zenon_L884_); trivial. % 1.28/1.44 apply (zenon_L922_); trivial. % 1.28/1.44 (* end of lemma zenon_L923_ *) % 1.28/1.44 assert (zenon_L924_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H3d zenon_Hca zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H197 zenon_H19 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L528_); trivial. % 1.28/1.44 apply (zenon_L923_); trivial. % 1.28/1.44 (* end of lemma zenon_L924_ *) % 1.28/1.44 assert (zenon_L925_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H232 zenon_H43 zenon_Hca zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H197 zenon_H19 zenon_H22e zenon_H1 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.44 apply (zenon_L16_); trivial. % 1.28/1.44 apply (zenon_L924_); trivial. % 1.28/1.44 (* end of lemma zenon_L925_ *) % 1.28/1.44 assert (zenon_L926_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H235 zenon_H43 zenon_Hca zenon_H183 zenon_H31e zenon_H197 zenon_H22e zenon_H1 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H290 zenon_H1a5 zenon_H21 zenon_H27 zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H16d zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_L900_); trivial. % 1.28/1.44 apply (zenon_L920_); trivial. % 1.28/1.44 apply (zenon_L925_); trivial. % 1.28/1.44 (* end of lemma zenon_L926_ *) % 1.28/1.44 assert (zenon_L927_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf4 zenon_Hec zenon_Ha3 zenon_H15 zenon_H3 zenon_H17 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H1f zenon_H1b zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H218 zenon_H1d0 zenon_H1 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.44 apply (zenon_L602_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L160_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.44 apply (zenon_L161_); trivial. % 1.28/1.44 apply (zenon_L737_); trivial. % 1.28/1.44 (* end of lemma zenon_L927_ *) % 1.28/1.44 assert (zenon_L928_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H1d0 zenon_H218 zenon_H112 zenon_H113 zenon_H12a zenon_H21c zenon_H1b zenon_H1f zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H17 zenon_H3 zenon_Ha3 zenon_Hec zenon_Hf4. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.44 apply (zenon_L927_); trivial. % 1.28/1.44 apply (zenon_L903_); trivial. % 1.28/1.44 (* end of lemma zenon_L928_ *) % 1.28/1.44 assert (zenon_L929_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H218 zenon_H21c zenon_H1b zenon_H1f zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H17 zenon_H3 zenon_Ha3 zenon_Hec zenon_Hf4 zenon_H17f zenon_H2a1 zenon_H201. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.44 apply (zenon_L928_); trivial. % 1.28/1.44 apply (zenon_L905_); trivial. % 1.28/1.44 apply (zenon_L906_); trivial. % 1.28/1.44 (* end of lemma zenon_L929_ *) % 1.28/1.44 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.28/1.44 do 0 intro. intros zenon_H152 zenon_Hc3 zenon_H49 zenon_H79 zenon_H7b zenon_Ha5 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.44 apply (zenon_L88_); trivial. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.44 apply (zenon_L46_); trivial. % 1.28/1.44 exact (zenon_H5 zenon_H6). % 1.28/1.44 (* end of lemma zenon_L930_ *) % 1.28/1.44 assert (zenon_L931_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_Hf3 zenon_Hac zenon_H235 zenon_H22e zenon_H1b zenon_H2fb zenon_H1 zenon_H1d0 zenon_H218 zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_H155 zenon_Hca zenon_Hed zenon_H21c zenon_H12a zenon_H113 zenon_H112 zenon_H22f zenon_H46. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.44 apply (zenon_L900_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.44 apply (zenon_L25_); trivial. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.44 apply (zenon_L86_); trivial. % 1.28/1.44 apply (zenon_L930_); trivial. % 1.28/1.44 apply (zenon_L576_); trivial. % 1.28/1.44 apply (zenon_L518_); trivial. % 1.28/1.44 apply (zenon_L90_); trivial. % 1.28/1.44 (* end of lemma zenon_L931_ *) % 1.28/1.44 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2175))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.44 do 0 intro. intros zenon_H126 zenon_H127 zenon_H17 zenon_Hf3 zenon_Hac zenon_H235 zenon_H22e zenon_H1b zenon_H2fb zenon_H218 zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_H155 zenon_Hca zenon_Hed zenon_H21c zenon_H22f zenon_H46 zenon_H193 zenon_H31e zenon_H17f zenon_H2a1 zenon_H201. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.44 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.44 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.44 apply (zenon_L931_); trivial. % 1.28/1.44 apply (zenon_L905_); trivial. % 1.28/1.44 apply (zenon_L906_); trivial. % 1.28/1.44 (* end of lemma zenon_L932_ *) % 1.28/1.44 assert (zenon_L933_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36))))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp10)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1d4 zenon_H1c9 zenon_H1c8 zenon_H1eb zenon_H1c7 zenon_Ha zenon_H19 zenon_H5. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1d5 ]. % 1.28/1.45 apply (zenon_L148_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1a | zenon_intro zenon_H6 ]. % 1.28/1.45 exact (zenon_H19 zenon_H1a). % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 (* end of lemma zenon_L933_ *) % 1.28/1.45 assert (zenon_L934_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hec zenon_H276 zenon_H23 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H1d4 zenon_H5 zenon_H19 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_Ha zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.28/1.45 apply (zenon_L933_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.28/1.45 apply (zenon_L404_); trivial. % 1.28/1.45 exact (zenon_H10c zenon_H10d). % 1.28/1.45 apply (zenon_L916_); trivial. % 1.28/1.45 (* end of lemma zenon_L934_ *) % 1.28/1.45 assert (zenon_L935_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hed zenon_Hc3 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H49 zenon_H18a zenon_H1f9 zenon_H10c zenon_H50 zenon_H52 zenon_H71 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H19 zenon_H5 zenon_H1d4 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H23 zenon_H276 zenon_Hec. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L934_); trivial. % 1.28/1.45 apply (zenon_L370_); trivial. % 1.28/1.45 (* end of lemma zenon_L935_ *) % 1.28/1.45 assert (zenon_L936_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H1f8 zenon_Hec zenon_H276 zenon_H23 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H1d4 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H71 zenon_H1f9 zenon_H18a zenon_H49 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hc3 zenon_Hed zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L131_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_L935_); trivial. % 1.28/1.45 apply (zenon_L896_); trivial. % 1.28/1.45 (* end of lemma zenon_L936_ *) % 1.28/1.45 assert (zenon_L937_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H1f8 zenon_Hec zenon_H276 zenon_H23 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H1d4 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H71 zenon_H1f9 zenon_H18a zenon_H49 zenon_Hc3 zenon_Hed zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H17. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.45 apply (zenon_L8_); trivial. % 1.28/1.45 apply (zenon_L936_); trivial. % 1.28/1.45 (* end of lemma zenon_L937_ *) % 1.28/1.45 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H126 zenon_H127 zenon_H17 zenon_Hf3 zenon_Hac zenon_H235 zenon_H22e zenon_H1b zenon_H2fb zenon_H218 zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H5 zenon_H1d4 zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_H155 zenon_Hca zenon_Hed zenon_H21c zenon_H22f zenon_H46 zenon_H193 zenon_H31e zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H201. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.45 apply (zenon_L931_); trivial. % 1.28/1.45 apply (zenon_L912_); trivial. % 1.28/1.45 apply (zenon_L906_); trivial. % 1.28/1.45 (* end of lemma zenon_L938_ *) % 1.28/1.45 assert (zenon_L939_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(hskp29)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H78 zenon_H145. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H7a | zenon_intro zenon_H275 ]. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H59 | zenon_intro zenon_H146 ]. % 1.28/1.45 apply (zenon_L324_); trivial. % 1.28/1.45 exact (zenon_H145 zenon_H146). % 1.28/1.45 (* end of lemma zenon_L939_ *) % 1.28/1.45 assert (zenon_L940_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> False). % 1.28/1.45 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H1d7 zenon_H1d6 zenon_H29 zenon_H1a6 zenon_Ha zenon_H13c zenon_H13d zenon_H13e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.28/1.45 apply (zenon_L181_); trivial. % 1.28/1.45 apply (zenon_L127_); trivial. % 1.28/1.45 (* end of lemma zenon_L940_ *) % 1.28/1.45 assert (zenon_L941_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp29)) -> (c3_1 (a2193)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp11)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1f8 zenon_H145 zenon_H1d8 zenon_H274 zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H29 zenon_H1d6 zenon_H1d7 zenon_H26b zenon_H26c zenon_H26d zenon_He0 zenon_H10c. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.28/1.45 apply (zenon_L939_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.28/1.45 apply (zenon_L940_); trivial. % 1.28/1.45 exact (zenon_H10c zenon_H10d). % 1.28/1.45 (* end of lemma zenon_L941_ *) % 1.28/1.45 assert (zenon_L942_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2193)) -> (~(hskp29)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (ndr1_0) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H183 zenon_H10c zenon_He0 zenon_H1d7 zenon_H1d6 zenon_H13c zenon_H13d zenon_H13e zenon_H274 zenon_H1d8 zenon_H145 zenon_H1f8 zenon_H320 zenon_H31f zenon_H31e zenon_Ha zenon_H26b zenon_H26c zenon_H26d. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.45 apply (zenon_L941_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.45 apply (zenon_L884_); trivial. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 (* end of lemma zenon_L942_ *) % 1.28/1.45 assert (zenon_L943_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1fd zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_H1f8 zenon_H10c zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.28/1.45 apply (zenon_L942_); trivial. % 1.28/1.45 apply (zenon_L234_); trivial. % 1.28/1.45 (* end of lemma zenon_L943_ *) % 1.28/1.45 assert (zenon_L944_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp13)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H201 zenon_H155 zenon_H276 zenon_H23 zenon_H1f8 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H1d4 zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6 zenon_H1 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.45 apply (zenon_L782_); trivial. % 1.28/1.45 apply (zenon_L943_); trivial. % 1.28/1.45 (* end of lemma zenon_L944_ *) % 1.28/1.45 assert (zenon_L945_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H127 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_H1ae zenon_H122 zenon_Heb zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_He7 zenon_H21c zenon_Hec zenon_Hca zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1d4 zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_He0 zenon_H1f8 zenon_H23 zenon_H276 zenon_H155 zenon_H201. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_L944_); trivial. % 1.28/1.45 apply (zenon_L138_); trivial. % 1.28/1.45 (* end of lemma zenon_L945_ *) % 1.28/1.45 assert (zenon_L946_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H201 zenon_H155 zenon_H276 zenon_H23 zenon_H1f8 zenon_H10c zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H218 zenon_H1 zenon_He6 zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H13c zenon_H13d zenon_H13e zenon_H21c zenon_H18b zenon_Hec zenon_Hca zenon_Hed zenon_H1b zenon_H1f zenon_H110 zenon_H197 zenon_H1a5 zenon_He7 zenon_Hf4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.45 apply (zenon_L173_); trivial. % 1.28/1.45 apply (zenon_L943_); trivial. % 1.28/1.45 (* end of lemma zenon_L946_ *) % 1.28/1.45 assert (zenon_L947_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> False). % 1.28/1.45 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_H13c zenon_H13d zenon_H13e zenon_Hb9 zenon_Hba zenon_Hbb zenon_H18b zenon_Ha zenon_H15e zenon_H15f zenon_H160 zenon_H161. % 1.28/1.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.28/1.45 apply (zenon_L232_); trivial. % 1.28/1.45 apply (zenon_L97_); trivial. % 1.28/1.45 (* end of lemma zenon_L947_ *) % 1.28/1.45 assert (zenon_L948_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hc9 zenon_H1f7 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H161 zenon_H160 zenon_H15e zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H50 zenon_H52 zenon_H5a zenon_H26b zenon_H26c zenon_H26d zenon_He0 zenon_H1c7 zenon_H1c8 zenon_H1c9. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.28/1.45 apply (zenon_L60_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.28/1.45 apply (zenon_L947_); trivial. % 1.28/1.45 apply (zenon_L140_); trivial. % 1.28/1.45 (* end of lemma zenon_L948_ *) % 1.28/1.45 assert (zenon_L949_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hed zenon_H1f7 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H26b zenon_H26c zenon_H26d zenon_H18b zenon_H5a zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H15e zenon_H160 zenon_H161 zenon_He0 zenon_H209 zenon_H205 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L159_); trivial. % 1.28/1.45 apply (zenon_L948_); trivial. % 1.28/1.45 (* end of lemma zenon_L949_ *) % 1.28/1.45 assert (zenon_L950_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_H235 zenon_H155 zenon_H276 zenon_H23 zenon_H12c zenon_H12d zenon_H12e zenon_H22f zenon_H274 zenon_He7 zenon_H217 zenon_H10a zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_He0 zenon_H161 zenon_H160 zenon_H15e zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H26d zenon_H26c zenon_H26b zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H1f7 zenon_Hed zenon_H3 zenon_H17. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.45 apply (zenon_L8_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.45 apply (zenon_L949_); trivial. % 1.28/1.45 apply (zenon_L240_); trivial. % 1.28/1.45 (* end of lemma zenon_L950_ *) % 1.28/1.45 assert (zenon_L951_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H17 zenon_Hca zenon_H10a zenon_H3 zenon_H26b zenon_H26c zenon_H26d zenon_H49 zenon_Ha5 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H218 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H183 zenon_H201. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.28/1.45 apply (zenon_L230_); trivial. % 1.28/1.45 apply (zenon_L912_); trivial. % 1.28/1.45 apply (zenon_L906_); trivial. % 1.28/1.45 (* end of lemma zenon_L951_ *) % 1.28/1.45 assert (zenon_L952_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H156 zenon_H12b zenon_H49 zenon_Ha5 zenon_H193 zenon_H127 zenon_Hf3 zenon_H1c5 zenon_H1c1 zenon_H1b2 zenon_H122 zenon_H17 zenon_Hf4 zenon_He7 zenon_H1a5 zenon_H197 zenon_H110 zenon_H1f zenon_H1b zenon_Hed zenon_Hca zenon_Hec zenon_H18b zenon_H21c zenon_H13e zenon_H13d zenon_H13c zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_He6 zenon_H218 zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_He0 zenon_H1f8 zenon_H23 zenon_H276 zenon_H155 zenon_H201 zenon_H1f7 zenon_H15e zenon_H160 zenon_H161 zenon_H204. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_L946_); trivial. % 1.28/1.45 apply (zenon_L731_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_L946_); trivial. % 1.28/1.45 apply (zenon_L950_); trivial. % 1.28/1.45 apply (zenon_L951_); trivial. % 1.28/1.45 (* end of lemma zenon_L952_ *) % 1.28/1.45 assert (zenon_L953_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hab zenon_Hc3 zenon_H49 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H79 zenon_H7b zenon_Ha5 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.45 apply (zenon_L40_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.45 apply (zenon_L46_); trivial. % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 (* end of lemma zenon_L953_ *) % 1.28/1.45 assert (zenon_L954_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H235 zenon_H22e zenon_H15 zenon_H2fb zenon_H217 zenon_Hc3 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H218 zenon_H1d0 zenon_H1 zenon_He6 zenon_H1b zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_Ha5 zenon_H49 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_Hec zenon_Hca zenon_Hed. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L900_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.45 apply (zenon_L160_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.28/1.45 apply (zenon_L161_); trivial. % 1.28/1.45 apply (zenon_L953_); trivial. % 1.28/1.45 apply (zenon_L576_); trivial. % 1.28/1.45 (* end of lemma zenon_L954_ *) % 1.28/1.45 assert (zenon_L955_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(hskp7)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H42 zenon_H2a1 zenon_H27f zenon_H280 zenon_H281 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H320 zenon_H31f zenon_H31e zenon_H17f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.28/1.45 apply (zenon_L761_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.28/1.45 apply (zenon_L884_); trivial. % 1.28/1.45 exact (zenon_H17f zenon_H180). % 1.28/1.45 (* end of lemma zenon_L955_ *) % 1.28/1.45 assert (zenon_L956_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a2175))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H31e zenon_Hed zenon_Hca zenon_Hec zenon_Ha3 zenon_H49 zenon_Ha5 zenon_H12c zenon_H12d zenon_H12e zenon_H21a zenon_H1b zenon_He6 zenon_H1d0 zenon_H218 zenon_H209 zenon_H1d4 zenon_H5 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_Hc3 zenon_H217 zenon_H2fb zenon_H15 zenon_H22e zenon_H235 zenon_Ha zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L254_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_L954_); trivial. % 1.28/1.45 apply (zenon_L955_); trivial. % 1.28/1.45 (* end of lemma zenon_L956_ *) % 1.28/1.45 assert (zenon_L957_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c1_1 (a2268)) -> (~(c0_1 (a2268))) -> (~(c2_1 (a2268))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hc3 zenon_H19b zenon_H199 zenon_H19a zenon_H1c6 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.28/1.45 apply (zenon_L414_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.28/1.45 apply (zenon_L46_); trivial. % 1.28/1.45 exact (zenon_H5 zenon_H6). % 1.28/1.45 (* end of lemma zenon_L957_ *) % 1.28/1.45 assert (zenon_L958_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (~(hskp10)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1a2 zenon_H290 zenon_H2c zenon_H2b zenon_H2a zenon_H281 zenon_H280 zenon_H27f zenon_Hc3 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H5. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.28/1.45 apply (zenon_L17_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.28/1.45 apply (zenon_L242_); trivial. % 1.28/1.45 apply (zenon_L957_); trivial. % 1.28/1.45 (* end of lemma zenon_L958_ *) % 1.28/1.45 assert (zenon_L959_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1a5 zenon_H290 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3 zenon_H281 zenon_H280 zenon_H27f zenon_H2c zenon_H2b zenon_H2a zenon_H47 zenon_H19 zenon_H197. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.28/1.45 apply (zenon_L118_); trivial. % 1.28/1.45 apply (zenon_L958_); trivial. % 1.28/1.45 (* end of lemma zenon_L959_ *) % 1.28/1.45 assert (zenon_L960_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hc9 zenon_H43 zenon_Hca zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H197 zenon_H19 zenon_H27f zenon_H280 zenon_H281 zenon_Hc3 zenon_H5 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.28/1.45 apply (zenon_L16_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.45 apply (zenon_L959_); trivial. % 1.28/1.45 apply (zenon_L890_); trivial. % 1.28/1.45 (* end of lemma zenon_L960_ *) % 1.28/1.45 assert (zenon_L961_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c0_1 (a2175))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_Hca zenon_Hac zenon_H49 zenon_Ha5 zenon_H21a zenon_He6 zenon_H197 zenon_H290 zenon_H185 zenon_H320 zenon_H31f zenon_H5 zenon_Hc3 zenon_H71 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H276 zenon_Hec zenon_H1a5 zenon_H281 zenon_H280 zenon_H27f zenon_H31e zenon_H183 zenon_Hed zenon_H1f zenon_H1b zenon_H27 zenon_H23 zenon_H21 zenon_H3 zenon_H3e zenon_H43 zenon_H46. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L21_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L919_); trivial. % 1.28/1.45 apply (zenon_L960_); trivial. % 1.28/1.45 apply (zenon_L20_); trivial. % 1.28/1.45 (* end of lemma zenon_L961_ *) % 1.28/1.45 assert (zenon_L962_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hed zenon_H43 zenon_Hca zenon_H183 zenon_H31e zenon_H197 zenon_H27f zenon_H280 zenon_H281 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H205 zenon_H1d4 zenon_H5 zenon_H19 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_Hc3 zenon_H217. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L900_); trivial. % 1.28/1.45 apply (zenon_L960_); trivial. % 1.28/1.45 (* end of lemma zenon_L962_ *) % 1.28/1.45 assert (zenon_L963_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_Ha3 zenon_Hed zenon_H43 zenon_Hca zenon_H183 zenon_H31e zenon_H197 zenon_H290 zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H209 zenon_H1d4 zenon_H5 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_Hc3 zenon_H217 zenon_H22e zenon_H235 zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L254_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.45 apply (zenon_L962_); trivial. % 1.28/1.45 apply (zenon_L925_); trivial. % 1.28/1.45 apply (zenon_L955_); trivial. % 1.28/1.45 (* end of lemma zenon_L963_ *) % 1.28/1.45 assert (zenon_L964_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_Ha3 zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1d4 zenon_Ha zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L254_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_L143_); trivial. % 1.28/1.45 apply (zenon_L955_); trivial. % 1.28/1.45 (* end of lemma zenon_L964_ *) % 1.28/1.45 assert (zenon_L965_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H159 zenon_H127 zenon_Hf3 zenon_Hca zenon_H155 zenon_Hac zenon_Ha5 zenon_H147 zenon_H49 zenon_H4b zenon_H4d zenon_H3 zenon_H17 zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_H1d4 zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_Ha3 zenon_H31e zenon_H31f zenon_H320 zenon_H17f zenon_H2a1 zenon_H46 zenon_Hf4 zenon_H201 zenon_H193 zenon_H22f zenon_H21c zenon_Hed zenon_H209 zenon_H185 zenon_Hc3 zenon_H217 zenon_H218 zenon_H2fb zenon_H1b zenon_H22e zenon_H235 zenon_H12b. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_L964_); trivial. % 1.28/1.45 apply (zenon_L91_); trivial. % 1.28/1.45 apply (zenon_L932_); trivial. % 1.28/1.45 apply (zenon_L893_); trivial. % 1.28/1.45 (* end of lemma zenon_L965_ *) % 1.28/1.45 assert (zenon_L966_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H127 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_H1ae zenon_H122 zenon_Heb zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_H1d4 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_Ha3 zenon_H31e zenon_H31f zenon_H320 zenon_H17f zenon_H2a1 zenon_H46 zenon_Hf4. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_L964_); trivial. % 1.28/1.45 apply (zenon_L138_); trivial. % 1.28/1.45 (* end of lemma zenon_L966_ *) % 1.28/1.45 assert (zenon_L967_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hed zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H1f9 zenon_H10c zenon_H50 zenon_H52 zenon_H71 zenon_Ha zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H19 zenon_H5 zenon_H1d4 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H23 zenon_H276 zenon_Hec. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L934_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.28/1.45 apply (zenon_L933_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.28/1.45 apply (zenon_L592_); trivial. % 1.28/1.45 exact (zenon_H10c zenon_H10d). % 1.28/1.45 (* end of lemma zenon_L967_ *) % 1.28/1.45 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H27f zenon_H280 zenon_H281 zenon_Hec zenon_H276 zenon_H23 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H1d4 zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H71 zenon_H1f9 zenon_H18b zenon_Hed zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H3 zenon_H17. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.45 apply (zenon_L8_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L131_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_L967_); trivial. % 1.28/1.45 apply (zenon_L955_); trivial. % 1.28/1.45 (* end of lemma zenon_L968_ *) % 1.28/1.45 assert (zenon_L969_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> (~(c1_1 (a2197))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H214 zenon_H10a zenon_H35 zenon_H36 zenon_H34 zenon_H27f zenon_H280 zenon_H281 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H3. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.28/1.45 apply (zenon_L761_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.28/1.45 apply (zenon_L157_); trivial. % 1.28/1.45 exact (zenon_H3 zenon_H4). % 1.28/1.45 (* end of lemma zenon_L969_ *) % 1.28/1.45 assert (zenon_L970_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2197))) -> (c3_1 (a2197)) -> (c2_1 (a2197)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H217 zenon_H10a zenon_H3 zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_H34 zenon_H36 zenon_H35 zenon_Ha3 zenon_H205 zenon_H61 zenon_H209. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.28/1.45 apply (zenon_L156_); trivial. % 1.28/1.45 apply (zenon_L969_); trivial. % 1.28/1.45 (* end of lemma zenon_L970_ *) % 1.28/1.45 assert (zenon_L971_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H235 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_Ha3 zenon_H1f8 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1d4 zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L254_); trivial. % 1.28/1.45 apply (zenon_L910_); trivial. % 1.28/1.45 (* end of lemma zenon_L971_ *) % 1.28/1.45 assert (zenon_L972_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hf3 zenon_Hca zenon_Hac zenon_Ha5 zenon_H49 zenon_H4d zenon_H17 zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_Hed zenon_H155 zenon_H110 zenon_H18b zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147 zenon_H209 zenon_H3 zenon_H10a zenon_H217 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H22e zenon_H235 zenon_Hf4. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L254_); trivial. % 1.28/1.45 apply (zenon_L319_); trivial. % 1.28/1.45 apply (zenon_L91_); trivial. % 1.28/1.45 (* end of lemma zenon_L972_ *) % 1.28/1.45 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H235 zenon_H22f zenon_He7 zenon_H217 zenon_H10a zenon_H3 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H209 zenon_H274 zenon_H18b zenon_H26d zenon_H26c zenon_H26b zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.28/1.45 apply (zenon_L131_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.28/1.45 apply (zenon_L143_); trivial. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.28/1.45 apply (zenon_L970_); trivial. % 1.28/1.45 apply (zenon_L235_); trivial. % 1.28/1.45 apply (zenon_L240_); trivial. % 1.28/1.45 (* end of lemma zenon_L973_ *) % 1.28/1.45 assert (zenon_L974_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> False). % 1.28/1.45 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H235 zenon_H22f zenon_He7 zenon_H217 zenon_H10a zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H209 zenon_H274 zenon_H18b zenon_H26d zenon_H26c zenon_H26b zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H1d4 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H3 zenon_H17. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.28/1.45 apply (zenon_L8_); trivial. % 1.28/1.45 apply (zenon_L973_); trivial. % 1.28/1.45 (* end of lemma zenon_L974_ *) % 1.28/1.45 assert (zenon_L975_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H1fd zenon_H183 zenon_H298 zenon_H297 zenon_H296 zenon_He0 zenon_H320 zenon_H31f zenon_H31e zenon_H26b zenon_H26c zenon_H26d. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.28/1.45 apply (zenon_L303_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.28/1.45 apply (zenon_L884_); trivial. % 1.28/1.45 apply (zenon_L225_); trivial. % 1.28/1.45 (* end of lemma zenon_L975_ *) % 1.28/1.45 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hc2 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H320 zenon_H31f zenon_H31e. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.28/1.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.28/1.45 apply (zenon_L331_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.28/1.45 apply (zenon_L884_); trivial. % 1.28/1.45 apply (zenon_L419_); trivial. % 1.28/1.45 (* end of lemma zenon_L976_ *) % 1.28/1.45 assert (zenon_L977_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.28/1.45 do 0 intro. intros zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H49 zenon_H4b zenon_H4d. % 1.28/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.28/1.45 apply (zenon_L25_); trivial. % 1.28/1.45 apply (zenon_L976_); trivial. % 1.28/1.45 (* end of lemma zenon_L977_ *) % 1.28/1.45 assert (zenon_L978_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2196)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H2c3 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H14a zenon_H14b zenon_H149 zenon_H2e0 zenon_Ha zenon_H49. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.28/1.45 apply (zenon_L331_); trivial. % 1.28/1.45 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.28/1.45 apply (zenon_L854_); trivial. % 1.28/1.45 exact (zenon_H49 zenon_H4a). % 1.28/1.45 (* end of lemma zenon_L978_ *) % 1.28/1.45 assert (zenon_L979_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp2)) -> False). % 1.28/1.45 do 0 intro. intros zenon_H152 zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2c3 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H49. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.28/1.45 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.46 apply (zenon_L331_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L978_); trivial. % 1.32/1.46 (* end of lemma zenon_L979_ *) % 1.32/1.46 assert (zenon_L980_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H155 zenon_H2ea zenon_H49 zenon_H2c3 zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H16d zenon_H5 zenon_H10c zenon_H161 zenon_H160 zenon_H15e zenon_Ha zenon_H19 zenon_H16f. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L99_); trivial. % 1.32/1.46 apply (zenon_L979_); trivial. % 1.32/1.46 (* end of lemma zenon_L980_ *) % 1.32/1.46 assert (zenon_L981_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1 zenon_H1d0 zenon_H218. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.46 apply (zenon_L160_); trivial. % 1.32/1.46 apply (zenon_L976_); trivial. % 1.32/1.46 (* end of lemma zenon_L981_ *) % 1.32/1.46 assert (zenon_L982_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H201 zenon_H2a1 zenon_H17f zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_L905_); trivial. % 1.32/1.46 (* end of lemma zenon_L982_ *) % 1.32/1.46 assert (zenon_L983_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H3 zenon_H17 zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_H193 zenon_H17f zenon_H2a1 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_L982_); trivial. % 1.32/1.46 apply (zenon_L906_); trivial. % 1.32/1.46 (* end of lemma zenon_L983_ *) % 1.32/1.46 assert (zenon_L984_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H159 zenon_H46 zenon_H43 zenon_H3e zenon_H3 zenon_H21 zenon_H23 zenon_H27 zenon_H16f zenon_Ha zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2c3 zenon_H49 zenon_H2ea zenon_H155 zenon_H201 zenon_H2a1 zenon_H17f zenon_H193 zenon_H218 zenon_Hca zenon_H17 zenon_Hf3 zenon_H127 zenon_H12b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.46 apply (zenon_L980_); trivial. % 1.32/1.46 apply (zenon_L20_); trivial. % 1.32/1.46 apply (zenon_L983_); trivial. % 1.32/1.46 apply (zenon_L893_); trivial. % 1.32/1.46 (* end of lemma zenon_L984_ *) % 1.32/1.46 assert (zenon_L985_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hea zenon_H46 zenon_H2a1 zenon_H17f zenon_Ha3 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2c3 zenon_H49 zenon_H2ea zenon_H155. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.46 apply (zenon_L980_); trivial. % 1.32/1.46 apply (zenon_L896_); trivial. % 1.32/1.46 (* end of lemma zenon_L985_ *) % 1.32/1.46 assert (zenon_L986_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c1_1 (a2189)) -> (~(c3_1 (a2189))) -> (~(c2_1 (a2189))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp2)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H42 zenon_H2c3 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H1c9 zenon_H1c8 zenon_H1c7 zenon_H16d zenon_H161 zenon_H160 zenon_H15e zenon_H10c zenon_H5 zenon_H1f7 zenon_H49. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.32/1.46 apply (zenon_L331_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.32/1.46 apply (zenon_L146_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.32/1.46 apply (zenon_L98_); trivial. % 1.32/1.46 apply (zenon_L140_); trivial. % 1.32/1.46 exact (zenon_H49 zenon_H4a). % 1.32/1.46 (* end of lemma zenon_L986_ *) % 1.32/1.46 assert (zenon_L987_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H200 zenon_H46 zenon_H1f7 zenon_H16f zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2c3 zenon_H49 zenon_H2ea zenon_H155. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.46 apply (zenon_L980_); trivial. % 1.32/1.46 apply (zenon_L986_); trivial. % 1.32/1.46 (* end of lemma zenon_L987_ *) % 1.32/1.46 assert (zenon_L988_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H155 zenon_H2ea zenon_H49 zenon_H2c3 zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L86_); trivial. % 1.32/1.46 apply (zenon_L979_); trivial. % 1.32/1.46 (* end of lemma zenon_L988_ *) % 1.32/1.46 assert (zenon_L989_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> False). % 1.32/1.46 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H1d8 zenon_H1d7 zenon_H78 zenon_H1d6 zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b zenon_H14a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.32/1.46 apply (zenon_L36_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.32/1.46 apply (zenon_L144_); trivial. % 1.32/1.46 apply (zenon_L854_); trivial. % 1.32/1.46 (* end of lemma zenon_L989_ *) % 1.32/1.46 assert (zenon_L990_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hac zenon_H2e0 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1d8 zenon_H1d6 zenon_H29 zenon_H1d7 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.46 apply (zenon_L989_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.46 apply (zenon_L200_); trivial. % 1.32/1.46 apply (zenon_L87_); trivial. % 1.32/1.46 (* end of lemma zenon_L990_ *) % 1.32/1.46 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H152 zenon_H183 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H26b zenon_H26c zenon_H26d. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.46 apply (zenon_L331_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L990_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L225_); trivial. % 1.32/1.46 (* end of lemma zenon_L991_ *) % 1.32/1.46 assert (zenon_L992_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hea zenon_H155 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_Ha3 zenon_H2ea zenon_H1f8 zenon_H10c zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L942_); trivial. % 1.32/1.46 apply (zenon_L991_); trivial. % 1.32/1.46 (* end of lemma zenon_L992_ *) % 1.32/1.46 assert (zenon_L993_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H155 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_Ha3 zenon_H2ea zenon_H1f8 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L131_); trivial. % 1.32/1.46 apply (zenon_L992_); trivial. % 1.32/1.46 (* end of lemma zenon_L993_ *) % 1.32/1.46 assert (zenon_L994_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H201 zenon_Hf4 zenon_H155 zenon_Hac zenon_Ha3 zenon_H1f8 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H183 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_L993_); trivial. % 1.32/1.46 (* end of lemma zenon_L994_ *) % 1.32/1.46 assert (zenon_L995_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H127 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_Heb zenon_H122 zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H183 zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_He0 zenon_H1f8 zenon_Ha3 zenon_Hac zenon_H155 zenon_Hf4 zenon_H201. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_L994_); trivial. % 1.32/1.46 apply (zenon_L138_); trivial. % 1.32/1.46 (* end of lemma zenon_L995_ *) % 1.32/1.46 assert (zenon_L996_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H201 zenon_H183 zenon_H26d zenon_H26c zenon_H26b zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_L912_); trivial. % 1.32/1.46 (* end of lemma zenon_L996_ *) % 1.32/1.46 assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H3 zenon_H17 zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_H193 zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_L996_); trivial. % 1.32/1.46 apply (zenon_L906_); trivial. % 1.32/1.46 (* end of lemma zenon_L997_ *) % 1.32/1.46 assert (zenon_L998_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H201 zenon_H155 zenon_H276 zenon_H23 zenon_H12e zenon_H12d zenon_H12c zenon_H1f8 zenon_H10c zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H183 zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_L943_); trivial. % 1.32/1.46 (* end of lemma zenon_L998_ *) % 1.32/1.46 assert (zenon_L999_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H22f zenon_H26c zenon_H26d zenon_H26b zenon_H2e0 zenon_Ha zenon_H225 zenon_H226 zenon_H227. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H7a | zenon_intro zenon_H231 ]. % 1.32/1.46 apply (zenon_L225_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H33 | zenon_intro zenon_H224 ]. % 1.32/1.46 apply (zenon_L859_); trivial. % 1.32/1.46 apply (zenon_L165_); trivial. % 1.32/1.46 (* end of lemma zenon_L999_ *) % 1.32/1.46 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H232 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H320 zenon_H31f zenon_H31e zenon_H22f zenon_H26c zenon_H26d zenon_H26b. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.46 apply (zenon_L331_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L999_); trivial. % 1.32/1.46 (* end of lemma zenon_L1000_ *) % 1.32/1.46 assert (zenon_L1001_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> (~(hskp0)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H43 zenon_Hca zenon_H2ea zenon_H31e zenon_H197 zenon_H19 zenon_H290 zenon_H185 zenon_H3 zenon_H320 zenon_H31f zenon_H5 zenon_Hc3 zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec zenon_H1a5 zenon_H21 zenon_H23 zenon_H27. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.46 apply (zenon_L16_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.46 apply (zenon_L118_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.46 apply (zenon_L915_); trivial. % 1.32/1.46 apply (zenon_L332_); trivial. % 1.32/1.46 apply (zenon_L976_); trivial. % 1.32/1.46 (* end of lemma zenon_L1001_ *) % 1.32/1.46 assert (zenon_L1002_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(hskp0)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((hskp0)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c0_1 (a2175))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hed zenon_H183 zenon_H27f zenon_H280 zenon_H281 zenon_H27 zenon_H23 zenon_H21 zenon_H1a5 zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H71 zenon_H52 zenon_H50 zenon_Hc3 zenon_H5 zenon_H31f zenon_H320 zenon_H3 zenon_H185 zenon_H290 zenon_H19 zenon_H197 zenon_H31e zenon_H2ea zenon_Hca zenon_H43. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.46 apply (zenon_L1001_); trivial. % 1.32/1.46 apply (zenon_L960_); trivial. % 1.32/1.46 (* end of lemma zenon_L1002_ *) % 1.32/1.46 assert (zenon_L1003_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1f9 zenon_H5 zenon_H19 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H1d4 zenon_H1d8 zenon_H1d7 zenon_H29 zenon_H1d6 zenon_Ha zenon_H10c. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.32/1.46 apply (zenon_L933_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_L255_); trivial. % 1.32/1.46 exact (zenon_H10c zenon_H10d). % 1.32/1.46 (* end of lemma zenon_L1003_ *) % 1.32/1.46 assert (zenon_L1004_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H235 zenon_H2ea zenon_H22f zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H274 zenon_H50 zenon_H52 zenon_H5a zenon_H18b zenon_H26d zenon_H26c zenon_H26b zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.46 apply (zenon_L573_); trivial. % 1.32/1.46 apply (zenon_L235_); trivial. % 1.32/1.46 apply (zenon_L1000_); trivial. % 1.32/1.46 (* end of lemma zenon_L1004_ *) % 1.32/1.46 assert (zenon_L1005_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> False). % 1.32/1.46 do 0 intro. intros zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b zenon_H14a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 1.32/1.46 apply (zenon_L36_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha0 ]. % 1.32/1.46 apply (zenon_L242_); trivial. % 1.32/1.46 apply (zenon_L854_); trivial. % 1.32/1.46 (* end of lemma zenon_L1005_ *) % 1.32/1.46 assert (zenon_L1006_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H152 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H320 zenon_H31f zenon_H31e zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H281 zenon_H280 zenon_H27f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.46 apply (zenon_L331_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L1005_); trivial. % 1.32/1.46 (* end of lemma zenon_L1006_ *) % 1.32/1.46 assert (zenon_L1007_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hc9 zenon_H155 zenon_H2ea zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H26b zenon_H26c zenon_H26d zenon_H18b zenon_H5a zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H274. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L233_); trivial. % 1.32/1.46 apply (zenon_L1006_); trivial. % 1.32/1.46 (* end of lemma zenon_L1007_ *) % 1.32/1.46 assert (zenon_L1008_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H201 zenon_Hf4 zenon_H155 zenon_Hac zenon_Ha3 zenon_H1f8 zenon_H10c zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H183 zenon_H27f zenon_H280 zenon_H281 zenon_H11e zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L254_); trivial. % 1.32/1.46 apply (zenon_L992_); trivial. % 1.32/1.46 (* end of lemma zenon_L1008_ *) % 1.32/1.46 assert (zenon_L1009_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H235 zenon_H2ea zenon_H26b zenon_H26c zenon_H26d zenon_H22f zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H217 zenon_H10a zenon_H3 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H209 zenon_H18b zenon_H5a zenon_H52 zenon_H50 zenon_H13e zenon_H13d zenon_H13c zenon_H1d zenon_H122 zenon_Hed. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.46 apply (zenon_L159_); trivial. % 1.32/1.46 apply (zenon_L435_); trivial. % 1.32/1.46 apply (zenon_L1000_); trivial. % 1.32/1.46 (* end of lemma zenon_L1009_ *) % 1.32/1.46 assert (zenon_L1010_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H274 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H155 zenon_Hed zenon_H122 zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H209 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H3 zenon_H10a zenon_H217 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H22f zenon_H26d zenon_H26c zenon_H26b zenon_H2ea zenon_H235. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L1009_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.46 apply (zenon_L159_); trivial. % 1.32/1.46 apply (zenon_L1007_); trivial. % 1.32/1.46 apply (zenon_L1000_); trivial. % 1.32/1.46 (* end of lemma zenon_L1010_ *) % 1.32/1.46 assert (zenon_L1011_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H156 zenon_H12b zenon_H193 zenon_H201 zenon_Hf4 zenon_H155 zenon_Hac zenon_Ha3 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H183 zenon_H27f zenon_H280 zenon_H281 zenon_H11e zenon_H218 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca zenon_H17 zenon_H3 zenon_H235 zenon_H22f zenon_H217 zenon_H10a zenon_H209 zenon_H18b zenon_H122 zenon_Hed zenon_Hf3 zenon_H127. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_L1008_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.46 apply (zenon_L8_); trivial. % 1.32/1.46 apply (zenon_L1010_); trivial. % 1.32/1.46 apply (zenon_L997_); trivial. % 1.32/1.46 (* end of lemma zenon_L1011_ *) % 1.32/1.46 assert (zenon_L1012_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hf3 zenon_H10a zenon_H3 zenon_H17 zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_H26d zenon_H26c zenon_H26b zenon_H183 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L981_); trivial. % 1.32/1.46 apply (zenon_L975_); trivial. % 1.32/1.46 apply (zenon_L308_); trivial. % 1.32/1.46 (* end of lemma zenon_L1012_ *) % 1.32/1.46 assert (zenon_L1013_ : (forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113)))))) -> (ndr1_0) -> (~(c3_1 (a2175))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c0_1 (a2175))) -> (c2_1 (a2175)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H175 zenon_Ha zenon_H31f zenon_Hd6 zenon_H31e zenon_H320. % 1.32/1.46 generalize (zenon_H175 (a2175)). zenon_intro zenon_H327. % 1.32/1.46 apply (zenon_imply_s _ _ zenon_H327); [ zenon_intro zenon_H9 | zenon_intro zenon_H328 ]. % 1.32/1.46 exact (zenon_H9 zenon_Ha). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H326 | zenon_intro zenon_H329 ]. % 1.32/1.46 exact (zenon_H31f zenon_H326). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H32a | zenon_intro zenon_H325 ]. % 1.32/1.46 generalize (zenon_Hd6 (a2175)). zenon_intro zenon_H32e. % 1.32/1.46 apply (zenon_imply_s _ _ zenon_H32e); [ zenon_intro zenon_H9 | zenon_intro zenon_H32f ]. % 1.32/1.46 exact (zenon_H9 zenon_Ha). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H324 | zenon_intro zenon_H330 ]. % 1.32/1.46 exact (zenon_H31e zenon_H324). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H32d | zenon_intro zenon_H325 ]. % 1.32/1.46 exact (zenon_H32a zenon_H32d). % 1.32/1.46 exact (zenon_H325 zenon_H320). % 1.32/1.46 exact (zenon_H325 zenon_H320). % 1.32/1.46 (* end of lemma zenon_L1013_ *) % 1.32/1.46 assert (zenon_L1014_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2175)) -> (~(c0_1 (a2175))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c3_1 (a2175))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H181 zenon_H320 zenon_H31e zenon_Hd6 zenon_H31f zenon_H14b zenon_H14a zenon_H7a zenon_Ha zenon_H17f. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.32/1.46 apply (zenon_L1013_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.32/1.46 apply (zenon_L104_); trivial. % 1.32/1.46 exact (zenon_H17f zenon_H180). % 1.32/1.46 (* end of lemma zenon_L1014_ *) % 1.32/1.46 assert (zenon_L1015_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp7)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H276 zenon_H17f zenon_H7a zenon_H31f zenon_H31e zenon_H320 zenon_H181 zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H23. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H277 ]. % 1.32/1.46 apply (zenon_L1014_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H91 | zenon_intro zenon_H24 ]. % 1.32/1.46 apply (zenon_L87_); trivial. % 1.32/1.46 exact (zenon_H23 zenon_H24). % 1.32/1.46 (* end of lemma zenon_L1015_ *) % 1.32/1.46 assert (zenon_L1016_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp7)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp4)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H152 zenon_H183 zenon_H2c zenon_H2b zenon_H2a zenon_H276 zenon_H17f zenon_H31f zenon_H31e zenon_H320 zenon_H181 zenon_H23. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.46 apply (zenon_L17_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L1015_); trivial. % 1.32/1.46 (* end of lemma zenon_L1016_ *) % 1.32/1.46 assert (zenon_L1017_ : ((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H3d zenon_H155 zenon_H183 zenon_H181 zenon_H17f zenon_H23 zenon_H276 zenon_H320 zenon_H31f zenon_H31e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L442_); trivial. % 1.32/1.46 apply (zenon_L1016_); trivial. % 1.32/1.46 (* end of lemma zenon_L1017_ *) % 1.32/1.46 assert (zenon_L1018_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H43 zenon_H155 zenon_H183 zenon_H181 zenon_H17f zenon_H276 zenon_H320 zenon_H31f zenon_H31e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H21 zenon_H23 zenon_H27. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.46 apply (zenon_L16_); trivial. % 1.32/1.46 apply (zenon_L1017_); trivial. % 1.32/1.46 (* end of lemma zenon_L1018_ *) % 1.32/1.46 assert (zenon_L1019_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H46 zenon_H3e zenon_H3 zenon_H27 zenon_H23 zenon_H21 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H31e zenon_H31f zenon_H320 zenon_H276 zenon_H17f zenon_H181 zenon_H183 zenon_H155 zenon_H43. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.46 apply (zenon_L1018_); trivial. % 1.32/1.46 apply (zenon_L20_); trivial. % 1.32/1.46 (* end of lemma zenon_L1019_ *) % 1.32/1.46 assert (zenon_L1020_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H22e zenon_H1d8 zenon_H1d7 zenon_H29 zenon_H1d6 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H149 zenon_H14a zenon_H14b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.32/1.46 apply (zenon_L520_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.32/1.46 apply (zenon_L165_); trivial. % 1.32/1.46 exact (zenon_H1 zenon_H2). % 1.32/1.46 (* end of lemma zenon_L1020_ *) % 1.32/1.46 assert (zenon_L1021_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H232 zenon_H155 zenon_H183 zenon_H181 zenon_H17f zenon_H23 zenon_H276 zenon_H320 zenon_H31f zenon_H31e zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_H1 zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L442_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.46 apply (zenon_L1020_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L1015_); trivial. % 1.32/1.46 (* end of lemma zenon_L1021_ *) % 1.32/1.46 assert (zenon_L1022_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hac zenon_H90 zenon_H1d8 zenon_H1d6 zenon_H29 zenon_H1d7 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.46 apply (zenon_L144_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.46 apply (zenon_L200_); trivial. % 1.32/1.46 apply (zenon_L87_); trivial. % 1.32/1.46 (* end of lemma zenon_L1022_ *) % 1.32/1.46 assert (zenon_L1023_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (ndr1_0) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1f9 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1f8 zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H1d7 zenon_H29 zenon_H1d6 zenon_H1d8 zenon_Hac zenon_H10c. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.46 apply (zenon_L520_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_L148_); trivial. % 1.32/1.46 exact (zenon_H10c zenon_H10d). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_L1022_); trivial. % 1.32/1.46 exact (zenon_H10c zenon_H10d). % 1.32/1.46 (* end of lemma zenon_L1023_ *) % 1.32/1.46 assert (zenon_L1024_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (c2_1 (a2187)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H16f zenon_H21c zenon_H12a zenon_H218 zenon_H1d0 zenon_H1 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.46 apply (zenon_L788_); trivial. % 1.32/1.46 apply (zenon_L903_); trivial. % 1.32/1.46 (* end of lemma zenon_L1024_ *) % 1.32/1.46 assert (zenon_L1025_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H17f zenon_H2a1 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L1024_); trivial. % 1.32/1.46 apply (zenon_L905_); trivial. % 1.32/1.46 apply (zenon_L906_); trivial. % 1.32/1.46 (* end of lemma zenon_L1025_ *) % 1.32/1.46 assert (zenon_L1026_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H2ff zenon_H17 zenon_H3 zenon_Ha3 zenon_H16f zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L1024_); trivial. % 1.32/1.46 apply (zenon_L912_); trivial. % 1.32/1.46 apply (zenon_L906_); trivial. % 1.32/1.46 (* end of lemma zenon_L1026_ *) % 1.32/1.46 assert (zenon_L1027_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hea zenon_Hca zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1 zenon_H1d0 zenon_H218. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.46 apply (zenon_L160_); trivial. % 1.32/1.46 apply (zenon_L862_); trivial. % 1.32/1.46 (* end of lemma zenon_L1027_ *) % 1.32/1.46 assert (zenon_L1028_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hf4 zenon_Hca zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H1 zenon_H1d0 zenon_H218 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L559_); trivial. % 1.32/1.46 apply (zenon_L1027_); trivial. % 1.32/1.46 (* end of lemma zenon_L1028_ *) % 1.32/1.46 assert (zenon_L1029_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hf3 zenon_H122 zenon_H3 zenon_H10a zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H218 zenon_H1d0 zenon_H1 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2cd zenon_H1be zenon_H26d zenon_H26c zenon_H26b zenon_H110 zenon_Hca zenon_Hf4. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.46 apply (zenon_L1028_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L75_); trivial. % 1.32/1.46 apply (zenon_L1027_); trivial. % 1.32/1.46 (* end of lemma zenon_L1029_ *) % 1.32/1.46 assert (zenon_L1030_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (c2_1 (a2187)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.32/1.46 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H1 zenon_H1d0 zenon_H218 zenon_H12a zenon_H21c zenon_H155 zenon_H21a zenon_H17 zenon_H3 zenon_H113 zenon_H112 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H16f zenon_Hec zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.46 apply (zenon_L559_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.46 apply (zenon_L738_); trivial. % 1.32/1.46 apply (zenon_L518_); trivial. % 1.32/1.46 (* end of lemma zenon_L1030_ *) % 1.32/1.46 assert (zenon_L1031_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_H127 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hec zenon_H16f zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_H3 zenon_H17 zenon_H21a zenon_H155 zenon_H21c zenon_H218 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H46 zenon_Hf4 zenon_H26b zenon_H26c zenon_H26d zenon_H183 zenon_H201. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.46 apply (zenon_L1030_); trivial. % 1.32/1.46 apply (zenon_L903_); trivial. % 1.32/1.46 apply (zenon_L912_); trivial. % 1.32/1.46 apply (zenon_L906_); trivial. % 1.32/1.46 (* end of lemma zenon_L1031_ *) % 1.32/1.46 assert (zenon_L1032_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H15a zenon_H159 zenon_H10a zenon_H2cd zenon_H110 zenon_H1f7 zenon_H204 zenon_H1d2 zenon_H201 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H155 zenon_H276 zenon_H23 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_Hca zenon_Hec zenon_H21c zenon_He7 zenon_H21a zenon_H1b zenon_He6 zenon_H218 zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_Heb zenon_H122 zenon_H16d zenon_H1ae zenon_H1b2 zenon_H1c1 zenon_H1c5 zenon_Hf4 zenon_H127 zenon_Ha3 zenon_H3 zenon_H17 zenon_H2ff zenon_H23e zenon_H193 zenon_Hf3 zenon_H12b. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L676_); trivial. % 1.32/1.46 apply (zenon_L943_); trivial. % 1.32/1.46 apply (zenon_L138_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L477_); trivial. % 1.32/1.46 apply (zenon_L943_); trivial. % 1.32/1.46 apply (zenon_L1026_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.46 apply (zenon_L1029_); trivial. % 1.32/1.46 apply (zenon_L943_); trivial. % 1.32/1.46 apply (zenon_L731_); trivial. % 1.32/1.46 apply (zenon_L629_); trivial. % 1.32/1.46 apply (zenon_L1031_); trivial. % 1.32/1.46 (* end of lemma zenon_L1032_ *) % 1.32/1.46 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H232 zenon_H155 zenon_H183 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_H320 zenon_H31f zenon_H31e zenon_H2ff zenon_H87 zenon_H88 zenon_H89 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha3 zenon_H1 zenon_H22e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.46 apply (zenon_L442_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.46 apply (zenon_L1020_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.46 apply (zenon_L884_); trivial. % 1.32/1.46 apply (zenon_L106_); trivial. % 1.32/1.46 (* end of lemma zenon_L1033_ *) % 1.32/1.46 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H126 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H147 zenon_H4b zenon_H13e zenon_H13d zenon_H13c zenon_Ha3 zenon_H3 zenon_H17 zenon_H2ff zenon_H155 zenon_Hf4. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.46 apply (zenon_L601_); trivial. % 1.32/1.46 apply (zenon_L903_); trivial. % 1.32/1.46 (* end of lemma zenon_L1034_ *) % 1.32/1.46 assert (zenon_L1035_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf4 zenon_H46 zenon_H1f7 zenon_H15e zenon_H160 zenon_H161 zenon_H1f8 zenon_Ha3 zenon_H1f9 zenon_H16f zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.47 apply (zenon_L477_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L131_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L675_); trivial. % 1.32/1.47 apply (zenon_L150_); trivial. % 1.32/1.47 (* end of lemma zenon_L1035_ *) % 1.32/1.47 assert (zenon_L1036_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_Ha3 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H5 zenon_H16d zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1f8 zenon_H217 zenon_H218 zenon_H1d0 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H22e zenon_Hca zenon_H235 zenon_Ha zenon_H27f zenon_H280 zenon_H281 zenon_H1 zenon_H11e. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L254_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L750_); trivial. % 1.32/1.47 apply (zenon_L955_); trivial. % 1.32/1.47 (* end of lemma zenon_L1036_ *) % 1.32/1.47 assert (zenon_L1037_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H235 zenon_H22e zenon_H1 zenon_Ha3 zenon_H281 zenon_H280 zenon_H27f zenon_H89 zenon_H88 zenon_H87 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H2ff zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H217 zenon_H1f8 zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H16d zenon_H19 zenon_H5 zenon_H1d4 zenon_H209 zenon_H147 zenon_H4b zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.47 apply (zenon_L575_); trivial. % 1.32/1.47 apply (zenon_L754_); trivial. % 1.32/1.47 (* end of lemma zenon_L1037_ *) % 1.32/1.47 assert (zenon_L1038_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(c2_1 (a2189))) -> (~(c3_1 (a2189))) -> (c1_1 (a2189)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c3_1 (a2196)) -> (c2_1 (a2196)) -> (c1_1 (a2196)) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H1f9 zenon_H1c7 zenon_H1c8 zenon_H1c9 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H14b zenon_H14a zenon_H149 zenon_H27f zenon_H280 zenon_H281 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H1f8 zenon_H1d8 zenon_H1d7 zenon_H29 zenon_H1d6 zenon_Ha zenon_H10c. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.47 apply (zenon_L752_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.47 apply (zenon_L148_); trivial. % 1.32/1.47 exact (zenon_H10c zenon_H10d). % 1.32/1.47 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.32/1.47 apply (zenon_L255_); trivial. % 1.32/1.47 exact (zenon_H10c zenon_H10d). % 1.32/1.47 (* end of lemma zenon_L1038_ *) % 1.32/1.47 assert (zenon_L1039_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hea zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L675_); trivial. % 1.32/1.47 apply (zenon_L955_); trivial. % 1.32/1.47 (* end of lemma zenon_L1039_ *) % 1.32/1.47 assert (zenon_L1040_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H12c zenon_H12d zenon_H12e zenon_H23 zenon_H276 zenon_H155 zenon_H1ae zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L131_); trivial. % 1.32/1.47 apply (zenon_L1039_); trivial. % 1.32/1.47 (* end of lemma zenon_L1040_ *) % 1.32/1.47 assert (zenon_L1041_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp21))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H15a zenon_H159 zenon_Hf4 zenon_H46 zenon_H2a1 zenon_H17f zenon_H320 zenon_H31f zenon_H31e zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H23 zenon_H276 zenon_H155 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_H122 zenon_Heb zenon_H201 zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H218 zenon_H21c zenon_H3 zenon_H17 zenon_H2ff zenon_H23e zenon_H193 zenon_Hf3 zenon_H127 zenon_H12b. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.47 apply (zenon_L1040_); trivial. % 1.32/1.47 apply (zenon_L1025_); trivial. % 1.32/1.47 apply (zenon_L893_); trivial. % 1.32/1.47 (* end of lemma zenon_L1041_ *) % 1.32/1.47 assert (zenon_L1042_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H42 zenon_Hca zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_H87 zenon_H88 zenon_H89 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H1 zenon_H1d0 zenon_H218. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L160_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.32/1.47 apply (zenon_L761_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.32/1.47 apply (zenon_L357_); trivial. % 1.32/1.47 apply (zenon_L36_); trivial. % 1.32/1.47 (* end of lemma zenon_L1042_ *) % 1.32/1.47 assert (zenon_L1043_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_Ha3 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H1f8 zenon_H217 zenon_H218 zenon_H1d0 zenon_H1 zenon_H2ff zenon_H281 zenon_H280 zenon_H27f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H22e zenon_Hca zenon_H235 zenon_H1ae zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L131_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L750_); trivial. % 1.32/1.47 apply (zenon_L1042_); trivial. % 1.32/1.47 (* end of lemma zenon_L1043_ *) % 1.32/1.47 assert (zenon_L1044_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H127 zenon_H1c5 zenon_H1c1 zenon_H1b2 zenon_Hf4 zenon_H46 zenon_H110 zenon_H26b zenon_H26c zenon_H26d zenon_H1be zenon_H2cd zenon_Ha3 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H209 zenon_H1d4 zenon_H1f8 zenon_H217 zenon_H218 zenon_H2ff zenon_H281 zenon_H280 zenon_H27f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H22e zenon_Hca zenon_H235 zenon_H1ae zenon_Ha zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H11e zenon_H16f zenon_H3 zenon_H10a zenon_H22f zenon_H201. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.47 apply (zenon_L1043_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L254_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L1037_); trivial. % 1.32/1.47 apply (zenon_L719_); trivial. % 1.32/1.47 apply (zenon_L138_); trivial. % 1.32/1.47 (* end of lemma zenon_L1044_ *) % 1.32/1.47 assert (zenon_L1045_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf3 zenon_H10a zenon_H3 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H218 zenon_H1d0 zenon_H1 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H2cd zenon_H1be zenon_H26d zenon_H26c zenon_H26b zenon_H110 zenon_Hca zenon_Hf4. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L1028_); trivial. % 1.32/1.47 apply (zenon_L307_); trivial. % 1.32/1.47 (* end of lemma zenon_L1045_ *) % 1.32/1.47 assert (zenon_L1046_ : ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2175)) -> (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (~(c3_1 (a2175))) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> (c1_1 (a2196)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H181 zenon_H320 zenon_Hb8 zenon_H31f zenon_H14a zenon_H14b zenon_H149 zenon_H2e0 zenon_Ha zenon_H17f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.32/1.47 apply (zenon_L885_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.32/1.47 apply (zenon_L854_); trivial. % 1.32/1.47 exact (zenon_H17f zenon_H180). % 1.32/1.47 (* end of lemma zenon_L1046_ *) % 1.32/1.47 assert (zenon_L1047_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H4f zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b. % 1.32/1.47 generalize (zenon_H4f (a2196)). zenon_intro zenon_H2ae. % 1.32/1.47 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H9 | zenon_intro zenon_H2af ]. % 1.32/1.47 exact (zenon_H9 zenon_Ha). % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H17b | zenon_intro zenon_H2b0 ]. % 1.32/1.47 apply (zenon_L853_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ]. % 1.32/1.47 exact (zenon_H14f zenon_H149). % 1.32/1.47 exact (zenon_H150 zenon_H14b). % 1.32/1.47 (* end of lemma zenon_L1047_ *) % 1.32/1.47 assert (zenon_L1048_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> (c2_1 (a2196)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H18b zenon_H17f zenon_H14a zenon_H31f zenon_H320 zenon_H181 zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H18d ]. % 1.32/1.47 apply (zenon_L1046_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H13b | zenon_intro zenon_H4f ]. % 1.32/1.47 apply (zenon_L84_); trivial. % 1.32/1.47 apply (zenon_L1047_); trivial. % 1.32/1.47 (* end of lemma zenon_L1048_ *) % 1.32/1.47 assert (zenon_L1049_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2175))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H152 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H31e zenon_H18b zenon_H17f zenon_H31f zenon_H320 zenon_H181 zenon_H13e zenon_H13d zenon_H13c. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.47 apply (zenon_L331_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.47 apply (zenon_L884_); trivial. % 1.32/1.47 apply (zenon_L1048_); trivial. % 1.32/1.47 (* end of lemma zenon_L1049_ *) % 1.32/1.47 assert (zenon_L1050_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H155 zenon_H2ea zenon_H181 zenon_H17f zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.47 apply (zenon_L442_); trivial. % 1.32/1.47 apply (zenon_L1049_); trivial. % 1.32/1.47 (* end of lemma zenon_L1050_ *) % 1.32/1.47 assert (zenon_L1051_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H1fd zenon_Hf4 zenon_H46 zenon_H2a1 zenon_Ha3 zenon_H1f8 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H18b zenon_H17f zenon_H181 zenon_H2ea zenon_H155 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L131_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.47 apply (zenon_L1050_); trivial. % 1.32/1.47 apply (zenon_L896_); trivial. % 1.32/1.47 (* end of lemma zenon_L1051_ *) % 1.32/1.47 assert (zenon_L1052_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H127 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H1b2 zenon_Hca zenon_H2ea zenon_H320 zenon_H31f zenon_H31e zenon_H2bc zenon_H2bb zenon_H2ba zenon_H218 zenon_Heb zenon_H122 zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H155 zenon_H181 zenon_H17f zenon_H18b zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H1f8 zenon_Ha3 zenon_H2a1 zenon_H46 zenon_Hf4 zenon_H201. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.47 apply (zenon_L981_); trivial. % 1.32/1.47 apply (zenon_L1051_); trivial. % 1.32/1.47 apply (zenon_L138_); trivial. % 1.32/1.47 (* end of lemma zenon_L1052_ *) % 1.32/1.47 assert (zenon_L1053_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H126 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L830_); trivial. % 1.32/1.47 apply (zenon_L903_); trivial. % 1.32/1.47 (* end of lemma zenon_L1053_ *) % 1.32/1.47 assert (zenon_L1054_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf4 zenon_H155 zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_Ha3 zenon_H2ea zenon_H1f8 zenon_He0 zenon_H26b zenon_H26c zenon_H26d zenon_H274 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H122 zenon_Heb zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.47 apply (zenon_L477_); trivial. % 1.32/1.47 apply (zenon_L993_); trivial. % 1.32/1.47 (* end of lemma zenon_L1054_ *) % 1.32/1.47 assert (zenon_L1055_ : ((ndr1_0)/\((c2_1 (a2182))/\((c3_1 (a2182))/\(~(c0_1 (a2182)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2184))/\((c1_1 (a2184))/\(~(c3_1 (a2184))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/((hskp15)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H331 zenon_H332 zenon_H159 zenon_H17 zenon_H235 zenon_H22f zenon_H217 zenon_H10a zenon_H3 zenon_H209 zenon_H18b zenon_Hed zenon_H1f7 zenon_H204 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2 zenon_H201 zenon_Hf4 zenon_H155 zenon_Hac zenon_Ha3 zenon_H1f8 zenon_He0 zenon_H274 zenon_H1ae zenon_H16d zenon_H122 zenon_Heb zenon_H218 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2ea zenon_Hca zenon_H1b2 zenon_H1c1 zenon_H1c5 zenon_H127 zenon_H2c7 zenon_H23e zenon_H193 zenon_Hf3 zenon_H12b zenon_H27 zenon_H23 zenon_H31e zenon_H31f zenon_H320 zenon_H183 zenon_H43. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.47 apply (zenon_L909_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.47 apply (zenon_L995_); trivial. % 1.32/1.47 apply (zenon_L1054_); trivial. % 1.32/1.47 apply (zenon_L1053_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.47 apply (zenon_L981_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L559_); trivial. % 1.32/1.47 apply (zenon_L992_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1009_); trivial. % 1.32/1.47 apply (zenon_L992_); trivial. % 1.32/1.47 apply (zenon_L731_); trivial. % 1.32/1.47 apply (zenon_L629_); trivial. % 1.32/1.47 apply (zenon_L1053_); trivial. % 1.32/1.47 (* end of lemma zenon_L1055_ *) % 1.32/1.47 assert (zenon_L1056_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H12b zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.47 apply (zenon_L290_); trivial. % 1.32/1.47 apply (zenon_L1053_); trivial. % 1.32/1.47 (* end of lemma zenon_L1056_ *) % 1.32/1.47 assert (zenon_L1057_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H159 zenon_H2a1 zenon_H17f zenon_H16d zenon_H298 zenon_H297 zenon_H296 zenon_Ha zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_H31e zenon_H31f zenon_H320 zenon_H193 zenon_Hf3 zenon_H12b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.47 apply (zenon_L1056_); trivial. % 1.32/1.47 apply (zenon_L893_); trivial. % 1.32/1.47 (* end of lemma zenon_L1057_ *) % 1.32/1.47 assert (zenon_L1058_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hb0 zenon_Ha zenon_H335 zenon_H336 zenon_H337. % 1.32/1.47 generalize (zenon_Hb0 (a2174)). zenon_intro zenon_H338. % 1.32/1.47 apply (zenon_imply_s _ _ zenon_H338); [ zenon_intro zenon_H9 | zenon_intro zenon_H339 ]. % 1.32/1.47 exact (zenon_H9 zenon_Ha). % 1.32/1.47 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H33b | zenon_intro zenon_H33a ]. % 1.32/1.47 exact (zenon_H335 zenon_H33b). % 1.32/1.47 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H33d | zenon_intro zenon_H33c ]. % 1.32/1.47 exact (zenon_H33d zenon_H336). % 1.32/1.47 exact (zenon_H33c zenon_H337). % 1.32/1.47 (* end of lemma zenon_L1058_ *) % 1.32/1.47 assert (zenon_L1059_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp3)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2fb zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H15 zenon_H1b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2fc ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H16 | zenon_intro zenon_H1c ]. % 1.32/1.47 exact (zenon_H15 zenon_H16). % 1.32/1.47 exact (zenon_H1b zenon_H1c). % 1.32/1.47 (* end of lemma zenon_L1059_ *) % 1.32/1.47 assert (zenon_L1060_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp27)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H5a zenon_H50 zenon_H52 zenon_H1d zenon_H122 zenon_H5f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_L74_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 (* end of lemma zenon_L1060_ *) % 1.32/1.47 assert (zenon_L1061_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H122 zenon_H1d zenon_H52 zenon_H50 zenon_H5a zenon_H2cf. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1060_); trivial. % 1.32/1.47 apply (zenon_L65_); trivial. % 1.32/1.47 (* end of lemma zenon_L1061_ *) % 1.32/1.47 assert (zenon_L1062_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(c2_1 (a2265))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H20d zenon_H20c zenon_H20b zenon_Ha zenon_H5f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_L157_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 (* end of lemma zenon_L1062_ *) % 1.32/1.47 assert (zenon_L1063_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hca zenon_H217 zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha5 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209 zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L25_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.47 apply (zenon_L156_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1062_); trivial. % 1.32/1.47 apply (zenon_L42_); trivial. % 1.32/1.47 (* end of lemma zenon_L1063_ *) % 1.32/1.47 assert (zenon_L1064_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp27)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc3 zenon_H5f zenon_He0 zenon_H7b zenon_H79 zenon_H52 zenon_H50 zenon_H5a zenon_Hd6 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.32/1.47 apply (zenon_L35_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.32/1.47 apply (zenon_L73_); trivial. % 1.32/1.47 apply (zenon_L53_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.32/1.47 apply (zenon_L46_); trivial. % 1.32/1.47 exact (zenon_H5 zenon_H6). % 1.32/1.47 (* end of lemma zenon_L1064_ *) % 1.32/1.47 assert (zenon_L1065_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H274 zenon_H7b zenon_H79 zenon_H78 zenon_H5a zenon_H52 zenon_H50 zenon_H4f zenon_Ha zenon_H145. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H7a | zenon_intro zenon_H275 ]. % 1.32/1.47 apply (zenon_L35_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H59 | zenon_intro zenon_H146 ]. % 1.32/1.47 apply (zenon_L27_); trivial. % 1.32/1.47 exact (zenon_H145 zenon_H146). % 1.32/1.47 (* end of lemma zenon_L1065_ *) % 1.32/1.47 assert (zenon_L1066_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp29)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c2_1 (a2219)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc3 zenon_H145 zenon_H4f zenon_H50 zenon_H52 zenon_H5a zenon_H79 zenon_H7b zenon_H274 zenon_Hbb zenon_Hba zenon_Hb9 zenon_Ha zenon_H5. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.32/1.47 apply (zenon_L1065_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.32/1.47 apply (zenon_L46_); trivial. % 1.32/1.47 exact (zenon_H5 zenon_H6). % 1.32/1.47 (* end of lemma zenon_L1066_ *) % 1.32/1.47 assert (zenon_L1067_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp1)) -> (~(hskp30)) -> (ndr1_0) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp2)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2d1 zenon_H337 zenon_H336 zenon_H335 zenon_H65 zenon_H63 zenon_Ha zenon_H225 zenon_H226 zenon_H227 zenon_H76 zenon_H49. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d2 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H4a ]. % 1.32/1.47 apply (zenon_L367_); trivial. % 1.32/1.47 exact (zenon_H49 zenon_H4a). % 1.32/1.47 (* end of lemma zenon_L1067_ *) % 1.32/1.47 assert (zenon_L1068_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H75 zenon_H71 zenon_H61 zenon_H5f zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H49 zenon_H2d1. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.32/1.47 apply (zenon_L1067_); trivial. % 1.32/1.47 apply (zenon_L33_); trivial. % 1.32/1.47 (* end of lemma zenon_L1068_ *) % 1.32/1.47 assert (zenon_L1069_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hca zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha5 zenon_H2d1 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H337 zenon_H336 zenon_H335 zenon_H61 zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L25_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1068_); trivial. % 1.32/1.47 apply (zenon_L42_); trivial. % 1.32/1.47 (* end of lemma zenon_L1069_ *) % 1.32/1.47 assert (zenon_L1070_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp29)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H22e zenon_H145 zenon_H4f zenon_H50 zenon_H52 zenon_H5a zenon_H79 zenon_H7b zenon_H274 zenon_H227 zenon_H226 zenon_H225 zenon_Ha zenon_H1. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H78 | zenon_intro zenon_H230 ]. % 1.32/1.47 apply (zenon_L1065_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H224 | zenon_intro zenon_H2 ]. % 1.32/1.47 apply (zenon_L165_); trivial. % 1.32/1.47 exact (zenon_H1 zenon_H2). % 1.32/1.47 (* end of lemma zenon_L1070_ *) % 1.32/1.47 assert (zenon_L1071_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hea zenon_H235 zenon_H1 zenon_H22e zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H2d1 zenon_Hca zenon_H217 zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_Ha5 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H49 zenon_H4b zenon_H4d zenon_H155 zenon_Hc3 zenon_H5 zenon_He0 zenon_H274 zenon_He7 zenon_Hed. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.47 apply (zenon_L1063_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L25_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.47 apply (zenon_L1064_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_L1066_); trivial. % 1.32/1.47 apply (zenon_L930_); trivial. % 1.32/1.47 apply (zenon_L42_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.47 apply (zenon_L1069_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L25_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.47 apply (zenon_L1064_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_L1070_); trivial. % 1.32/1.47 apply (zenon_L310_); trivial. % 1.32/1.47 apply (zenon_L953_); trivial. % 1.32/1.47 (* end of lemma zenon_L1071_ *) % 1.32/1.47 assert (zenon_L1072_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_Hb6. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.32/1.47 apply (zenon_L6_); trivial. % 1.32/1.47 exact (zenon_Hb6 zenon_Hb7). % 1.32/1.47 (* end of lemma zenon_L1072_ *) % 1.32/1.47 assert (zenon_L1073_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Heb zenon_H122 zenon_H1d zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_Hc zenon_Hd zenon_He zenon_Hc4. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.47 apply (zenon_L1072_); trivial. % 1.32/1.47 apply (zenon_L130_); trivial. % 1.32/1.47 (* end of lemma zenon_L1073_ *) % 1.32/1.47 assert (zenon_L1074_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H70 zenon_He7 zenon_H5 zenon_Hb9 zenon_Hba zenon_Hbb zenon_He0 zenon_H7b zenon_H79 zenon_Hcf zenon_Hce zenon_Hcd zenon_Hc3 zenon_H337 zenon_H336 zenon_H335. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.47 apply (zenon_L54_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_L32_); trivial. % 1.32/1.47 (* end of lemma zenon_L1074_ *) % 1.32/1.47 assert (zenon_L1075_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2219)) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc2 zenon_H75 zenon_He7 zenon_H337 zenon_H336 zenon_H335 zenon_He0 zenon_Hbb zenon_Hb9 zenon_Hba zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.32/1.47 apply (zenon_L50_); trivial. % 1.32/1.47 apply (zenon_L1074_); trivial. % 1.32/1.47 (* end of lemma zenon_L1075_ *) % 1.32/1.47 assert (zenon_L1076_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H75 zenon_He7 zenon_H337 zenon_H336 zenon_H335 zenon_He0 zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.47 apply (zenon_L25_); trivial. % 1.32/1.47 apply (zenon_L1075_); trivial. % 1.32/1.47 (* end of lemma zenon_L1076_ *) % 1.32/1.47 assert (zenon_L1077_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hed zenon_H75 zenon_He7 zenon_He0 zenon_H5 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H4d zenon_H4b zenon_H49 zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_Ha5 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_Hec zenon_H217 zenon_Hca. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.47 apply (zenon_L1063_); trivial. % 1.32/1.47 apply (zenon_L1076_); trivial. % 1.32/1.47 (* end of lemma zenon_L1077_ *) % 1.32/1.47 assert (zenon_L1078_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H235 zenon_H71 zenon_H2d1 zenon_Hca zenon_H217 zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H2cf zenon_H209 zenon_H49 zenon_H4b zenon_H4d zenon_H76 zenon_H65 zenon_Hc3 zenon_H5 zenon_He0 zenon_He7 zenon_H75 zenon_Hed zenon_Hc4 zenon_H122 zenon_Heb zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L1059_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1073_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.47 apply (zenon_L1072_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.47 apply (zenon_L1077_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.47 apply (zenon_L1069_); trivial. % 1.32/1.47 apply (zenon_L1076_); trivial. % 1.32/1.47 (* end of lemma zenon_L1078_ *) % 1.32/1.47 assert (zenon_L1079_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp16)) -> (~(hskp13)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Heb zenon_H122 zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H11e zenon_H1d zenon_H1 zenon_H113 zenon_H112 zenon_Hc4. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.32/1.47 apply (zenon_L71_); trivial. % 1.32/1.47 exact (zenon_Hb6 zenon_Hb7). % 1.32/1.47 apply (zenon_L130_); trivial. % 1.32/1.47 (* end of lemma zenon_L1079_ *) % 1.32/1.47 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H126 zenon_H127 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Heb zenon_H122 zenon_H11e zenon_Hc4 zenon_Hed zenon_He7 zenon_H274 zenon_He0 zenon_H5 zenon_Hc3 zenon_H155 zenon_H4d zenon_H4b zenon_H49 zenon_H209 zenon_H2cf zenon_Ha5 zenon_Ha3 zenon_Hac zenon_Hec zenon_H217 zenon_Hca zenon_H2d1 zenon_H65 zenon_H76 zenon_H71 zenon_H75 zenon_H22e zenon_H235 zenon_Hf4 zenon_Hf3. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L1059_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1079_); trivial. % 1.32/1.47 apply (zenon_L1071_); trivial. % 1.32/1.47 apply (zenon_L1078_); trivial. % 1.32/1.47 (* end of lemma zenon_L1080_ *) % 1.32/1.47 assert (zenon_L1081_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hea zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H337 zenon_H336 zenon_H335. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.32/1.47 apply (zenon_L60_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_L36_); trivial. % 1.32/1.47 (* end of lemma zenon_L1081_ *) % 1.32/1.47 assert (zenon_L1082_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2cf zenon_H122 zenon_H337 zenon_H336 zenon_H335 zenon_H10c zenon_H65 zenon_H10e zenon_Hec. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1061_); trivial. % 1.32/1.47 apply (zenon_L1081_); trivial. % 1.32/1.47 (* end of lemma zenon_L1082_ *) % 1.32/1.47 assert (zenon_L1083_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H2cf zenon_H122 zenon_H10c zenon_H65 zenon_H10e zenon_Hec zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L1059_); trivial. % 1.32/1.47 apply (zenon_L1082_); trivial. % 1.32/1.47 (* end of lemma zenon_L1083_ *) % 1.32/1.47 assert (zenon_L1084_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf4 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hc4 zenon_H112 zenon_H113 zenon_H1 zenon_H11e zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H122 zenon_Heb. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1079_); trivial. % 1.32/1.47 apply (zenon_L1081_); trivial. % 1.32/1.47 (* end of lemma zenon_L1084_ *) % 1.32/1.47 assert (zenon_L1085_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H123 zenon_Hf4 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H122 zenon_Heb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.47 apply (zenon_L1073_); trivial. % 1.32/1.47 apply (zenon_L1081_); trivial. % 1.32/1.47 (* end of lemma zenon_L1085_ *) % 1.32/1.47 assert (zenon_L1086_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H156 zenon_H12b zenon_H127 zenon_Heb zenon_H11e zenon_Hc4 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Hec zenon_H10e zenon_H65 zenon_H122 zenon_H2cf zenon_H110 zenon_Hf4 zenon_Hf3. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.47 apply (zenon_L1083_); trivial. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.47 apply (zenon_L1084_); trivial. % 1.32/1.47 apply (zenon_L1085_); trivial. % 1.32/1.47 (* end of lemma zenon_L1086_ *) % 1.32/1.47 assert (zenon_L1087_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2ff zenon_H5 zenon_H10c zenon_H15e zenon_H160 zenon_H161 zenon_H16d zenon_H337 zenon_H336 zenon_H335 zenon_H71 zenon_H52 zenon_H50 zenon_Ha zenon_H5f zenon_H61. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.47 apply (zenon_L98_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_L404_); trivial. % 1.32/1.47 (* end of lemma zenon_L1087_ *) % 1.32/1.47 assert (zenon_L1088_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c3_1 (a2219))) -> (~(c1_1 (a2219))) -> (c2_1 (a2219)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H21a zenon_H5 zenon_H10c zenon_Hba zenon_Hb9 zenon_Hbb zenon_H16d zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H5f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.32/1.47 apply (zenon_L361_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 (* end of lemma zenon_L1088_ *) % 1.32/1.47 assert (zenon_L1089_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc9 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H16d zenon_H5 zenon_H10c zenon_H335 zenon_H336 zenon_H337 zenon_H21a. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1088_); trivial. % 1.32/1.47 apply (zenon_L177_); trivial. % 1.32/1.47 (* end of lemma zenon_L1089_ *) % 1.32/1.47 assert (zenon_L1090_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf5 zenon_Hed zenon_H21a zenon_H2ff zenon_H71 zenon_H337 zenon_H336 zenon_H335 zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H17f zenon_H181 zenon_Hec. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1087_); trivial. % 1.32/1.47 apply (zenon_L177_); trivial. % 1.32/1.47 apply (zenon_L1089_); trivial. % 1.32/1.47 (* end of lemma zenon_L1090_ *) % 1.32/1.47 assert (zenon_L1091_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hf3 zenon_Hed zenon_H21a zenon_H2ff zenon_H71 zenon_H15e zenon_H160 zenon_H161 zenon_H10c zenon_H5 zenon_H16d zenon_H17f zenon_H181 zenon_Hec zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.47 apply (zenon_L1059_); trivial. % 1.32/1.47 apply (zenon_L1090_); trivial. % 1.32/1.47 (* end of lemma zenon_L1091_ *) % 1.32/1.47 assert (zenon_L1092_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H21a zenon_H12e zenon_H12d zenon_H12c zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H5f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.32/1.47 apply (zenon_L80_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 (* end of lemma zenon_L1092_ *) % 1.32/1.47 assert (zenon_L1093_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> False). % 1.32/1.47 do 0 intro. intros zenon_H15a zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H335 zenon_H336 zenon_H337 zenon_H21a. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.47 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1092_); trivial. % 1.32/1.47 apply (zenon_L177_); trivial. % 1.32/1.47 (* end of lemma zenon_L1093_ *) % 1.32/1.47 assert (zenon_L1094_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp2)) -> (ndr1_0) -> (c1_1 (a2262)) -> (c3_1 (a2262)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp27)) -> False). % 1.32/1.47 do 0 intro. intros zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H49 zenon_Ha zenon_Hb1 zenon_H7b zenon_H26b zenon_H26c zenon_H26d zenon_Ha5 zenon_H5f. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.47 apply (zenon_L1058_); trivial. % 1.32/1.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.47 apply (zenon_L228_); trivial. % 1.32/1.47 exact (zenon_H5f zenon_H60). % 1.32/1.47 (* end of lemma zenon_L1094_ *) % 1.32/1.47 assert (zenon_L1095_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.47 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H335 zenon_H336 zenon_H337 zenon_Ha5 zenon_H49 zenon_H26d zenon_H26c zenon_H26b zenon_H2cf. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.47 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.47 apply (zenon_L1094_); trivial. % 1.32/1.47 apply (zenon_L42_); trivial. % 1.32/1.47 (* end of lemma zenon_L1095_ *) % 1.32/1.47 assert (zenon_L1096_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hea zenon_Hca zenon_Hec zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H335 zenon_H336 zenon_H337 zenon_Ha5 zenon_H26d zenon_H26c zenon_H26b zenon_H2cf zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_L1095_); trivial. % 1.32/1.48 (* end of lemma zenon_L1096_ *) % 1.32/1.48 assert (zenon_L1097_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H26d zenon_H26c zenon_H26b zenon_H2cf zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_H122 zenon_Heb zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1073_); trivial. % 1.32/1.48 apply (zenon_L1096_); trivial. % 1.32/1.48 (* end of lemma zenon_L1097_ *) % 1.32/1.48 assert (zenon_L1098_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H126 zenon_H127 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Heb zenon_H122 zenon_H11e zenon_Hc4 zenon_H4d zenon_H4b zenon_H49 zenon_H2cf zenon_H26b zenon_H26c zenon_H26d zenon_Ha5 zenon_Ha3 zenon_Hac zenon_Hec zenon_Hca zenon_Hf4 zenon_Hf3. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1079_); trivial. % 1.32/1.48 apply (zenon_L1096_); trivial. % 1.32/1.48 apply (zenon_L1097_); trivial. % 1.32/1.48 (* end of lemma zenon_L1098_ *) % 1.32/1.48 assert (zenon_L1099_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.32/1.48 do 0 intro. intros zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H337 zenon_H336 zenon_H335 zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_Ha zenon_H145. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_L80_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L238_); trivial. % 1.32/1.48 (* end of lemma zenon_L1099_ *) % 1.32/1.48 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hf5 zenon_H155 zenon_H276 zenon_H23 zenon_H12c zenon_H12d zenon_H12e zenon_H335 zenon_H336 zenon_H337 zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_He7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.48 apply (zenon_L1099_); trivial. % 1.32/1.48 apply (zenon_L234_); trivial. % 1.32/1.48 (* end of lemma zenon_L1100_ *) % 1.32/1.48 assert (zenon_L1101_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H15a zenon_Hf3 zenon_H155 zenon_H276 zenon_H23 zenon_H274 zenon_H26d zenon_H26c zenon_H26b zenon_He7 zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_L1100_); trivial. % 1.32/1.48 (* end of lemma zenon_L1101_ *) % 1.32/1.48 assert (zenon_L1102_ : ((ndr1_0)/\((c2_1 (a2182))/\((c3_1 (a2182))/\(~(c0_1 (a2182)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H331 zenon_H15d zenon_H155 zenon_H276 zenon_H23 zenon_H274 zenon_He7 zenon_Hf3 zenon_Hf4 zenon_Hca zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H49 zenon_H4d zenon_H2cf zenon_H122 zenon_H65 zenon_H10e zenon_Hec zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_Hc4 zenon_H11e zenon_Heb zenon_H127 zenon_H12b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1061_); trivial. % 1.32/1.48 apply (zenon_L1096_); trivial. % 1.32/1.48 apply (zenon_L1098_); trivial. % 1.32/1.48 apply (zenon_L1101_); trivial. % 1.32/1.48 (* end of lemma zenon_L1102_ *) % 1.32/1.48 assert (zenon_L1103_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c3_1 (a2180)) -> (c0_1 (a2180)) -> (~(c1_1 (a2180))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hc4 zenon_H122 zenon_Heb zenon_H11e zenon_H281 zenon_H280 zenon_H27f zenon_H335 zenon_H336 zenon_H337 zenon_H110 zenon_Hf4. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L254_); trivial. % 1.32/1.48 apply (zenon_L1081_); trivial. % 1.32/1.48 apply (zenon_L1085_); trivial. % 1.32/1.48 (* end of lemma zenon_L1103_ *) % 1.32/1.48 assert (zenon_L1104_ : ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> False). % 1.32/1.48 do 0 intro. intros zenon_H122 zenon_H1d zenon_H5a zenon_H52 zenon_H50 zenon_H4f zenon_Ha. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H1e ]. % 1.32/1.48 apply (zenon_L27_); trivial. % 1.32/1.48 exact (zenon_H1d zenon_H1e). % 1.32/1.48 (* end of lemma zenon_L1104_ *) % 1.32/1.48 assert (zenon_L1105_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> False). % 1.32/1.48 do 0 intro. intros zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H337 zenon_H336 zenon_H335 zenon_H122 zenon_H1d zenon_H5a zenon_H52 zenon_H50 zenon_Ha. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_L80_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L1104_); trivial. % 1.32/1.48 (* end of lemma zenon_L1105_ *) % 1.32/1.48 assert (zenon_L1106_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H15a zenon_Hf3 zenon_Hf4 zenon_Hec zenon_H276 zenon_H23 zenon_Ha3 zenon_H21a zenon_H122 zenon_He7 zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1105_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1092_); trivial. % 1.32/1.48 apply (zenon_L916_); trivial. % 1.32/1.48 (* end of lemma zenon_L1106_ *) % 1.32/1.48 assert (zenon_L1107_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hab zenon_Hac zenon_H5 zenon_H19 zenon_H20b zenon_H20d zenon_H20c zenon_H1d4 zenon_H52 zenon_H50 zenon_H5a zenon_Ha3 zenon_H89 zenon_H88 zenon_H87. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.48 apply (zenon_L383_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.48 apply (zenon_L41_); trivial. % 1.32/1.48 apply (zenon_L39_); trivial. % 1.32/1.48 (* end of lemma zenon_L1107_ *) % 1.32/1.48 assert (zenon_L1108_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H214 zenon_Hec zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H19 zenon_H5 zenon_H1d4 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1062_); trivial. % 1.32/1.48 apply (zenon_L1107_); trivial. % 1.32/1.48 (* end of lemma zenon_L1108_ *) % 1.32/1.48 assert (zenon_L1109_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H217 zenon_Hec zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H19 zenon_H5 zenon_H1d4 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.48 apply (zenon_L156_); trivial. % 1.32/1.48 apply (zenon_L1108_); trivial. % 1.32/1.48 (* end of lemma zenon_L1109_ *) % 1.32/1.48 assert (zenon_L1110_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H49 zenon_Ha5 zenon_H2cf zenon_H5a zenon_H50 zenon_H52 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H337 zenon_H336 zenon_H335 zenon_Hb9 zenon_Hba zenon_Hbb zenon_H5 zenon_Hc3. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc7 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.32/1.48 apply (zenon_L35_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.32/1.48 apply (zenon_L73_); trivial. % 1.32/1.48 apply (zenon_L289_); trivial. % 1.32/1.48 exact (zenon_H5f zenon_H60). % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H6 ]. % 1.32/1.48 apply (zenon_L46_); trivial. % 1.32/1.48 exact (zenon_H5 zenon_H6). % 1.32/1.48 apply (zenon_L953_); trivial. % 1.32/1.48 (* end of lemma zenon_L1110_ *) % 1.32/1.48 assert (zenon_L1111_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hec zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha5 zenon_H2cf zenon_H5a zenon_H50 zenon_H52 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H337 zenon_H336 zenon_H335 zenon_H5 zenon_Hc3 zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_L1110_); trivial. % 1.32/1.48 (* end of lemma zenon_L1111_ *) % 1.32/1.48 assert (zenon_L1112_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hed zenon_Hca zenon_Ha5 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_Hc3 zenon_H49 zenon_H4b zenon_H4d zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H1d4 zenon_H5 zenon_H19 zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_Hec zenon_H217. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1109_); trivial. % 1.32/1.48 apply (zenon_L1111_); trivial. % 1.32/1.48 (* end of lemma zenon_L1112_ *) % 1.32/1.48 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H232 zenon_Hed zenon_H2cf zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H5 zenon_Hc3 zenon_H4d zenon_H4b zenon_H49 zenon_H75 zenon_H71 zenon_H335 zenon_H336 zenon_H337 zenon_H76 zenon_H65 zenon_H2d1 zenon_Ha5 zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_Hec zenon_Hca. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1069_); trivial. % 1.32/1.48 apply (zenon_L1111_); trivial. % 1.32/1.48 (* end of lemma zenon_L1113_ *) % 1.32/1.48 assert (zenon_L1114_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H235 zenon_H75 zenon_H71 zenon_H76 zenon_H65 zenon_H2d1 zenon_H217 zenon_Hec zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H19 zenon_H5 zenon_H1d4 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_Hc3 zenon_He0 zenon_H298 zenon_H297 zenon_H296 zenon_Ha5 zenon_Hca zenon_Hed. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.48 apply (zenon_L1112_); trivial. % 1.32/1.48 apply (zenon_L1113_); trivial. % 1.32/1.48 (* end of lemma zenon_L1114_ *) % 1.32/1.48 assert (zenon_L1115_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2197))) -> (c2_1 (a2197)) -> (c3_1 (a2197)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H232 zenon_Hca zenon_H22e zenon_H1 zenon_H34 zenon_H35 zenon_H36 zenon_H22f zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_L166_); trivial. % 1.32/1.48 (* end of lemma zenon_L1115_ *) % 1.32/1.48 assert (zenon_L1116_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H214 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1062_); trivial. % 1.32/1.48 apply (zenon_L177_); trivial. % 1.32/1.48 (* end of lemma zenon_L1116_ *) % 1.32/1.48 assert (zenon_L1117_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H217 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.48 apply (zenon_L156_); trivial. % 1.32/1.48 apply (zenon_L1116_); trivial. % 1.32/1.48 (* end of lemma zenon_L1117_ *) % 1.32/1.48 assert (zenon_L1118_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c3_1 (a2181))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> (~(hskp7)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hed zenon_Hca zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Ha5 zenon_H5a zenon_H50 zenon_H52 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_H5 zenon_Hc3 zenon_H49 zenon_H4b zenon_H4d zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H15e zenon_H160 zenon_H161 zenon_H17f zenon_H181 zenon_Hec zenon_H217. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1117_); trivial. % 1.32/1.48 apply (zenon_L1111_); trivial. % 1.32/1.48 (* end of lemma zenon_L1118_ *) % 1.32/1.48 assert (zenon_L1119_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (c0_1 (a2178)) -> (ndr1_0) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> False). % 1.32/1.48 do 0 intro. intros zenon_H2d1 zenon_H337 zenon_H336 zenon_H335 zenon_H93 zenon_H92 zenon_H94 zenon_Ha zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H5a zenon_H50 zenon_H52 zenon_He0 zenon_H7b zenon_H79 zenon_H227 zenon_H226 zenon_H225 zenon_H15e zenon_H171 zenon_H161 zenon_Hac zenon_H49. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d2 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H4a ]. % 1.32/1.48 apply (zenon_L710_); trivial. % 1.32/1.48 exact (zenon_H49 zenon_H4a). % 1.32/1.48 (* end of lemma zenon_L1119_ *) % 1.32/1.48 assert (zenon_L1120_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(hskp2)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hab zenon_H193 zenon_H49 zenon_Hac zenon_H161 zenon_H15e zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_H335 zenon_H336 zenon_H337 zenon_H2d1 zenon_H12a zenon_H113 zenon_H112 zenon_H5a zenon_H50 zenon_H52. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.32/1.48 apply (zenon_L1119_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.32/1.48 apply (zenon_L111_); trivial. % 1.32/1.48 apply (zenon_L41_); trivial. % 1.32/1.48 (* end of lemma zenon_L1120_ *) % 1.32/1.48 assert (zenon_L1121_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c3_1 (a2181))) -> (c2_1 (a2181)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hca zenon_Hec zenon_H193 zenon_H12a zenon_H113 zenon_H112 zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H15e zenon_H161 zenon_He0 zenon_H2d1 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H337 zenon_H336 zenon_H335 zenon_H61 zenon_H71 zenon_H75 zenon_H49 zenon_H4b zenon_H4d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1068_); trivial. % 1.32/1.48 apply (zenon_L1120_); trivial. % 1.32/1.48 (* end of lemma zenon_L1121_ *) % 1.32/1.48 assert (zenon_L1122_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2219))) -> (~(c3_1 (a2219))) -> (c2_1 (a2219)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2181))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2181)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp2)) -> False). % 1.32/1.48 do 0 intro. intros zenon_H2d1 zenon_H337 zenon_H336 zenon_H335 zenon_H5 zenon_Ha zenon_Hb9 zenon_Hba zenon_Hbb zenon_He0 zenon_H7b zenon_H79 zenon_H227 zenon_H226 zenon_H225 zenon_H15e zenon_H171 zenon_H161 zenon_Hc3 zenon_H49. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d2 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H4a ]. % 1.32/1.48 apply (zenon_L702_); trivial. % 1.32/1.48 exact (zenon_H49 zenon_H4a). % 1.32/1.48 (* end of lemma zenon_L1122_ *) % 1.32/1.48 assert (zenon_L1123_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H232 zenon_Hed zenon_H155 zenon_Ha5 zenon_H2a1 zenon_H17f zenon_H5 zenon_Hc3 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_H274 zenon_He7 zenon_H4d zenon_H4b zenon_H49 zenon_H75 zenon_H71 zenon_H335 zenon_H336 zenon_H337 zenon_H76 zenon_H65 zenon_H2d1 zenon_He0 zenon_H161 zenon_H15e zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_Hec zenon_Hca. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1121_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a2 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.32/1.48 apply (zenon_L1122_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.32/1.48 apply (zenon_L335_); trivial. % 1.32/1.48 apply (zenon_L386_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H171 | zenon_intro zenon_H180 ]. % 1.32/1.48 apply (zenon_L1122_); trivial. % 1.32/1.48 exact (zenon_H17f zenon_H180). % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L1066_); trivial. % 1.32/1.48 apply (zenon_L89_); trivial. % 1.32/1.48 (* end of lemma zenon_L1123_ *) % 1.32/1.48 assert (zenon_L1124_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H232 zenon_Hed zenon_He7 zenon_H5 zenon_Hc3 zenon_H4d zenon_H4b zenon_H49 zenon_H75 zenon_H71 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H2d1 zenon_He0 zenon_H161 zenon_H15e zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H337 zenon_H336 zenon_H335 zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_Hec zenon_Hca. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L51_); trivial. % 1.32/1.48 apply (zenon_L1120_); trivial. % 1.32/1.48 apply (zenon_L1076_); trivial. % 1.32/1.48 (* end of lemma zenon_L1124_ *) % 1.32/1.48 assert (zenon_L1125_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hf0 zenon_H235 zenon_H71 zenon_H2d1 zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H217 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H76 zenon_H65 zenon_Hc3 zenon_H5 zenon_He0 zenon_He7 zenon_H75 zenon_Hca zenon_Hed. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1117_); trivial. % 1.32/1.48 apply (zenon_L1076_); trivial. % 1.32/1.48 apply (zenon_L1124_); trivial. % 1.32/1.48 (* end of lemma zenon_L1125_ *) % 1.32/1.48 assert (zenon_L1126_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H123 zenon_Hf3 zenon_Hf4 zenon_H235 zenon_H71 zenon_H2d1 zenon_Ha3 zenon_Hac zenon_H112 zenon_H113 zenon_H12a zenon_H193 zenon_H217 zenon_Hec zenon_H181 zenon_H17f zenon_H161 zenon_H160 zenon_H15e zenon_H2cf zenon_H209 zenon_H4d zenon_H4b zenon_H49 zenon_H76 zenon_H65 zenon_Hc3 zenon_H5 zenon_He0 zenon_He7 zenon_H75 zenon_Hca zenon_Hed zenon_Hc4 zenon_H122 zenon_Heb zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1073_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.48 apply (zenon_L1072_); trivial. % 1.32/1.48 apply (zenon_L1125_); trivial. % 1.32/1.48 (* end of lemma zenon_L1126_ *) % 1.32/1.48 assert (zenon_L1127_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H12b zenon_H127 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Heb zenon_H122 zenon_H11e zenon_Hc4 zenon_H4d zenon_H4b zenon_H49 zenon_H2cf zenon_H26b zenon_H26c zenon_H26d zenon_Ha5 zenon_Ha3 zenon_Hac zenon_Hec zenon_Hca zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.48 apply (zenon_L290_); trivial. % 1.32/1.48 apply (zenon_L1098_); trivial. % 1.32/1.48 (* end of lemma zenon_L1127_ *) % 1.32/1.48 assert (zenon_L1128_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H156 zenon_H12b zenon_H127 zenon_Heb zenon_H11e zenon_Hc4 zenon_H4d zenon_H4b zenon_H49 zenon_H26b zenon_H26c zenon_H26d zenon_Ha5 zenon_Ha3 zenon_Hac zenon_Hca zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Hec zenon_H10e zenon_H65 zenon_H122 zenon_H2cf zenon_H110 zenon_Hf4 zenon_Hf3. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.48 apply (zenon_L1083_); trivial. % 1.32/1.48 apply (zenon_L1098_); trivial. % 1.32/1.48 (* end of lemma zenon_L1128_ *) % 1.32/1.48 assert (zenon_L1129_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H159 zenon_H10e zenon_H65 zenon_H110 zenon_H16d zenon_H298 zenon_H297 zenon_H296 zenon_Ha zenon_Hf3 zenon_Hf4 zenon_Hca zenon_Hec zenon_Hac zenon_Ha3 zenon_Ha5 zenon_H26d zenon_H26c zenon_H26b zenon_H2cf zenon_H49 zenon_H4b zenon_H4d zenon_Hc4 zenon_H11e zenon_H122 zenon_Heb zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_H127 zenon_H12b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.48 apply (zenon_L1127_); trivial. % 1.32/1.48 apply (zenon_L1128_); trivial. % 1.32/1.48 (* end of lemma zenon_L1129_ *) % 1.32/1.48 assert (zenon_L1130_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c3_1 (a2181))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (c1_1 (a2181)) -> (c2_1 (a2181)) -> False). % 1.32/1.48 do 0 intro. intros zenon_He0 zenon_H26d zenon_H26c zenon_H26b zenon_H5a zenon_H52 zenon_H50 zenon_H4f zenon_Ha zenon_H15e zenon_H15f zenon_H160 zenon_H161. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H7a | zenon_intro zenon_He1 ]. % 1.32/1.48 apply (zenon_L225_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H59 | zenon_intro zenon_Hdc ]. % 1.32/1.48 apply (zenon_L27_); trivial. % 1.32/1.48 apply (zenon_L97_); trivial. % 1.32/1.48 (* end of lemma zenon_L1130_ *) % 1.32/1.48 assert (zenon_L1131_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c2_1 (a2181)) -> (c1_1 (a2181)) -> (~(c3_1 (a2181))) -> (c3_1 (a2182)) -> (c2_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H15a zenon_Hf3 zenon_He7 zenon_He0 zenon_H161 zenon_H160 zenon_H15e zenon_H26d zenon_H26c zenon_H26b zenon_H2ff zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_L80_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.48 apply (zenon_L1130_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L403_); trivial. % 1.32/1.48 (* end of lemma zenon_L1131_ *) % 1.32/1.48 assert (zenon_L1132_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H42 zenon_H110 zenon_H27f zenon_H280 zenon_H281 zenon_Ha3 zenon_H337 zenon_H336 zenon_H335 zenon_H87 zenon_H88 zenon_H89. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.32/1.48 apply (zenon_L761_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L36_); trivial. % 1.32/1.48 (* end of lemma zenon_L1132_ *) % 1.32/1.48 assert (zenon_L1133_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hed zenon_Hca zenon_H75 zenon_He7 zenon_He0 zenon_Hc3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H49 zenon_H4b zenon_H4d zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H1d4 zenon_H5 zenon_H19 zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_Hec zenon_H217. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1109_); trivial. % 1.32/1.48 apply (zenon_L1076_); trivial. % 1.32/1.48 (* end of lemma zenon_L1133_ *) % 1.32/1.48 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_H49 zenon_Ha5 zenon_H12c zenon_H12d zenon_H12e zenon_H335 zenon_H336 zenon_H337 zenon_H22e zenon_H1 zenon_H227 zenon_H226 zenon_H225 zenon_H50 zenon_H52 zenon_H5a zenon_H274 zenon_He7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_L80_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L1070_); trivial. % 1.32/1.48 apply (zenon_L310_); trivial. % 1.32/1.48 (* end of lemma zenon_L1134_ *) % 1.32/1.48 assert (zenon_L1135_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H232 zenon_Hca zenon_H155 zenon_H49 zenon_Ha5 zenon_H335 zenon_H336 zenon_H337 zenon_H22e zenon_H1 zenon_H50 zenon_H52 zenon_H5a zenon_H274 zenon_He7 zenon_H197 zenon_H19 zenon_H12c zenon_H12d zenon_H12e zenon_H1b zenon_He6 zenon_H1a5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L121_); trivial. % 1.32/1.48 apply (zenon_L1134_); trivial. % 1.32/1.48 (* end of lemma zenon_L1135_ *) % 1.32/1.48 assert (zenon_L1136_ : ((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H70 zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H337 zenon_H336 zenon_H335. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Ha. zenon_intro zenon_H72. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.48 apply (zenon_L80_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L32_); trivial. % 1.32/1.48 (* end of lemma zenon_L1136_ *) % 1.32/1.48 assert (zenon_L1137_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hf0 zenon_H75 zenon_He7 zenon_H337 zenon_H336 zenon_H335 zenon_H12e zenon_H12d zenon_H12c zenon_H65 zenon_H76. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.32/1.48 apply (zenon_L50_); trivial. % 1.32/1.48 apply (zenon_L1136_); trivial. % 1.32/1.48 (* end of lemma zenon_L1137_ *) % 1.32/1.48 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2185)) -> (~(c1_1 (a2185))) -> (~(c0_1 (a2185))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H123 zenon_Heb zenon_H75 zenon_He7 zenon_H12e zenon_H12d zenon_H12c zenon_H65 zenon_H76 zenon_H335 zenon_H336 zenon_H337 zenon_Hc4. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.48 apply (zenon_L1072_); trivial. % 1.32/1.48 apply (zenon_L1137_); trivial. % 1.32/1.48 (* end of lemma zenon_L1138_ *) % 1.32/1.48 assert (zenon_L1139_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H110 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_H12c zenon_H12d zenon_H12e zenon_H335 zenon_H336 zenon_H337 zenon_H122 zenon_He7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1105_); trivial. % 1.32/1.48 apply (zenon_L1081_); trivial. % 1.32/1.48 (* end of lemma zenon_L1139_ *) % 1.32/1.48 assert (zenon_L1140_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2185))) -> (~(c1_1 (a2185))) -> (c2_1 (a2185)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H156 zenon_Hf3 zenon_Hf4 zenon_H110 zenon_H12c zenon_H12d zenon_H12e zenon_H122 zenon_He7 zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_L1139_); trivial. % 1.32/1.48 (* end of lemma zenon_L1140_ *) % 1.32/1.48 assert (zenon_L1141_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c1_1 (a2180))) -> (c0_1 (a2180)) -> (c3_1 (a2180)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H15a zenon_H159 zenon_Hf3 zenon_Hf4 zenon_H46 zenon_H110 zenon_H27f zenon_H280 zenon_H281 zenon_Hed zenon_Hca zenon_H49 zenon_Ha5 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_Hc3 zenon_H197 zenon_He6 zenon_H1a5 zenon_H209 zenon_H2cf zenon_H1d4 zenon_Ha3 zenon_Hac zenon_Hec zenon_H217 zenon_H274 zenon_H22e zenon_H155 zenon_H235 zenon_H122 zenon_He7 zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_Hc4 zenon_H76 zenon_H65 zenon_H75 zenon_Heb zenon_H127. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.48 apply (zenon_L1059_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1105_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1109_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L121_); trivial. % 1.32/1.48 apply (zenon_L1110_); trivial. % 1.32/1.48 apply (zenon_L1135_); trivial. % 1.32/1.48 apply (zenon_L1132_); trivial. % 1.32/1.48 apply (zenon_L1138_); trivial. % 1.32/1.48 apply (zenon_L1140_); trivial. % 1.32/1.48 (* end of lemma zenon_L1141_ *) % 1.32/1.48 assert (zenon_L1142_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H214 zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1062_); trivial. % 1.32/1.48 apply (zenon_L332_); trivial. % 1.32/1.48 (* end of lemma zenon_L1142_ *) % 1.32/1.48 assert (zenon_L1143_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H217 zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.48 apply (zenon_L156_); trivial. % 1.32/1.48 apply (zenon_L1142_); trivial. % 1.32/1.48 (* end of lemma zenon_L1143_ *) % 1.32/1.48 assert (zenon_L1144_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hc9 zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H16d zenon_H5 zenon_H10c zenon_H335 zenon_H336 zenon_H337 zenon_H21a. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1088_); trivial. % 1.32/1.48 apply (zenon_L332_); trivial. % 1.32/1.48 (* end of lemma zenon_L1144_ *) % 1.32/1.48 assert (zenon_L1145_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hed zenon_H16d zenon_H5 zenon_H10c zenon_H21a zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H49 zenon_H2c3 zenon_Hec zenon_H217. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1143_); trivial. % 1.32/1.48 apply (zenon_L1144_); trivial. % 1.32/1.48 (* end of lemma zenon_L1145_ *) % 1.32/1.48 assert (zenon_L1146_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H123 zenon_Hf4 zenon_H2c7 zenon_H12a zenon_H113 zenon_H112 zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H122 zenon_Heb. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1073_); trivial. % 1.32/1.48 apply (zenon_L351_); trivial. % 1.32/1.48 (* end of lemma zenon_L1146_ *) % 1.32/1.48 assert (zenon_L1147_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H126 zenon_H127 zenon_Heb zenon_H122 zenon_H335 zenon_H336 zenon_H337 zenon_H11e zenon_Hc4 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c7 zenon_Hf4. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L1079_); trivial. % 1.32/1.48 apply (zenon_L351_); trivial. % 1.32/1.48 apply (zenon_L1146_); trivial. % 1.32/1.48 (* end of lemma zenon_L1147_ *) % 1.32/1.48 assert (zenon_L1148_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp27)\/(hskp16))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H156 zenon_Hf4 zenon_H110 zenon_H4d zenon_H4b zenon_H49 zenon_H2cf zenon_H108 zenon_H337 zenon_H336 zenon_H335 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H2c3 zenon_Hec zenon_Hca. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.48 apply (zenon_L25_); trivial. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.48 apply (zenon_L62_); trivial. % 1.32/1.48 exact (zenon_H5f zenon_H60). % 1.32/1.48 apply (zenon_L332_); trivial. % 1.32/1.48 apply (zenon_L1081_); trivial. % 1.32/1.48 (* end of lemma zenon_L1148_ *) % 1.32/1.48 assert (zenon_L1149_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H15a zenon_Hec zenon_H2c3 zenon_H49 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H335 zenon_H336 zenon_H337 zenon_H21a. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1092_); trivial. % 1.32/1.48 apply (zenon_L332_); trivial. % 1.32/1.48 (* end of lemma zenon_L1149_ *) % 1.32/1.48 assert (zenon_L1150_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H214 zenon_Hec zenon_H10e zenon_H65 zenon_H10c zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1062_); trivial. % 1.32/1.48 apply (zenon_L65_); trivial. % 1.32/1.48 (* end of lemma zenon_L1150_ *) % 1.32/1.48 assert (zenon_L1151_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H10c zenon_H65 zenon_H10e zenon_Hec zenon_H217. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.48 apply (zenon_L156_); trivial. % 1.32/1.48 apply (zenon_L1150_); trivial. % 1.32/1.48 apply (zenon_L446_); trivial. % 1.32/1.48 (* end of lemma zenon_L1151_ *) % 1.32/1.48 assert (zenon_L1152_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(c1_1 (a2197))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (c3_1 (a2197)) -> False). % 1.32/1.48 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H34 zenon_Hf8 zenon_H36. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.48 apply (zenon_L441_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L149_); trivial. % 1.32/1.48 (* end of lemma zenon_L1152_ *) % 1.32/1.48 assert (zenon_L1153_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H42 zenon_H110 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_H87 zenon_H88 zenon_H89. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.32/1.48 apply (zenon_L1152_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L36_); trivial. % 1.32/1.48 (* end of lemma zenon_L1153_ *) % 1.32/1.48 assert (zenon_L1154_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hea zenon_H46 zenon_H110 zenon_H2ff zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H16f zenon_H209 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H10c zenon_H65 zenon_H10e zenon_Hec zenon_H217 zenon_H1d2 zenon_H1d0 zenon_H76 zenon_H71 zenon_H75 zenon_H235. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.48 apply (zenon_L1151_); trivial. % 1.32/1.48 apply (zenon_L450_); trivial. % 1.32/1.48 apply (zenon_L1153_); trivial. % 1.32/1.48 (* end of lemma zenon_L1154_ *) % 1.32/1.48 assert (zenon_L1155_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hf4 zenon_H46 zenon_H110 zenon_H2ff zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H16f zenon_H209 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H10c zenon_H65 zenon_H10e zenon_Hec zenon_H217 zenon_H1d2 zenon_H1d0 zenon_H76 zenon_H71 zenon_H75 zenon_H235 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.48 apply (zenon_L559_); trivial. % 1.32/1.48 apply (zenon_L1154_); trivial. % 1.32/1.48 (* end of lemma zenon_L1155_ *) % 1.32/1.48 assert (zenon_L1156_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp22)) -> False). % 1.32/1.48 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_H71 zenon_H52 zenon_H50 zenon_Ha zenon_H5f zenon_H61. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.48 apply (zenon_L441_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L404_); trivial. % 1.32/1.48 (* end of lemma zenon_L1156_ *) % 1.32/1.48 assert (zenon_L1157_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp13)) -> (~(hskp19)) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hab zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_H303 zenon_H1 zenon_H301. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.48 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.48 apply (zenon_L441_); trivial. % 1.32/1.48 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.48 apply (zenon_L1058_); trivial. % 1.32/1.48 apply (zenon_L505_); trivial. % 1.32/1.48 (* end of lemma zenon_L1157_ *) % 1.32/1.48 assert (zenon_L1158_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hec zenon_H1 zenon_H301 zenon_H303 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H2ff. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L1156_); trivial. % 1.32/1.48 apply (zenon_L1157_); trivial. % 1.32/1.48 (* end of lemma zenon_L1158_ *) % 1.32/1.48 assert (zenon_L1159_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> False). % 1.32/1.48 do 0 intro. intros zenon_Hec zenon_H10e zenon_H65 zenon_Ha zenon_H305 zenon_H306 zenon_H307 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.48 apply (zenon_L582_); trivial. % 1.32/1.48 apply (zenon_L65_); trivial. % 1.32/1.48 (* end of lemma zenon_L1159_ *) % 1.32/1.48 assert (zenon_L1160_ : ((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.48 do 0 intro. intros zenon_H315 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H1f9 zenon_H10c zenon_H50 zenon_H52 zenon_H71 zenon_H65 zenon_H10e zenon_Hec. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.48 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.48 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.48 apply (zenon_L1159_); trivial. % 1.32/1.48 apply (zenon_L446_); trivial. % 1.32/1.48 (* end of lemma zenon_L1160_ *) % 1.32/1.48 assert (zenon_L1161_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H318 zenon_H1f9 zenon_H65 zenon_H10e zenon_Hec zenon_H1 zenon_H303 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H16f zenon_H19 zenon_H16d zenon_H5 zenon_H10c zenon_H23 zenon_H276 zenon_H155 zenon_Hed. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L1158_); trivial. % 1.32/1.49 apply (zenon_L446_); trivial. % 1.32/1.49 apply (zenon_L1160_); trivial. % 1.32/1.49 (* end of lemma zenon_L1161_ *) % 1.32/1.49 assert (zenon_L1162_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hea zenon_H46 zenon_H110 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H10c zenon_H5 zenon_H16d zenon_H16f zenon_H2ff zenon_H50 zenon_H52 zenon_H71 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H303 zenon_H1 zenon_Hec zenon_H10e zenon_H65 zenon_H1f9 zenon_H318. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_L1161_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 (* end of lemma zenon_L1162_ *) % 1.32/1.49 assert (zenon_L1163_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (~(c1_1 (a2193))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.32/1.49 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H1d6 zenon_H78 zenon_H1d7 zenon_H1d8. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L144_); trivial. % 1.32/1.49 (* end of lemma zenon_L1163_ *) % 1.32/1.49 assert (zenon_L1164_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23)))))) -> (~(c2_1 (a2193))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hac zenon_H335 zenon_H336 zenon_H337 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H1d8 zenon_H1d6 zenon_Hf8 zenon_H1d7 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L1163_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L386_); trivial. % 1.32/1.49 apply (zenon_L87_); trivial. % 1.32/1.49 (* end of lemma zenon_L1164_ *) % 1.32/1.49 assert (zenon_L1165_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.32/1.49 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H91 zenon_H92 zenon_H93 zenon_H94. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L37_); trivial. % 1.32/1.49 (* end of lemma zenon_L1165_ *) % 1.32/1.49 assert (zenon_L1166_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hab zenon_Hac zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H52 zenon_H50 zenon_H5a zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L1163_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L1165_); trivial. % 1.32/1.49 (* end of lemma zenon_L1166_ *) % 1.32/1.49 assert (zenon_L1167_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c1_1 (a2193))) -> (~(c2_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hec zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H2ff zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H122 zenon_H1d zenon_H52 zenon_H50 zenon_H5a zenon_H2cf. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1060_); trivial. % 1.32/1.49 apply (zenon_L1166_); trivial. % 1.32/1.49 (* end of lemma zenon_L1167_ *) % 1.32/1.49 assert (zenon_L1168_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2193)) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hf5 zenon_Hf4 zenon_H46 zenon_H110 zenon_H16f zenon_H155 zenon_H2cf zenon_H122 zenon_H337 zenon_H336 zenon_H335 zenon_H2ff zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hac zenon_Hec. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1167_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.49 apply (zenon_L442_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L1163_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L87_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 (* end of lemma zenon_L1168_ *) % 1.32/1.49 assert (zenon_L1169_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H2cf zenon_H122 zenon_Hec zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H110 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_Hac zenon_H16f zenon_H46 zenon_Hf4. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L559_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.49 apply (zenon_L442_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H111 ]. % 1.32/1.49 apply (zenon_L1164_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H86 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L36_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 apply (zenon_L1168_); trivial. % 1.32/1.49 (* end of lemma zenon_L1169_ *) % 1.32/1.49 assert (zenon_L1170_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c0_1 (a2187)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H113 zenon_H90 zenon_H112 zenon_Ha zenon_Hb6. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc8 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb | zenon_intro zenon_Hb7 ]. % 1.32/1.49 apply (zenon_L70_); trivial. % 1.32/1.49 exact (zenon_Hb6 zenon_Hb7). % 1.32/1.49 (* end of lemma zenon_L1170_ *) % 1.32/1.49 assert (zenon_L1171_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.32/1.49 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H113 zenon_H112 zenon_Ha zenon_Hb6. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L1170_); trivial. % 1.32/1.49 (* end of lemma zenon_L1171_ *) % 1.32/1.49 assert (zenon_L1172_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Heb zenon_H122 zenon_H1d zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_Hc4 zenon_H113 zenon_H112 zenon_H2ff. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L1171_); trivial. % 1.32/1.49 apply (zenon_L130_); trivial. % 1.32/1.49 (* end of lemma zenon_L1172_ *) % 1.32/1.49 assert (zenon_L1173_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H75 zenon_He7 zenon_H337 zenon_H336 zenon_H335 zenon_He0 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H19 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H1a5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L693_); trivial. % 1.32/1.49 apply (zenon_L1075_); trivial. % 1.32/1.49 (* end of lemma zenon_L1173_ *) % 1.32/1.49 assert (zenon_L1174_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c1_1 (a2195))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hed zenon_Hca zenon_H75 zenon_He7 zenon_He0 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H197 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hc3 zenon_H1a5 zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H1d4 zenon_H5 zenon_H19 zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_H89 zenon_H88 zenon_H87 zenon_Hac zenon_Hec zenon_H217. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L1109_); trivial. % 1.32/1.49 apply (zenon_L1173_); trivial. % 1.32/1.49 (* end of lemma zenon_L1174_ *) % 1.32/1.49 assert (zenon_L1175_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2268))) -> (~(c0_1 (a2268))) -> (c1_1 (a2268)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp14)) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hab zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_H1d2 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5a zenon_H50 zenon_H52 zenon_H19a zenon_H199 zenon_H19b zenon_Hac zenon_H1d0. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L584_); trivial. % 1.32/1.49 (* end of lemma zenon_L1175_ *) % 1.32/1.49 assert (zenon_L1176_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H1a2 zenon_Hec zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H2ff. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1156_); trivial. % 1.32/1.49 apply (zenon_L1175_); trivial. % 1.32/1.49 (* end of lemma zenon_L1176_ *) % 1.32/1.49 assert (zenon_L1177_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp24)) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H1a5 zenon_Hec zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H2ff zenon_H47 zenon_H19 zenon_H197. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.49 apply (zenon_L118_); trivial. % 1.32/1.49 apply (zenon_L1176_); trivial. % 1.32/1.49 (* end of lemma zenon_L1177_ *) % 1.32/1.49 assert (zenon_L1178_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> False). % 1.32/1.49 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_He0 zenon_H7b zenon_H79 zenon_H78 zenon_H227 zenon_H226 zenon_H225 zenon_H1c6 zenon_Ha zenon_H112 zenon_H113 zenon_H12a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L513_); trivial. % 1.32/1.49 (* end of lemma zenon_L1178_ *) % 1.32/1.49 assert (zenon_L1179_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2187)) -> (c0_1 (a2187)) -> (~(c1_1 (a2187))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (ndr1_0) -> (c1_1 (a2196)) -> (c2_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hac zenon_H12a zenon_H113 zenon_H112 zenon_H1c6 zenon_H225 zenon_H226 zenon_H227 zenon_H79 zenon_H7b zenon_He0 zenon_H335 zenon_H336 zenon_H337 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H52 zenon_H50 zenon_H5a zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L1178_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L87_); trivial. % 1.32/1.49 (* end of lemma zenon_L1179_ *) % 1.32/1.49 assert (zenon_L1180_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> (c2_1 (a2187)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H232 zenon_Hed zenon_H75 zenon_He7 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H5 zenon_Hc3 zenon_H27 zenon_H23 zenon_H21 zenon_H1a5 zenon_Hec zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H19 zenon_H197 zenon_H16f zenon_H112 zenon_H113 zenon_H12a zenon_He0 zenon_H290 zenon_H155 zenon_Hca zenon_H43. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.49 apply (zenon_L16_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L1177_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1156_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.49 apply (zenon_L442_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.32/1.49 apply (zenon_L17_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H15f | zenon_intro zenon_H1d3 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d1 ]. % 1.32/1.49 apply (zenon_L1178_); trivial. % 1.32/1.49 exact (zenon_H1d0 zenon_H1d1). % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L37_); trivial. % 1.32/1.49 apply (zenon_L1179_); trivial. % 1.32/1.49 apply (zenon_L1173_); trivial. % 1.32/1.49 (* end of lemma zenon_L1180_ *) % 1.32/1.49 assert (zenon_L1181_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2187))) -> (c0_1 (a2187)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (c2_1 (a2187)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hea zenon_H46 zenon_H110 zenon_H2ff zenon_H112 zenon_H113 zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hed zenon_Hca zenon_H75 zenon_He7 zenon_He0 zenon_H65 zenon_H76 zenon_H197 zenon_H1d2 zenon_H1d0 zenon_Hc3 zenon_H1a5 zenon_H209 zenon_H2cf zenon_H1d4 zenon_H5 zenon_H5a zenon_H50 zenon_H52 zenon_Ha3 zenon_Hac zenon_Hec zenon_H217 zenon_H43 zenon_H155 zenon_H290 zenon_H12a zenon_H16f zenon_H71 zenon_H21 zenon_H23 zenon_H27 zenon_H235 zenon_Heb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L1171_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.49 apply (zenon_L1174_); trivial. % 1.32/1.49 apply (zenon_L1180_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 (* end of lemma zenon_L1181_ *) % 1.32/1.49 assert (zenon_L1182_ : ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c3_1 (a2186)) -> (~(c1_1 (a2186))) -> (~(c0_1 (a2186))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hf4 zenon_H110 zenon_H337 zenon_H336 zenon_H335 zenon_Hfb zenon_Hfa zenon_Hf9 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H15 zenon_H23e. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L559_); trivial. % 1.32/1.49 apply (zenon_L1081_); trivial. % 1.32/1.49 (* end of lemma zenon_L1182_ *) % 1.32/1.49 assert (zenon_L1183_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H156 zenon_H12b zenon_H2ff zenon_Hc4 zenon_Heb zenon_Hf4 zenon_H110 zenon_H337 zenon_H336 zenon_H335 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Hec zenon_H10e zenon_H65 zenon_H122 zenon_H2cf zenon_Hf3. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1182_); trivial. % 1.32/1.49 apply (zenon_L1082_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1172_); trivial. % 1.32/1.49 apply (zenon_L1081_); trivial. % 1.32/1.49 (* end of lemma zenon_L1183_ *) % 1.32/1.49 assert (zenon_L1184_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H159 zenon_H127 zenon_Heb zenon_Hc4 zenon_Hf3 zenon_H303 zenon_H1f9 zenon_H318 zenon_H122 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H235 zenon_H75 zenon_H71 zenon_H76 zenon_H1d2 zenon_H217 zenon_Hec zenon_H10e zenon_H65 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H16f zenon_H16d zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_H2ff zenon_H110 zenon_H46 zenon_Hf4 zenon_Hac zenon_H201 zenon_Hca zenon_He7 zenon_He0 zenon_H197 zenon_Hc3 zenon_H1a5 zenon_H1d4 zenon_Ha3 zenon_H43 zenon_H290 zenon_H21 zenon_H27 zenon_H1b zenon_H2fb zenon_H12b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1155_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1061_); trivial. % 1.32/1.49 apply (zenon_L1162_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1073_); trivial. % 1.32/1.49 apply (zenon_L1154_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1059_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1172_); trivial. % 1.32/1.49 apply (zenon_L1181_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_L1183_); trivial. % 1.32/1.49 (* end of lemma zenon_L1184_ *) % 1.32/1.49 assert (zenon_L1185_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H305 zenon_H306 zenon_H307 zenon_H30e. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.49 apply (zenon_L512_); trivial. % 1.32/1.49 apply (zenon_L136_); trivial. % 1.32/1.49 (* end of lemma zenon_L1185_ *) % 1.32/1.49 assert (zenon_L1186_ : ((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H315 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H4b zenon_H147 zenon_H75 zenon_H71 zenon_Hcd zenon_Hce zenon_Hcf zenon_H65 zenon_H76 zenon_H30e zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_H1be zenon_H1c1 zenon_H1c5 zenon_Hec. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L51_); trivial. % 1.32/1.49 apply (zenon_L1185_); trivial. % 1.32/1.49 apply (zenon_L574_); trivial. % 1.32/1.49 (* end of lemma zenon_L1186_ *) % 1.32/1.49 assert (zenon_L1187_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp13)\/((hskp24)\/(hskp14))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hca zenon_Hec zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H13c zenon_H13d zenon_H13e zenon_H2de zenon_H335 zenon_H336 zenon_H337 zenon_H122 zenon_H1d zenon_H52 zenon_H50 zenon_H5a zenon_H2cf zenon_H1 zenon_H1d0 zenon_H218. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L160_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1060_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L837_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L1165_); trivial. % 1.32/1.49 (* end of lemma zenon_L1187_ *) % 1.32/1.49 assert (zenon_L1188_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc9 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_H18b zenon_H13e zenon_H13d zenon_H13c zenon_H50 zenon_H52. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.49 apply (zenon_L1058_); trivial. % 1.32/1.49 apply (zenon_L592_); trivial. % 1.32/1.49 (* end of lemma zenon_L1188_ *) % 1.32/1.49 assert (zenon_L1189_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hed zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H2ff zenon_H50 zenon_H52 zenon_H71 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H303 zenon_H301 zenon_H1 zenon_Hec. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L1158_); trivial. % 1.32/1.49 apply (zenon_L1188_); trivial. % 1.32/1.49 (* end of lemma zenon_L1189_ *) % 1.32/1.49 assert (zenon_L1190_ : ((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H315 zenon_Hed zenon_H18b zenon_H1a5 zenon_Hec zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H71 zenon_H52 zenon_H50 zenon_H10c zenon_H1f9 zenon_H19 zenon_H197 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_H30e zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H1c5 zenon_Hca. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L586_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1156_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.49 apply (zenon_L512_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fb ]. % 1.32/1.49 apply (zenon_L511_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H90 | zenon_intro zenon_H10d ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L588_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L37_); trivial. % 1.32/1.49 exact (zenon_H10c zenon_H10d). % 1.32/1.49 apply (zenon_L1188_); trivial. % 1.32/1.49 (* end of lemma zenon_L1190_ *) % 1.32/1.49 assert (zenon_L1191_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> (~(hskp13)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Heb zenon_H318 zenon_H1a5 zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H1f9 zenon_H19 zenon_H197 zenon_H30e zenon_H1c1 zenon_H1be zenon_He0 zenon_H1c5 zenon_Hca zenon_Hec zenon_H1 zenon_H303 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H18b zenon_Hed zenon_H16d zenon_H5 zenon_H10c zenon_H13e zenon_H13d zenon_H13c zenon_Ha zenon_H1ae. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L129_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.49 apply (zenon_L1189_); trivial. % 1.32/1.49 apply (zenon_L1190_); trivial. % 1.32/1.49 (* end of lemma zenon_L1191_ *) % 1.32/1.49 assert (zenon_L1192_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H123 zenon_Hf4 zenon_H1c5 zenon_H1c1 zenon_H1be zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_H1b2 zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H122 zenon_Heb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1073_); trivial. % 1.32/1.49 apply (zenon_L137_); trivial. % 1.32/1.49 (* end of lemma zenon_L1192_ *) % 1.32/1.49 assert (zenon_L1193_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H200 zenon_H201 zenon_Hf3 zenon_H2cf zenon_H122 zenon_Hec zenon_H23e zenon_H155 zenon_H1f7 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_Hac zenon_H16f zenon_H110 zenon_H46 zenon_Hf4 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_L477_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L559_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.49 apply (zenon_L442_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1fa ]. % 1.32/1.49 apply (zenon_L1164_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H15f | zenon_intro zenon_H1c6 ]. % 1.32/1.49 apply (zenon_L441_); trivial. % 1.32/1.49 apply (zenon_L140_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 apply (zenon_L1168_); trivial. % 1.32/1.49 (* end of lemma zenon_L1193_ *) % 1.32/1.49 assert (zenon_L1194_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H204 zenon_H1f7 zenon_H201 zenon_Hf4 zenon_H46 zenon_H110 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H10c zenon_H5 zenon_H16d zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H16f zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H335 zenon_H336 zenon_H337 zenon_H303 zenon_H2ff zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H30e zenon_H147 zenon_H4b zenon_H318 zenon_Heb zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Hca zenon_Hac zenon_H2de zenon_H122 zenon_H2cf zenon_H218 zenon_H1a5 zenon_H1d2 zenon_H1f9 zenon_H197 zenon_He0 zenon_H18b zenon_Hf3 zenon_Hc4 zenon_H1b2 zenon_H127. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L559_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L129_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L51_); trivial. % 1.32/1.49 apply (zenon_L1157_); trivial. % 1.32/1.49 apply (zenon_L446_); trivial. % 1.32/1.49 apply (zenon_L1186_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1187_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_L1191_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_L1192_); trivial. % 1.32/1.49 apply (zenon_L1193_); trivial. % 1.32/1.49 (* end of lemma zenon_L1194_ *) % 1.32/1.49 assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (c0_1 (a2188)) -> (c1_1 (a2188)) -> (c2_1 (a2188)) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H152 zenon_Hac zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H20b zenon_H20d zenon_H20c zenon_H1c1 zenon_H52 zenon_H50 zenon_H5a. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L655_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L87_); trivial. % 1.32/1.49 (* end of lemma zenon_L1195_ *) % 1.32/1.49 assert (zenon_L1196_ : ((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H1c0 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H20b zenon_H20d zenon_H20c zenon_H1be zenon_H1c1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Ha. zenon_intro zenon_H1c2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.49 apply (zenon_L442_); trivial. % 1.32/1.49 apply (zenon_L1195_); trivial. % 1.32/1.49 (* end of lemma zenon_L1196_ *) % 1.32/1.49 assert (zenon_L1197_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hab zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H20b zenon_H20d zenon_H20c zenon_H1be zenon_H1c1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.49 apply (zenon_L512_); trivial. % 1.32/1.49 apply (zenon_L1196_); trivial. % 1.32/1.49 (* end of lemma zenon_L1197_ *) % 1.32/1.49 assert (zenon_L1198_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H214 zenon_Hec zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1be zenon_H1c1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1062_); trivial. % 1.32/1.49 apply (zenon_L1197_); trivial. % 1.32/1.49 (* end of lemma zenon_L1198_ *) % 1.32/1.49 assert (zenon_L1199_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H217 zenon_Hec zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H1be zenon_H1c1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.49 apply (zenon_L156_); trivial. % 1.32/1.49 apply (zenon_L1198_); trivial. % 1.32/1.49 (* end of lemma zenon_L1199_ *) % 1.32/1.49 assert (zenon_L1200_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c3_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c0_1 (a2211))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hed zenon_H2ff zenon_H13c zenon_H13d zenon_H13e zenon_H18b zenon_H209 zenon_H205 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H30e zenon_H307 zenon_H306 zenon_H305 zenon_H16f zenon_H19 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1c1 zenon_H1be zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H155 zenon_H1c5 zenon_Hec zenon_H217. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L1199_); trivial. % 1.32/1.49 apply (zenon_L1188_); trivial. % 1.32/1.49 (* end of lemma zenon_L1200_ *) % 1.32/1.49 assert (zenon_L1201_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2216))) -> (~(c3_1 (a2216))) -> (c0_1 (a2216)) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H19 zenon_H16f zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H1d2 zenon_H1d0 zenon_H225 zenon_H226 zenon_H227 zenon_H65 zenon_H76 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H61 zenon_H71 zenon_H75. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L448_); trivial. % 1.32/1.49 apply (zenon_L591_); trivial. % 1.32/1.49 (* end of lemma zenon_L1201_ *) % 1.32/1.49 assert (zenon_L1202_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc2 zenon_H1c5 zenon_H155 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.49 apply (zenon_L133_); trivial. % 1.32/1.49 apply (zenon_L590_); trivial. % 1.32/1.49 (* end of lemma zenon_L1202_ *) % 1.32/1.49 assert (zenon_L1203_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> (~(c1_1 (a2198))) -> (~(c2_1 (a2198))) -> (c0_1 (a2198)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> (~(c1_1 (a2191))) -> (~(c3_1 (a2191))) -> (c0_1 (a2191)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hca zenon_H1c5 zenon_H155 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H16f zenon_H87 zenon_H88 zenon_H89 zenon_Hc zenon_Hd zenon_He zenon_H1b2 zenon_H197 zenon_H19 zenon_H2ff zenon_H50 zenon_H52 zenon_H61 zenon_H71 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_Hac zenon_Hec zenon_H1a5. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L1177_); trivial. % 1.32/1.49 apply (zenon_L1202_); trivial. % 1.32/1.49 (* end of lemma zenon_L1203_ *) % 1.32/1.49 assert (zenon_L1204_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c0_1 (a2191)) -> (~(c3_1 (a2191))) -> (~(c1_1 (a2191))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hea zenon_H46 zenon_H110 zenon_Hc4 zenon_He zenon_Hd zenon_Hc zenon_H337 zenon_H336 zenon_H335 zenon_Hca zenon_H1c5 zenon_H155 zenon_H1c1 zenon_H1be zenon_H13e zenon_H13d zenon_H13c zenon_He0 zenon_H16f zenon_H1b2 zenon_H197 zenon_H2ff zenon_H50 zenon_H52 zenon_H71 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_Hac zenon_Hec zenon_H1a5 zenon_H18b zenon_Hed zenon_Heb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L1072_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L1203_); trivial. % 1.32/1.49 apply (zenon_L1188_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 (* end of lemma zenon_L1204_ *) % 1.32/1.49 assert (zenon_L1205_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H126 zenon_H204 zenon_H1f7 zenon_H201 zenon_H23e zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Hca zenon_Hec zenon_Hac zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ff zenon_H13c zenon_H13d zenon_H13e zenon_H2de zenon_H122 zenon_H2cf zenon_H218 zenon_Heb zenon_H318 zenon_H235 zenon_H1a5 zenon_H1d2 zenon_H197 zenon_H75 zenon_H76 zenon_H65 zenon_He0 zenon_H217 zenon_H1c5 zenon_H155 zenon_H1c1 zenon_H16f zenon_H30e zenon_H209 zenon_H303 zenon_H71 zenon_H18b zenon_Hed zenon_Hc4 zenon_H110 zenon_H46 zenon_Hf4 zenon_Hf3 zenon_H1b2 zenon_H127. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1059_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1187_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L1171_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.49 apply (zenon_L1189_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.49 apply (zenon_L1200_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L1177_); trivial. % 1.32/1.49 apply (zenon_L1201_); trivial. % 1.32/1.49 apply (zenon_L1188_); trivial. % 1.32/1.49 apply (zenon_L1153_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1059_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1073_); trivial. % 1.32/1.49 apply (zenon_L1204_); trivial. % 1.32/1.49 apply (zenon_L1169_); trivial. % 1.32/1.49 apply (zenon_L1193_); trivial. % 1.32/1.49 (* end of lemma zenon_L1205_ *) % 1.32/1.49 assert (zenon_L1206_ : ((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2186))) -> (~(c1_1 (a2186))) -> (c3_1 (a2186)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H1fd zenon_Hf3 zenon_H2cf zenon_H122 zenon_H2ff zenon_Hac zenon_Hec zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hf9 zenon_Hfa zenon_Hfb zenon_H335 zenon_H336 zenon_H337 zenon_H110 zenon_Hf4. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1182_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1167_); trivial. % 1.32/1.49 apply (zenon_L1081_); trivial. % 1.32/1.49 (* end of lemma zenon_L1206_ *) % 1.32/1.49 assert (zenon_L1207_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H156 zenon_H127 zenon_Hc4 zenon_Heb zenon_Hf3 zenon_H218 zenon_H2cf zenon_H122 zenon_H2de zenon_H13e zenon_H13d zenon_H13c zenon_H2ff zenon_Hac zenon_Hec zenon_Hca zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H335 zenon_H336 zenon_H337 zenon_H110 zenon_Hf4 zenon_H201. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.49 apply (zenon_L1182_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.49 apply (zenon_L1187_); trivial. % 1.32/1.49 apply (zenon_L1081_); trivial. % 1.32/1.49 apply (zenon_L1206_); trivial. % 1.32/1.49 apply (zenon_L1085_); trivial. % 1.32/1.49 (* end of lemma zenon_L1207_ *) % 1.32/1.49 assert (zenon_L1208_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> (ndr1_0) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H159 zenon_H204 zenon_H1f7 zenon_H201 zenon_Hf4 zenon_H46 zenon_H110 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H16d zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H16f zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H335 zenon_H336 zenon_H337 zenon_H303 zenon_H2ff zenon_Hec zenon_H1c5 zenon_H1c1 zenon_H30e zenon_H147 zenon_H4b zenon_H318 zenon_Heb zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H23e zenon_Hca zenon_Hac zenon_H2de zenon_H122 zenon_H2cf zenon_H218 zenon_H1a5 zenon_H1d2 zenon_H1f9 zenon_H197 zenon_He0 zenon_H18b zenon_Hf3 zenon_Hc4 zenon_H1b2 zenon_H127 zenon_H209 zenon_H217 zenon_H235 zenon_H1b zenon_H2fb zenon_H12b. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.49 apply (zenon_L1194_); trivial. % 1.32/1.49 apply (zenon_L1205_); trivial. % 1.32/1.49 apply (zenon_L1207_); trivial. % 1.32/1.49 (* end of lemma zenon_L1208_ *) % 1.32/1.49 assert (zenon_L1209_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2216)) -> (~(c3_1 (a2216))) -> (~(c2_1 (a2216))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H75 zenon_He7 zenon_H337 zenon_H336 zenon_H335 zenon_He0 zenon_Hcf zenon_Hce zenon_Hcd zenon_H76 zenon_H65 zenon_H227 zenon_H226 zenon_H225 zenon_H197 zenon_H19 zenon_H1d2 zenon_H1d0 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5 zenon_Hc3 zenon_H1a5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L693_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.32/1.49 apply (zenon_L447_); trivial. % 1.32/1.49 apply (zenon_L1074_); trivial. % 1.32/1.49 (* end of lemma zenon_L1209_ *) % 1.32/1.49 assert (zenon_L1210_ : ((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c0_1 (a2198)) -> (~(c2_1 (a2198))) -> (~(c1_1 (a2198))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2194))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp17)) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H232 zenon_Hed zenon_H75 zenon_He7 zenon_Hcf zenon_Hce zenon_Hcd zenon_H76 zenon_H65 zenon_H5 zenon_Hc3 zenon_H1a5 zenon_Hec zenon_Hac zenon_H5a zenon_H1d0 zenon_H1d2 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H52 zenon_H50 zenon_H2ff zenon_H19 zenon_H197 zenon_H296 zenon_H297 zenon_H298 zenon_He0 zenon_Hca. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.49 apply (zenon_L1177_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.49 apply (zenon_L1156_); trivial. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.49 apply (zenon_L793_); trivial. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.49 apply (zenon_L41_); trivial. % 1.32/1.49 apply (zenon_L1165_); trivial. % 1.32/1.49 apply (zenon_L1209_); trivial. % 1.32/1.49 (* end of lemma zenon_L1210_ *) % 1.32/1.49 assert (zenon_L1211_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2195))) -> (~(c2_1 (a2195))) -> (~(c3_1 (a2195))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((hskp17)\/(hskp10))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hf0 zenon_H235 zenon_H71 zenon_H2ff zenon_H296 zenon_H297 zenon_H298 zenon_H217 zenon_Hec zenon_Hac zenon_H87 zenon_H88 zenon_H89 zenon_Ha3 zenon_H52 zenon_H50 zenon_H5a zenon_H19 zenon_H5 zenon_H1d4 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H1a5 zenon_Hc3 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H1d0 zenon_H1d2 zenon_H197 zenon_H76 zenon_H65 zenon_He0 zenon_He7 zenon_H75 zenon_Hca zenon_Hed. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.49 apply (zenon_L1174_); trivial. % 1.32/1.49 apply (zenon_L1210_); trivial. % 1.32/1.49 (* end of lemma zenon_L1211_ *) % 1.32/1.49 assert (zenon_L1212_ : ((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp1)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_Hf0 zenon_Hed zenon_H155 zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H19 zenon_H16f zenon_H75 zenon_H71 zenon_H65 zenon_H76 zenon_H10c zenon_H10e zenon_Hec. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.49 apply (zenon_L193_); trivial. % 1.32/1.49 apply (zenon_L446_); trivial. % 1.32/1.49 (* end of lemma zenon_L1212_ *) % 1.32/1.49 assert (zenon_L1213_ : ((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((hskp11)\/(hskp1))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/((hskp30)\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2208))/\((c1_1 (a2208))/\(c3_1 (a2208)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.49 do 0 intro. intros zenon_H123 zenon_H46 zenon_H2cb zenon_H2bc zenon_H2bb zenon_H2ba zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_Hec zenon_H10e zenon_H10c zenon_H76 zenon_H65 zenon_H71 zenon_H75 zenon_H16f zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H16d zenon_H5 zenon_H23 zenon_H276 zenon_H155 zenon_Hed zenon_Heb. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.49 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.49 apply (zenon_L1072_); trivial. % 1.32/1.49 apply (zenon_L1212_); trivial. % 1.32/1.49 apply (zenon_L366_); trivial. % 1.32/1.49 (* end of lemma zenon_L1213_ *) % 1.32/1.49 assert (zenon_L1214_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H126 zenon_Hf4 zenon_H2c7 zenon_H2bc zenon_H2bb zenon_H2ba zenon_H2ff zenon_Hc4 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H122 zenon_Heb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1172_); trivial. % 1.32/1.50 apply (zenon_L351_); trivial. % 1.32/1.50 (* end of lemma zenon_L1214_ *) % 1.32/1.50 assert (zenon_L1215_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H156 zenon_Hf3 zenon_H46 zenon_H16f zenon_H2ba zenon_H2bb zenon_H2bc zenon_Hac zenon_H65 zenon_H2cb zenon_H155 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H335 zenon_H336 zenon_H337 zenon_H110 zenon_Hf4. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1182_); trivial. % 1.32/1.50 apply (zenon_L834_); trivial. % 1.32/1.50 (* end of lemma zenon_L1215_ *) % 1.32/1.50 assert (zenon_L1216_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp16)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H11e zenon_H94 zenon_H93 zenon_H92 zenon_H91 zenon_Ha zenon_H1 zenon_H1d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H90 | zenon_intro zenon_H11f ]. % 1.32/1.50 apply (zenon_L37_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H2 | zenon_intro zenon_H1e ]. % 1.32/1.50 exact (zenon_H1 zenon_H2). % 1.32/1.50 exact (zenon_H1d zenon_H1e). % 1.32/1.50 (* end of lemma zenon_L1216_ *) % 1.32/1.50 assert (zenon_L1217_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(hskp16)) -> (~(hskp13)) -> (ndr1_0) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp2)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Ha5 zenon_H7b zenon_H79 zenon_H78 zenon_H1d zenon_H1 zenon_Ha zenon_H92 zenon_H93 zenon_H94 zenon_H11e zenon_H49. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha6 ]. % 1.32/1.50 apply (zenon_L35_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H91 | zenon_intro zenon_H4a ]. % 1.32/1.50 apply (zenon_L1216_); trivial. % 1.32/1.50 exact (zenon_H49 zenon_H4a). % 1.32/1.50 (* end of lemma zenon_L1217_ *) % 1.32/1.50 assert (zenon_L1218_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (~(c2_1 (a2265))) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp16)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hac zenon_H20c zenon_H20d zenon_H20b zenon_H1a6 zenon_H52 zenon_H50 zenon_H5a zenon_H11e zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H1 zenon_H1d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.50 apply (zenon_L382_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.50 apply (zenon_L41_); trivial. % 1.32/1.50 apply (zenon_L1216_); trivial. % 1.32/1.50 (* end of lemma zenon_L1218_ *) % 1.32/1.50 assert (zenon_L1219_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp16)) -> (~(hskp13)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hc2 zenon_H217 zenon_Hec zenon_H1f8 zenon_H10c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H11e zenon_H1d zenon_H1 zenon_H49 zenon_Ha5 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.50 apply (zenon_L156_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_L1062_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.50 apply (zenon_L1217_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.50 apply (zenon_L1218_); trivial. % 1.32/1.50 exact (zenon_H10c zenon_H10d). % 1.32/1.50 (* end of lemma zenon_L1219_ *) % 1.32/1.50 assert (zenon_L1220_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2219)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_Hbb zenon_Hd6 zenon_Hb9 zenon_Ha zenon_H5a zenon_H50 zenon_H52. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.32/1.50 apply (zenon_L335_); trivial. % 1.32/1.50 apply (zenon_L41_); trivial. % 1.32/1.50 (* end of lemma zenon_L1220_ *) % 1.32/1.50 assert (zenon_L1221_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(hskp16)) -> (~(c2_1 (a2194))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hc9 zenon_He7 zenon_H31e zenon_H31f zenon_H320 zenon_H193 zenon_H337 zenon_H336 zenon_H335 zenon_H122 zenon_H1d zenon_H5a zenon_H52 zenon_H50. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.50 apply (zenon_L1220_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_L1104_); trivial. % 1.32/1.50 (* end of lemma zenon_L1221_ *) % 1.32/1.50 assert (zenon_L1222_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_Hca zenon_H217 zenon_Hec zenon_H1f8 zenon_H10c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H11e zenon_H1 zenon_Ha5 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H209 zenon_H49 zenon_H4b zenon_H4d zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H122 zenon_He7 zenon_Hed zenon_H1b zenon_H1d zenon_H1f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L12_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_L25_); trivial. % 1.32/1.50 apply (zenon_L1219_); trivial. % 1.32/1.50 apply (zenon_L1221_); trivial. % 1.32/1.50 apply (zenon_L1115_); trivial. % 1.32/1.50 (* end of lemma zenon_L1222_ *) % 1.32/1.50 assert (zenon_L1223_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (~(hskp27)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H7b zenon_Hb1 zenon_Ha zenon_H91 zenon_H5f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d0 ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H102 | zenon_intro zenon_H60 ]. % 1.32/1.50 apply (zenon_L61_); trivial. % 1.32/1.50 exact (zenon_H5f zenon_H60). % 1.32/1.50 (* end of lemma zenon_L1223_ *) % 1.32/1.50 assert (zenon_L1224_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c3_1 (a2262)) -> (c1_1 (a2262)) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hac zenon_H7a zenon_H79 zenon_H52 zenon_H50 zenon_H5a zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H7b zenon_Hb1 zenon_Ha zenon_H5f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.50 apply (zenon_L35_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.50 apply (zenon_L41_); trivial. % 1.32/1.50 apply (zenon_L1223_); trivial. % 1.32/1.50 (* end of lemma zenon_L1224_ *) % 1.32/1.50 assert (zenon_L1225_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hea zenon_H43 zenon_Hca zenon_Hec zenon_Ha3 zenon_H31e zenon_H31f zenon_H320 zenon_Hac zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H52 zenon_H50 zenon_H5a zenon_H183 zenon_H49 zenon_H4b zenon_H4d zenon_H21 zenon_H23 zenon_H27. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.50 apply (zenon_L16_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_L25_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.50 apply (zenon_L17_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_L1224_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.50 apply (zenon_L17_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_L711_); trivial. % 1.32/1.50 (* end of lemma zenon_L1225_ *) % 1.32/1.50 assert (zenon_L1226_ : ((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H126 zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_L903_); trivial. % 1.32/1.50 (* end of lemma zenon_L1226_ *) % 1.32/1.50 assert (zenon_L1227_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp27))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((hskp8)\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H15d zenon_H276 zenon_H21a zenon_H127 zenon_Hc4 zenon_Heb zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H46 zenon_H235 zenon_H22e zenon_H22f zenon_Hca zenon_H217 zenon_Hec zenon_H1f8 zenon_Hac zenon_H11e zenon_Ha5 zenon_H2cf zenon_H209 zenon_H49 zenon_H4d zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H122 zenon_He7 zenon_Hed zenon_H1f zenon_H27 zenon_H23 zenon_H21 zenon_H183 zenon_Ha3 zenon_H43 zenon_Hf4 zenon_Hf3 zenon_H12b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1222_); trivial. % 1.32/1.50 apply (zenon_L1225_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1073_); trivial. % 1.32/1.50 apply (zenon_L1225_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 apply (zenon_L1106_); trivial. % 1.32/1.50 (* end of lemma zenon_L1227_ *) % 1.32/1.50 assert (zenon_L1228_ : ((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp2)) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2265))) -> (c3_1 (a2265)) -> (c1_1 (a2265)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H152 zenon_H1f8 zenon_H49 zenon_H79 zenon_H7b zenon_Ha5 zenon_H5a zenon_H50 zenon_H52 zenon_H20b zenon_H20d zenon_H20c zenon_Hac zenon_H10c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.50 apply (zenon_L88_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.50 apply (zenon_L646_); trivial. % 1.32/1.50 exact (zenon_H10c zenon_H10d). % 1.32/1.50 (* end of lemma zenon_L1228_ *) % 1.32/1.50 assert (zenon_L1229_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2262)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H214 zenon_H155 zenon_H1f8 zenon_H10c zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H79 zenon_H7b zenon_H49 zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H4b zenon_H147. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.50 apply (zenon_L86_); trivial. % 1.32/1.50 apply (zenon_L1228_); trivial. % 1.32/1.50 (* end of lemma zenon_L1229_ *) % 1.32/1.50 assert (zenon_L1230_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp21)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hed zenon_H276 zenon_H23 zenon_H5 zenon_H16d zenon_H4d zenon_H4b zenon_H49 zenon_H209 zenon_H205 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_Ha5 zenon_Hac zenon_H52 zenon_H50 zenon_H5a zenon_H10c zenon_H1f8 zenon_H155 zenon_H217 zenon_Hca. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_L25_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.50 apply (zenon_L156_); trivial. % 1.32/1.50 apply (zenon_L1229_); trivial. % 1.32/1.50 apply (zenon_L574_); trivial. % 1.32/1.50 (* end of lemma zenon_L1230_ *) % 1.32/1.50 assert (zenon_L1231_ : ((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hf5 zenon_H235 zenon_H22e zenon_H1 zenon_Hca zenon_H217 zenon_H155 zenon_H1f8 zenon_H10c zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H209 zenon_H49 zenon_H4b zenon_H4d zenon_H16d zenon_H5 zenon_H23 zenon_H276 zenon_Hed. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_L1230_); trivial. % 1.32/1.50 apply (zenon_L311_); trivial. % 1.32/1.50 (* end of lemma zenon_L1231_ *) % 1.32/1.50 assert (zenon_L1232_ : ((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(hskp2)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H200 zenon_H2d1 zenon_H337 zenon_H336 zenon_H335 zenon_H49. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2d2 ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H4a ]. % 1.32/1.50 apply (zenon_L140_); trivial. % 1.32/1.50 exact (zenon_H49 zenon_H4a). % 1.32/1.50 (* end of lemma zenon_L1232_ *) % 1.32/1.50 assert (zenon_L1233_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp24)\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> (c1_1 (a2184)) -> (c0_1 (a2184)) -> (~(c3_1 (a2184))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H156 zenon_H12b zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_Hf3 zenon_Hf4 zenon_H110 zenon_H1f zenon_Hed zenon_H122 zenon_H18b zenon_H4d zenon_H4b zenon_H49 zenon_H209 zenon_H147 zenon_H13e zenon_H13d zenon_H13c zenon_H2de zenon_Hac zenon_H1f8 zenon_H155 zenon_H217 zenon_Hca zenon_H22f zenon_H22e zenon_H235 zenon_H46 zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_Heb zenon_Hc4 zenon_H127. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L12_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_L25_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.50 apply (zenon_L156_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.50 apply (zenon_L86_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.50 apply (zenon_L837_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.50 apply (zenon_L646_); trivial. % 1.32/1.50 exact (zenon_H10c zenon_H10d). % 1.32/1.50 apply (zenon_L435_); trivial. % 1.32/1.50 apply (zenon_L1115_); trivial. % 1.32/1.50 apply (zenon_L1081_); trivial. % 1.32/1.50 apply (zenon_L1085_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 (* end of lemma zenon_L1233_ *) % 1.32/1.50 assert (zenon_L1234_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp2))) -> (~(c3_1 (a2184))) -> (c0_1 (a2184)) -> (c1_1 (a2184)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> (~(hskp2)) -> (~(hskp9)) -> ((hskp24)\/((hskp2)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> (ndr1_0) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H159 zenon_H110 zenon_H1f zenon_H18b zenon_H2de zenon_H22f zenon_H46 zenon_H204 zenon_H2d1 zenon_Hf3 zenon_H235 zenon_H22e zenon_Hca zenon_H217 zenon_H155 zenon_H1f8 zenon_Hac zenon_Ha5 zenon_H13c zenon_H13d zenon_H13e zenon_H147 zenon_H209 zenon_H49 zenon_H4b zenon_H4d zenon_H16d zenon_H23 zenon_H276 zenon_Hed zenon_Ha zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_Heb zenon_H122 zenon_Hc4 zenon_H1b2 zenon_H1c1 zenon_H1c5 zenon_Hf4 zenon_H127 zenon_H31e zenon_H31f zenon_H320 zenon_H193 zenon_H12b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_L1231_); trivial. % 1.32/1.50 apply (zenon_L1192_); trivial. % 1.32/1.50 apply (zenon_L1232_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 apply (zenon_L1233_); trivial. % 1.32/1.50 (* end of lemma zenon_L1234_ *) % 1.32/1.50 assert (zenon_L1235_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2179))) -> (c0_1 (a2179)) -> (c2_1 (a2179)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H12b zenon_Hf3 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_H335 zenon_H336 zenon_H337 zenon_H1b zenon_H2fb zenon_Ha zenon_H296 zenon_H297 zenon_H298 zenon_H5 zenon_H16d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 (* end of lemma zenon_L1235_ *) % 1.32/1.50 assert (zenon_L1236_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2265)) -> (c3_1 (a2265)) -> (~(c2_1 (a2265))) -> (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47)))))) -> (c3_1 (a2193)) -> (~(c1_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2193))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp13)\/(hskp16))) -> (c0_1 (a2178)) -> (c3_1 (a2178)) -> (c2_1 (a2178)) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp16)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hac zenon_H20c zenon_H20d zenon_H20b zenon_H1a6 zenon_H1d8 zenon_H1d6 zenon_H29 zenon_H1d7 zenon_H11e zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H1 zenon_H1d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.50 apply (zenon_L382_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.50 apply (zenon_L200_); trivial. % 1.32/1.50 apply (zenon_L1216_); trivial. % 1.32/1.50 (* end of lemma zenon_L1236_ *) % 1.32/1.50 assert (zenon_L1237_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2219)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (~(c1_1 (a2219))) -> (ndr1_0) -> (~(c2_1 (a2193))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_Hbb zenon_Hd6 zenon_Hb9 zenon_Ha zenon_H1d7 zenon_H29 zenon_H1d6 zenon_H1d8. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H171 | zenon_intro zenon_H194 ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18e | zenon_intro zenon_Ha7 ]. % 1.32/1.50 apply (zenon_L335_); trivial. % 1.32/1.50 apply (zenon_L200_); trivial. % 1.32/1.50 (* end of lemma zenon_L1237_ *) % 1.32/1.50 assert (zenon_L1238_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> (~(c2_1 (a2194))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (~(c2_1 (a2193))) -> (~(c1_1 (a2193))) -> (c3_1 (a2193)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c0_1 (a2182))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hc9 zenon_H183 zenon_H50 zenon_H52 zenon_H5a zenon_H1d zenon_H122 zenon_H335 zenon_H336 zenon_H337 zenon_H193 zenon_H1d7 zenon_H1d6 zenon_H1d8 zenon_He7 zenon_H320 zenon_H31f zenon_H31e zenon_H26b zenon_H26c zenon_H26d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.50 apply (zenon_L1237_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_L1104_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_L225_); trivial. % 1.32/1.50 (* end of lemma zenon_L1238_ *) % 1.32/1.50 assert (zenon_L1239_ : ((ndr1_0)/\((c2_1 (a2185))/\((~(c0_1 (a2185)))/\(~(c1_1 (a2185)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> (c2_1 (a2179)) -> (c0_1 (a2179)) -> (~(c3_1 (a2179))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H15a zenon_H159 zenon_Hf4 zenon_H110 zenon_H122 zenon_He7 zenon_H16d zenon_H298 zenon_H297 zenon_H296 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_H31e zenon_H31f zenon_H320 zenon_H193 zenon_Hf3 zenon_H12b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L1235_); trivial. % 1.32/1.50 apply (zenon_L1140_); trivial. % 1.32/1.50 (* end of lemma zenon_L1239_ *) % 1.32/1.50 assert (zenon_L1240_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H214 zenon_Hec zenon_H2ff zenon_H1 zenon_H301 zenon_H303 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_L1062_); trivial. % 1.32/1.50 apply (zenon_L1157_); trivial. % 1.32/1.50 (* end of lemma zenon_L1240_ *) % 1.32/1.50 assert (zenon_L1241_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp25)\/(hskp22))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H217 zenon_Hec zenon_H2ff zenon_H1 zenon_H301 zenon_H303 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H335 zenon_H336 zenon_H337 zenon_H2cf zenon_H205 zenon_H61 zenon_H209. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.50 apply (zenon_L156_); trivial. % 1.32/1.50 apply (zenon_L1240_); trivial. % 1.32/1.50 (* end of lemma zenon_L1241_ *) % 1.32/1.50 assert (zenon_L1242_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H4f zenon_H50 zenon_H52. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H15f | zenon_intro zenon_H300 ]. % 1.32/1.50 apply (zenon_L441_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H90 ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_L403_); trivial. % 1.32/1.50 (* end of lemma zenon_L1242_ *) % 1.32/1.50 assert (zenon_L1243_ : ((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a2194))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hc9 zenon_He7 zenon_H5a zenon_H31e zenon_H31f zenon_H320 zenon_H193 zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_H50 zenon_H52. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.50 apply (zenon_L1220_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_L1242_); trivial. % 1.32/1.50 (* end of lemma zenon_L1243_ *) % 1.32/1.50 assert (zenon_L1244_ : ((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2211))) -> (~(c2_1 (a2211))) -> (~(c3_1 (a2211))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H214 zenon_Hec zenon_H1c5 zenon_H1f9 zenon_H10c zenon_H1c1 zenon_H1be zenon_H5a zenon_H50 zenon_H52 zenon_Hac zenon_H305 zenon_H306 zenon_H307 zenon_H30e zenon_H335 zenon_H336 zenon_H337 zenon_H2cf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_L1062_); trivial. % 1.32/1.50 apply (zenon_L657_); trivial. % 1.32/1.50 (* end of lemma zenon_L1244_ *) % 1.32/1.50 assert (zenon_L1245_ : ((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H42 zenon_H318 zenon_H1c5 zenon_H1f9 zenon_H10c zenon_H1c1 zenon_H1be zenon_Hac zenon_H30e zenon_Hed zenon_He7 zenon_H31e zenon_H31f zenon_H320 zenon_H5a zenon_H50 zenon_H52 zenon_H193 zenon_H209 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H303 zenon_H1 zenon_H2ff zenon_Hec zenon_H217 zenon_H218 zenon_H1d0 zenon_H22f zenon_H22e zenon_Hca zenon_H235. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L1241_); trivial. % 1.32/1.50 apply (zenon_L1243_); trivial. % 1.32/1.50 apply (zenon_L167_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.50 apply (zenon_L156_); trivial. % 1.32/1.50 apply (zenon_L1244_); trivial. % 1.32/1.50 apply (zenon_L1243_); trivial. % 1.32/1.50 apply (zenon_L167_); trivial. % 1.32/1.50 (* end of lemma zenon_L1245_ *) % 1.32/1.50 assert (zenon_L1246_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> (~(c2_1 (a2194))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(hskp13)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> (~(hskp3)) -> (~(hskp16)) -> ((hskp17)\/((hskp3)\/(hskp16))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H46 zenon_H318 zenon_H1c5 zenon_H1f9 zenon_H10c zenon_H1c1 zenon_H1be zenon_Hac zenon_H30e zenon_Hed zenon_He7 zenon_H31e zenon_H31f zenon_H320 zenon_H5a zenon_H50 zenon_H52 zenon_H193 zenon_H209 zenon_H2cf zenon_H337 zenon_H336 zenon_H335 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H303 zenon_H1 zenon_H2ff zenon_Hec zenon_H217 zenon_H218 zenon_H1d0 zenon_H22f zenon_H22e zenon_Hca zenon_H235 zenon_H1b zenon_H1d zenon_H1f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L12_); trivial. % 1.32/1.50 apply (zenon_L1245_); trivial. % 1.32/1.50 (* end of lemma zenon_L1246_ *) % 1.32/1.50 assert (zenon_L1247_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2262)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a2262))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (c2_1 (a2178)) -> (c3_1 (a2178)) -> (c0_1 (a2178)) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hac zenon_H7b zenon_H7a zenon_H79 zenon_H52 zenon_H50 zenon_H5a zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H78 | zenon_intro zenon_Haf ]. % 1.32/1.50 apply (zenon_L35_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H91 ]. % 1.32/1.50 apply (zenon_L41_); trivial. % 1.32/1.50 apply (zenon_L1165_); trivial. % 1.32/1.50 (* end of lemma zenon_L1247_ *) % 1.32/1.50 assert (zenon_L1248_ : ((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2262)) -> (~(c0_1 (a2262))) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> (~(c2_1 (a2194))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hab zenon_H183 zenon_H2c zenon_H2b zenon_H2a zenon_H320 zenon_H31f zenon_H31e zenon_Hac zenon_H7b zenon_H79 zenon_H52 zenon_H50 zenon_H5a zenon_H2ff zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H337 zenon_H336 zenon_H335. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.50 apply (zenon_L17_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_L1247_); trivial. % 1.32/1.50 (* end of lemma zenon_L1248_ *) % 1.32/1.50 assert (zenon_L1249_ : ((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (~(c2_1 (a2248))) -> (~(c1_1 (a2248))) -> (~(c0_1 (a2248))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a2194)) -> (c0_1 (a2194)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hc2 zenon_Hec zenon_H183 zenon_H5a zenon_Hac zenon_H320 zenon_H31f zenon_H31e zenon_H2c zenon_H2b zenon_H2a zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H335 zenon_H336 zenon_H337 zenon_H71 zenon_H61 zenon_H52 zenon_H50 zenon_H2ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_L1156_); trivial. % 1.32/1.50 apply (zenon_L1248_); trivial. % 1.32/1.50 (* end of lemma zenon_L1249_ *) % 1.32/1.50 assert (zenon_L1250_ : ((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a2248)))/\((~(c1_1 (a2248)))/\(~(c2_1 (a2248))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2194)) -> (c3_1 (a2194)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a2194))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp8)\/((hskp4)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hea zenon_H46 zenon_H110 zenon_H43 zenon_Hca zenon_H183 zenon_H320 zenon_H31f zenon_H31e zenon_H197 zenon_H2ff zenon_H50 zenon_H52 zenon_H71 zenon_H337 zenon_H336 zenon_H335 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1d2 zenon_H1d0 zenon_H5a zenon_Hac zenon_Hec zenon_H1a5 zenon_H21 zenon_H23 zenon_H27 zenon_H193 zenon_He7 zenon_Hed. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.50 apply (zenon_L16_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_L1177_); trivial. % 1.32/1.50 apply (zenon_L1249_); trivial. % 1.32/1.50 apply (zenon_L1243_); trivial. % 1.32/1.50 apply (zenon_L1153_); trivial. % 1.32/1.50 (* end of lemma zenon_L1250_ *) % 1.32/1.50 assert (zenon_L1251_ : ((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> (~(c0_1 (a2174))) -> (c1_1 (a2174)) -> (c2_1 (a2174)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H156 zenon_H12b zenon_H2fb zenon_H127 zenon_Hc4 zenon_Heb zenon_Hf3 zenon_H1f zenon_H1b zenon_H235 zenon_Hca zenon_H22e zenon_H22f zenon_H218 zenon_H217 zenon_Hec zenon_H2ff zenon_H303 zenon_H2cf zenon_H209 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_He7 zenon_Hed zenon_H30e zenon_Hac zenon_H1c1 zenon_H1f9 zenon_H1c5 zenon_H318 zenon_H46 zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H335 zenon_H336 zenon_H337 zenon_H110 zenon_Hf4 zenon_H16f zenon_H155 zenon_H122 zenon_H201 zenon_H1d2 zenon_H1f7 zenon_H204. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1182_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1246_); trivial. % 1.32/1.50 apply (zenon_L1081_); trivial. % 1.32/1.50 apply (zenon_L1169_); trivial. % 1.32/1.50 apply (zenon_L1085_); trivial. % 1.32/1.50 apply (zenon_L1193_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 (* end of lemma zenon_L1251_ *) % 1.32/1.50 assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a2184))/\((c1_1 (a2184))/\(~(c3_1 (a2184)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a2186))/\((~(c0_1 (a2186)))/\(~(c1_1 (a2186))))))) -> ((hskp17)\/((hskp3)\/(hskp16))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a2211)))/\((~(c2_1 (a2211)))/\(~(c3_1 (a2211))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp11))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(c3_1 X36)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X109 : zenon_U, ((ndr1_0)->((~(c0_1 X109))\/((~(c1_1 X109))\/(~(c2_1 X109))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2188))/\((c1_1 (a2188))/\(c2_1 (a2188)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp13)\/(hskp19))) -> (~(c0_1 (a2176))) -> (~(c3_1 (a2176))) -> (c1_1 (a2176)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp27)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2219))/\((~(c1_1 (a2219)))/\(~(c3_1 (a2219))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c2_1 X70))))))\/((hskp11)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c1_1 X47))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c0_1 X34))\/(~(c1_1 X34))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2216))/\((~(c2_1 (a2216)))/\(~(c3_1 (a2216))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((c3_1 X45)\/(~(c0_1 X45)))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2265))/\((c3_1 (a2265))/\(~(c2_1 (a2265))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((hskp21)\/((hskp25)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((~(c0_1 X8))\/(~(c2_1 X8))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2187))/\((c2_1 (a2187))/\(~(c1_1 (a2187))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H2ef zenon_H159 zenon_H1f zenon_H204 zenon_H1f7 zenon_H201 zenon_H122 zenon_H23e zenon_H155 zenon_H110 zenon_H16f zenon_Hf4 zenon_H2fb zenon_H1b zenon_H337 zenon_H336 zenon_H335 zenon_Heb zenon_H318 zenon_H1a5 zenon_Hac zenon_H1d2 zenon_H1f9 zenon_H197 zenon_H30e zenon_H1c1 zenon_He0 zenon_H1c5 zenon_Hca zenon_Hec zenon_H303 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H71 zenon_H2ff zenon_H18b zenon_Hed zenon_H16d zenon_H1ae zenon_H235 zenon_H22e zenon_H22f zenon_H218 zenon_H217 zenon_H2cf zenon_H209 zenon_H193 zenon_H320 zenon_H31f zenon_H31e zenon_He7 zenon_H46 zenon_Hf3 zenon_H1b2 zenon_Hc4 zenon_H127 zenon_H12b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L1191_); trivial. % 1.32/1.50 apply (zenon_L1245_); trivial. % 1.32/1.50 apply (zenon_L1169_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L1059_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1073_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.50 apply (zenon_L1072_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L1203_); trivial. % 1.32/1.50 apply (zenon_L1243_); trivial. % 1.32/1.50 apply (zenon_L1153_); trivial. % 1.32/1.50 apply (zenon_L1169_); trivial. % 1.32/1.50 apply (zenon_L1193_); trivial. % 1.32/1.50 apply (zenon_L1226_); trivial. % 1.32/1.50 apply (zenon_L1251_); trivial. % 1.32/1.50 (* end of lemma zenon_L1252_ *) % 1.32/1.50 assert (zenon_L1253_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(hskp13)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H201 zenon_Hf3 zenon_H2cf zenon_H122 zenon_Hec zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H110 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_Hac zenon_H16f zenon_H46 zenon_Hf4 zenon_H218 zenon_H1 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L981_); trivial. % 1.32/1.50 apply (zenon_L1169_); trivial. % 1.32/1.50 (* end of lemma zenon_L1253_ *) % 1.32/1.50 assert (zenon_L1254_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> (c2_1 (a2196)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X113 : zenon_U, ((ndr1_0)->((c3_1 X113)\/((~(c1_1 X113))\/(~(c2_1 X113))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a2196)) -> (c3_1 (a2196)) -> False). % 1.32/1.50 do 0 intro. intros zenon_He7 zenon_H17f zenon_H14a zenon_H31f zenon_H31e zenon_H320 zenon_H181 zenon_H337 zenon_H336 zenon_H335 zenon_Ha zenon_H2e0 zenon_H149 zenon_H14b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H175 | zenon_intro zenon_H182 ]. % 1.32/1.50 apply (zenon_L1013_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H180 ]. % 1.32/1.50 apply (zenon_L854_); trivial. % 1.32/1.50 exact (zenon_H17f zenon_H180). % 1.32/1.50 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H4f ]. % 1.32/1.50 apply (zenon_L1058_); trivial. % 1.32/1.50 apply (zenon_L1047_); trivial. % 1.32/1.50 (* end of lemma zenon_L1254_ *) % 1.32/1.50 assert (zenon_L1255_ : ((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> (~(c3_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c0_1 (a2177))) -> (c2_1 (a2175)) -> (~(c3_1 (a2175))) -> (~(c0_1 (a2175))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> (~(hskp12)) -> False). % 1.32/1.50 do 0 intro. intros zenon_H1a2 zenon_H2ea zenon_H2bc zenon_H2bb zenon_H2ba zenon_H320 zenon_H31f zenon_H31e zenon_H2cd zenon_H26c zenon_H26d zenon_H26b zenon_H1be. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.50 apply (zenon_L331_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.50 apply (zenon_L884_); trivial. % 1.32/1.50 apply (zenon_L860_); trivial. % 1.32/1.50 (* end of lemma zenon_L1255_ *) % 1.32/1.50 assert (zenon_L1256_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2182)) -> (c3_1 (a2182)) -> (~(c0_1 (a2182))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_Hca zenon_H197 zenon_H19 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2cd zenon_H1be zenon_H26c zenon_H26d zenon_H26b zenon_H2ea zenon_H1a5. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.50 apply (zenon_L118_); trivial. % 1.32/1.50 apply (zenon_L1255_); trivial. % 1.32/1.50 apply (zenon_L976_); trivial. % 1.32/1.50 (* end of lemma zenon_L1256_ *) % 1.32/1.50 assert (zenon_L1257_ : ((ndr1_0)/\((c2_1 (a2182))/\((c3_1 (a2182))/\(~(c0_1 (a2182)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2189))/\((~(c2_1 (a2189)))/\(~(c3_1 (a2189))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((c3_1 Z)\/(~(c1_1 Z))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a2193))/\((~(c1_1 (a2193)))/\(~(c2_1 (a2193))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2194))/\((c3_1 (a2194))/\(~(c2_1 (a2194))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c2_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp27))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c0_1 X69))))))\/(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2178))/\((c2_1 (a2178))/\(c3_1 (a2178)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp15)\/(hskp16))) -> (c1_1 (a2176)) -> (~(c3_1 (a2176))) -> (~(c0_1 (a2176))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2196))/\((c2_1 (a2196))/\(c3_1 (a2196)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c1_1 X23)\/(~(c3_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(c3_1 X7))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2174)) -> (c1_1 (a2174)) -> (~(c0_1 (a2174))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp29)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2197))/\((c3_1 (a2197))/\(~(c1_1 (a2197))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c1_1 (a2195)))/\((~(c2_1 (a2195)))/\(~(c3_1 (a2195))))))) -> ((hskp13)\/((hskp24)\/(hskp14))) -> (~(c0_1 (a2177))) -> (~(c1_1 (a2177))) -> (~(c3_1 (a2177))) -> (~(c0_1 (a2175))) -> (~(c3_1 (a2175))) -> (c2_1 (a2175)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(c3_1 X3)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2262))/\((c3_1 (a2262))/\(~(c0_1 (a2262))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a2198))/\((~(c1_1 (a2198)))/\(~(c2_1 (a2198))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c1_1 X62)\/((c3_1 X62)\/(~(c0_1 X62))))))\/(hskp18))) -> ((hskp24)\/((hskp26)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a2268))/\((~(c0_1 (a2268)))/\(~(c2_1 (a2268))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a2191))/\((~(c1_1 (a2191)))/\(~(c3_1 (a2191))))))) -> False). % 1.32/1.50 do 0 intro. intros zenon_H331 zenon_H204 zenon_H1f7 zenon_H1d2 zenon_H201 zenon_Hf3 zenon_H2cf zenon_H122 zenon_Hec zenon_H23e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H155 zenon_H110 zenon_H2ff zenon_H337 zenon_H336 zenon_H335 zenon_Hac zenon_H16f zenon_H46 zenon_Hf4 zenon_H218 zenon_H2ba zenon_H2bb zenon_H2bc zenon_H31e zenon_H31f zenon_H320 zenon_H2ea zenon_Hca zenon_Heb zenon_Hc4 zenon_H197 zenon_H2cd zenon_H1a5 zenon_H127. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L1253_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L1073_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L1256_); trivial. % 1.32/1.50 apply (zenon_L1153_); trivial. % 1.32/1.50 apply (zenon_L1193_); trivial. % 1.32/1.50 (* end of lemma zenon_L1257_ *) % 1.32/1.50 apply NNPP. intro zenon_G. % 1.32/1.50 apply zenon_G. zenon_intro zenon_H33e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H342. zenon_intro zenon_H341. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H344. zenon_intro zenon_H343. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H332. zenon_intro zenon_H34f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H15d. zenon_intro zenon_H350. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H159. zenon_intro zenon_H351. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H12b. zenon_intro zenon_H352. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H204. zenon_intro zenon_H353. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H127. zenon_intro zenon_H354. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H201. zenon_intro zenon_H355. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Hf3. zenon_intro zenon_H356. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hf4. zenon_intro zenon_H357. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H46. zenon_intro zenon_H358. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Heb. zenon_intro zenon_H359. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H318. zenon_intro zenon_H35a. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H25e. zenon_intro zenon_H35b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H235. zenon_intro zenon_H35c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_Hed. zenon_intro zenon_H35d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H43. zenon_intro zenon_H35e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_Hca. zenon_intro zenon_H35f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H217. zenon_intro zenon_H360. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H1a5. zenon_intro zenon_H361. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_Hec. zenon_intro zenon_H362. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H1c5. zenon_intro zenon_H363. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H155. zenon_intro zenon_H364. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H75. zenon_intro zenon_H365. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H183. zenon_intro zenon_H366. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H290. zenon_intro zenon_H367. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H3e. zenon_intro zenon_H368. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2ea. zenon_intro zenon_H369. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H2c7. zenon_intro zenon_H36a. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2cb. zenon_intro zenon_H36b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H2c3. zenon_intro zenon_H36c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_He6. zenon_intro zenon_H36d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_He7. zenon_intro zenon_H36e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H21a. zenon_intro zenon_H36f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H276. zenon_intro zenon_H370. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H139. zenon_intro zenon_H371. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H1f7. zenon_intro zenon_H372. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a1. zenon_intro zenon_H373. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H110. zenon_intro zenon_H374. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H10a. zenon_intro zenon_H375. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H29f. zenon_intro zenon_H376. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1f9. zenon_intro zenon_H379. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H30e. zenon_intro zenon_H37a. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2cd. zenon_intro zenon_H37b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_Hc3. zenon_intro zenon_H37c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H22e. zenon_intro zenon_H37d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H1f8. zenon_intro zenon_H37e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_Hac. zenon_intro zenon_H37f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H2ff. zenon_intro zenon_H380. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1d2. zenon_intro zenon_H381. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H23e. zenon_intro zenon_H382. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H16f. zenon_intro zenon_H383. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H193. zenon_intro zenon_H384. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_Hc4. zenon_intro zenon_H385. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2d1. zenon_intro zenon_H386. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2cf. zenon_intro zenon_H387. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H2fb. zenon_intro zenon_H388. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_He0. zenon_intro zenon_H389. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H274. zenon_intro zenon_H38a. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H22f. zenon_intro zenon_H38b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H2de. zenon_intro zenon_H38c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_Ha5. zenon_intro zenon_H38d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H1b2. zenon_intro zenon_H38e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Ha3. zenon_intro zenon_H38f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H18a. zenon_intro zenon_H390. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H76. zenon_intro zenon_H391. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H122. zenon_intro zenon_H392. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H396. zenon_intro zenon_H395. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H17. zenon_intro zenon_H397. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H18b. zenon_intro zenon_H398. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H21c. zenon_intro zenon_H399. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H294. zenon_intro zenon_H39a. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H39c. zenon_intro zenon_H39b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H11e. zenon_intro zenon_H39d. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H39f. zenon_intro zenon_H39e. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H250. zenon_intro zenon_H3a0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H3a2. zenon_intro zenon_H3a1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H1ae. zenon_intro zenon_H3a3. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H1c1. zenon_intro zenon_H3a4. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H1d4. zenon_intro zenon_H3a5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H147. zenon_intro zenon_H3a6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_H16d. zenon_intro zenon_H3a7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_H181. zenon_intro zenon_H3a8. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H185. zenon_intro zenon_H3a9. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_H71. zenon_intro zenon_H3aa. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H10e. zenon_intro zenon_H3ab. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H108. zenon_intro zenon_H3ac. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H303. zenon_intro zenon_H3ad. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H27. zenon_intro zenon_H3ae. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H3b0. zenon_intro zenon_H3af. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H3b2. zenon_intro zenon_H3b1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H3b4. zenon_intro zenon_H3b3. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H7. zenon_intro zenon_H3b5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H218. zenon_intro zenon_H3b6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H209. zenon_intro zenon_H3b7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H197. zenon_intro zenon_H3b8. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H4d. zenon_intro zenon_H1f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H3 | zenon_intro zenon_H3b9 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H65 | zenon_intro zenon_H3ba ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H49 | zenon_intro zenon_H3bb ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L4_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_L59_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_L79_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_L83_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_L96_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_L116_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L115_); trivial. % 1.32/1.50 apply (zenon_L126_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_L94_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L153_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L173_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L179_); trivial. % 1.32/1.50 apply (zenon_L196_); trivial. % 1.32/1.50 apply (zenon_L205_); trivial. % 1.32/1.50 apply (zenon_L209_); trivial. % 1.32/1.50 apply (zenon_L216_); trivial. % 1.32/1.50 apply (zenon_L221_); trivial. % 1.32/1.50 apply (zenon_L224_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L227_); trivial. % 1.32/1.50 apply (zenon_L93_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L227_); trivial. % 1.32/1.50 apply (zenon_L126_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_L94_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L153_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L230_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L231_); trivial. % 1.32/1.50 apply (zenon_L196_); trivial. % 1.32/1.50 apply (zenon_L205_); trivial. % 1.32/1.50 apply (zenon_L222_); trivial. % 1.32/1.50 apply (zenon_L241_); trivial. % 1.32/1.50 apply (zenon_L224_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L252_); trivial. % 1.32/1.50 apply (zenon_L93_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L252_); trivial. % 1.32/1.50 apply (zenon_L275_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_L94_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_L139_); trivial. % 1.32/1.50 apply (zenon_L280_); trivial. % 1.32/1.50 apply (zenon_L288_); trivial. % 1.32/1.50 apply (zenon_L275_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_L292_); trivial. % 1.32/1.50 apply (zenon_L93_); trivial. % 1.32/1.50 apply (zenon_L95_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_L296_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L293_); trivial. % 1.32/1.50 apply (zenon_L93_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L293_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L173_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L301_); trivial. % 1.32/1.50 apply (zenon_L205_); trivial. % 1.32/1.50 apply (zenon_L302_); trivial. % 1.32/1.50 apply (zenon_L216_); trivial. % 1.32/1.50 apply (zenon_L221_); trivial. % 1.32/1.50 apply (zenon_L224_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L293_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L305_); trivial. % 1.32/1.50 apply (zenon_L308_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L293_); trivial. % 1.32/1.50 apply (zenon_L320_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L293_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L173_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_L231_); trivial. % 1.32/1.50 apply (zenon_L323_); trivial. % 1.32/1.50 apply (zenon_L205_); trivial. % 1.32/1.50 apply (zenon_L307_); trivial. % 1.32/1.50 apply (zenon_L216_); trivial. % 1.32/1.50 apply (zenon_L329_); trivial. % 1.32/1.50 apply (zenon_L224_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L4_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L8_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L282_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L265_); trivial. % 1.32/1.50 apply (zenon_L48_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L265_); trivial. % 1.32/1.50 apply (zenon_L57_); trivial. % 1.32/1.50 apply (zenon_L330_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_L288_); trivial. % 1.32/1.50 apply (zenon_L275_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L4_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L8_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L334_); trivial. % 1.32/1.50 apply (zenon_L338_); trivial. % 1.32/1.50 apply (zenon_L356_); trivial. % 1.32/1.50 apply (zenon_L95_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L360_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.50 apply (zenon_L16_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H29 | zenon_intro zenon_H41 ]. % 1.32/1.50 apply (zenon_L17_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H33 | zenon_intro zenon_H4 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H21b ]. % 1.32/1.50 apply (zenon_L361_); trivial. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H60 ]. % 1.32/1.50 apply (zenon_L236_); trivial. % 1.32/1.50 exact (zenon_H5f zenon_H60). % 1.32/1.50 exact (zenon_H3 zenon_H4). % 1.32/1.50 apply (zenon_L332_); trivial. % 1.32/1.50 apply (zenon_L365_); trivial. % 1.32/1.50 apply (zenon_L283_); trivial. % 1.32/1.50 apply (zenon_L366_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L360_); trivial. % 1.32/1.50 apply (zenon_L337_); trivial. % 1.32/1.50 apply (zenon_L368_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_L371_); trivial. % 1.32/1.50 apply (zenon_L365_); trivial. % 1.32/1.50 apply (zenon_L283_); trivial. % 1.32/1.50 apply (zenon_L20_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_L371_); trivial. % 1.32/1.50 apply (zenon_L376_); trivial. % 1.32/1.50 apply (zenon_L380_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_L388_); trivial. % 1.32/1.50 apply (zenon_L380_); trivial. % 1.32/1.50 apply (zenon_L393_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L394_); trivial. % 1.32/1.50 apply (zenon_L347_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L75_); trivial. % 1.32/1.50 apply (zenon_L347_); trivial. % 1.32/1.50 apply (zenon_L395_); trivial. % 1.32/1.50 apply (zenon_L355_); trivial. % 1.32/1.50 apply (zenon_L95_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L401_); trivial. % 1.32/1.50 apply (zenon_L410_); trivial. % 1.32/1.50 apply (zenon_L412_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L107_); trivial. % 1.32/1.50 apply (zenon_L423_); trivial. % 1.32/1.50 apply (zenon_L295_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L424_); trivial. % 1.32/1.50 apply (zenon_L427_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L226_); trivial. % 1.32/1.50 apply (zenon_L423_); trivial. % 1.32/1.50 apply (zenon_L429_); trivial. % 1.32/1.50 apply (zenon_L412_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L424_); trivial. % 1.32/1.50 apply (zenon_L410_); trivial. % 1.32/1.50 apply (zenon_L412_); trivial. % 1.32/1.50 apply (zenon_L431_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_L393_); trivial. % 1.32/1.50 apply (zenon_L356_); trivial. % 1.32/1.50 apply (zenon_L95_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L434_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L230_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L394_); trivial. % 1.32/1.50 apply (zenon_L328_); trivial. % 1.32/1.50 apply (zenon_L307_); trivial. % 1.32/1.50 apply (zenon_L216_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_L230_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L327_); trivial. % 1.32/1.50 apply (zenon_L347_); trivial. % 1.32/1.50 apply (zenon_L308_); trivial. % 1.32/1.50 apply (zenon_L433_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_L290_); trivial. % 1.32/1.50 apply (zenon_L423_); trivial. % 1.32/1.50 apply (zenon_L295_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L438_); trivial. % 1.32/1.50 apply (zenon_L427_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_L434_); trivial. % 1.32/1.50 apply (zenon_L429_); trivial. % 1.32/1.50 apply (zenon_L412_); trivial. % 1.32/1.50 apply (zenon_L440_); trivial. % 1.32/1.50 apply (zenon_L431_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_Ha. zenon_intro zenon_H3c5. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H2f4. zenon_intro zenon_H3c6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H2f2. zenon_intro zenon_H2f3. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L444_); trivial. % 1.32/1.50 apply (zenon_L446_); trivial. % 1.32/1.50 apply (zenon_L450_); trivial. % 1.32/1.50 apply (zenon_L20_); trivial. % 1.32/1.50 apply (zenon_L464_); trivial. % 1.32/1.50 apply (zenon_L476_); trivial. % 1.32/1.50 apply (zenon_L485_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L491_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.50 apply (zenon_L499_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_L501_); trivial. % 1.32/1.50 apply (zenon_L509_); trivial. % 1.32/1.50 apply (zenon_L517_); trivial. % 1.32/1.50 apply (zenon_L518_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.50 apply (zenon_L491_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.50 apply (zenon_L274_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.50 apply (zenon_L539_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.50 apply (zenon_L544_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.50 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.50 apply (zenon_L530_); trivial. % 1.32/1.50 apply (zenon_L543_); trivial. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.50 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L544_); trivial. % 1.32/1.51 apply (zenon_L547_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L548_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_L499_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L501_); trivial. % 1.32/1.51 apply (zenon_L549_); trivial. % 1.32/1.51 apply (zenon_L550_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_L564_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L571_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L491_); trivial. % 1.32/1.51 apply (zenon_L570_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L600_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_L599_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L615_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L617_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L607_); trivial. % 1.32/1.51 apply (zenon_L550_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_L618_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L622_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L625_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L598_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L566_); trivial. % 1.32/1.51 apply (zenon_L204_); trivial. % 1.32/1.51 apply (zenon_L628_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L630_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L601_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L598_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L402_); trivial. % 1.32/1.51 apply (zenon_L611_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L624_); trivial. % 1.32/1.51 apply (zenon_L613_); trivial. % 1.32/1.51 apply (zenon_L204_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L107_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L632_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L637_); trivial. % 1.32/1.51 apply (zenon_L518_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L491_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L642_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_L644_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L544_); trivial. % 1.32/1.51 apply (zenon_L643_); trivial. % 1.32/1.51 apply (zenon_L631_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L548_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L637_); trivial. % 1.32/1.51 apply (zenon_L550_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L560_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L642_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L645_); trivial. % 1.32/1.51 apply (zenon_L643_); trivial. % 1.32/1.51 apply (zenon_L631_); trivial. % 1.32/1.51 apply (zenon_L295_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L661_); trivial. % 1.32/1.51 apply (zenon_L599_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_L152_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L615_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L667_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_L669_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L622_); trivial. % 1.32/1.51 apply (zenon_L671_); trivial. % 1.32/1.51 apply (zenon_L628_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L630_); trivial. % 1.32/1.51 apply (zenon_L671_); trivial. % 1.32/1.51 apply (zenon_L674_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L678_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L679_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L683_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_L687_); trivial. % 1.32/1.51 apply (zenon_L691_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L226_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L491_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L701_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L491_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L274_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L526_); trivial. % 1.32/1.51 apply (zenon_L704_); trivial. % 1.32/1.51 apply (zenon_L538_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L706_); trivial. % 1.32/1.51 apply (zenon_L704_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Ha. zenon_intro zenon_H316. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H305. zenon_intro zenon_H317. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H306. zenon_intro zenon_H307. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L706_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L546_); trivial. % 1.32/1.51 apply (zenon_L703_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L548_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L701_); trivial. % 1.32/1.51 apply (zenon_L550_); trivial. % 1.32/1.51 apply (zenon_L558_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L560_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L274_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L645_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H25 | zenon_intro zenon_H3d ]. % 1.32/1.51 apply (zenon_L16_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Ha. zenon_intro zenon_H3f. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2a. zenon_intro zenon_H40. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H2b. zenon_intro zenon_H2c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_L709_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L460_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L201_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.32/1.51 apply (zenon_L17_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.32/1.51 apply (zenon_L561_); trivial. % 1.32/1.51 apply (zenon_L710_); trivial. % 1.32/1.51 apply (zenon_L711_); trivial. % 1.32/1.51 apply (zenon_L703_); trivial. % 1.32/1.51 apply (zenon_L483_); trivial. % 1.32/1.51 apply (zenon_L714_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L724_); trivial. % 1.32/1.51 apply (zenon_L727_); trivial. % 1.32/1.51 apply (zenon_L732_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L678_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L679_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L734_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L675_); trivial. % 1.32/1.51 apply (zenon_L735_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L739_); trivial. % 1.32/1.51 apply (zenon_L557_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L560_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L274_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L675_); trivial. % 1.32/1.51 apply (zenon_L741_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L689_); trivial. % 1.32/1.51 apply (zenon_L241_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L746_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L758_); trivial. % 1.32/1.51 apply (zenon_L759_); trivial. % 1.32/1.51 apply (zenon_L776_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L778_); trivial. % 1.32/1.51 apply (zenon_L781_); trivial. % 1.32/1.51 apply (zenon_L628_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_L776_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L783_); trivial. % 1.32/1.51 apply (zenon_L759_); trivial. % 1.32/1.51 apply (zenon_L776_); trivial. % 1.32/1.51 apply (zenon_L787_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L788_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L795_); trivial. % 1.32/1.51 apply (zenon_L518_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L799_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L274_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H301 | zenon_intro zenon_H315 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L526_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L805_); trivial. % 1.32/1.51 apply (zenon_L525_); trivial. % 1.32/1.51 apply (zenon_L538_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L807_); trivial. % 1.32/1.51 apply (zenon_L809_); trivial. % 1.32/1.51 apply (zenon_L810_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L814_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L795_); trivial. % 1.32/1.51 apply (zenon_L550_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L274_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L556_); trivial. % 1.32/1.51 apply (zenon_L810_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L560_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L638_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L270_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L197_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.32/1.51 apply (zenon_L271_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.32/1.51 apply (zenon_L561_); trivial. % 1.32/1.51 apply (zenon_L272_); trivial. % 1.32/1.51 apply (zenon_L390_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L526_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.51 apply (zenon_L118_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L405_); trivial. % 1.32/1.51 apply (zenon_L707_); trivial. % 1.32/1.51 apply (zenon_L816_); trivial. % 1.32/1.51 apply (zenon_L525_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L807_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.51 apply (zenon_L118_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L51_); trivial. % 1.32/1.51 apply (zenon_L707_); trivial. % 1.32/1.51 apply (zenon_L816_); trivial. % 1.32/1.51 apply (zenon_L806_); trivial. % 1.32/1.51 apply (zenon_L483_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L622_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L559_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L566_); trivial. % 1.32/1.51 apply (zenon_L820_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L75_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L442_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 1.32/1.51 apply (zenon_L206_); trivial. % 1.32/1.51 apply (zenon_L821_); trivial. % 1.32/1.51 apply (zenon_L822_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.51 apply (zenon_L819_); trivial. % 1.32/1.51 apply (zenon_L474_); trivial. % 1.32/1.51 apply (zenon_L216_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L788_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L75_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c0 ]. % 1.32/1.51 apply (zenon_L823_); trivial. % 1.32/1.51 apply (zenon_L215_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L799_); trivial. % 1.32/1.51 apply (zenon_L824_); trivial. % 1.32/1.51 apply (zenon_L216_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L559_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L444_); trivial. % 1.32/1.51 apply (zenon_L337_); trivial. % 1.32/1.51 apply (zenon_L450_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_L468_); trivial. % 1.32/1.51 apply (zenon_L826_); trivial. % 1.32/1.51 apply (zenon_L828_); trivial. % 1.32/1.51 apply (zenon_L833_); trivial. % 1.32/1.51 apply (zenon_L836_); trivial. % 1.32/1.51 apply (zenon_L846_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L858_); trivial. % 1.32/1.51 apply (zenon_L846_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L864_); trivial. % 1.32/1.51 apply (zenon_L846_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L559_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L744_); trivial. % 1.32/1.51 apply (zenon_L366_); trivial. % 1.32/1.51 apply (zenon_L867_); trivial. % 1.32/1.51 apply (zenon_L870_); trivial. % 1.32/1.51 apply (zenon_L872_); trivial. % 1.32/1.51 apply (zenon_L874_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L559_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L876_); trivial. % 1.32/1.51 apply (zenon_L343_); trivial. % 1.32/1.51 apply (zenon_L620_); trivial. % 1.32/1.51 apply (zenon_L867_); trivial. % 1.32/1.51 apply (zenon_L877_); trivial. % 1.32/1.51 apply (zenon_L835_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_L846_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L879_); trivial. % 1.32/1.51 apply (zenon_L836_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L880_); trivial. % 1.32/1.51 apply (zenon_L857_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L880_); trivial. % 1.32/1.51 apply (zenon_L844_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L880_); trivial. % 1.32/1.51 apply (zenon_L863_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L880_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L843_); trivial. % 1.32/1.51 apply (zenon_L307_); trivial. % 1.32/1.51 apply (zenon_L731_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L881_); trivial. % 1.32/1.51 apply (zenon_L883_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_Ha. zenon_intro zenon_H3c7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H320. zenon_intro zenon_H3c8. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H31e. zenon_intro zenon_H31f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H49 | zenon_intro zenon_H3bb ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L894_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L898_); trivial. % 1.32/1.51 apply (zenon_L91_); trivial. % 1.32/1.51 apply (zenon_L907_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L895_); trivial. % 1.32/1.51 apply (zenon_L911_); trivial. % 1.32/1.51 apply (zenon_L91_); trivial. % 1.32/1.51 apply (zenon_L913_); trivial. % 1.32/1.51 apply (zenon_L320_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L894_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L914_); trivial. % 1.32/1.51 apply (zenon_L921_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L926_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_L921_); trivial. % 1.32/1.51 apply (zenon_L929_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L898_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_L152_); trivial. % 1.32/1.51 apply (zenon_L932_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L782_); trivial. % 1.32/1.51 apply (zenon_L897_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L782_); trivial. % 1.32/1.51 apply (zenon_L151_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L142_); trivial. % 1.32/1.51 apply (zenon_L937_); trivial. % 1.32/1.51 apply (zenon_L907_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L895_); trivial. % 1.32/1.51 apply (zenon_L720_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L142_); trivial. % 1.32/1.51 apply (zenon_L720_); trivial. % 1.32/1.51 apply (zenon_L91_); trivial. % 1.32/1.51 apply (zenon_L938_); trivial. % 1.32/1.51 apply (zenon_L320_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L945_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L142_); trivial. % 1.32/1.51 apply (zenon_L943_); trivial. % 1.32/1.51 apply (zenon_L913_); trivial. % 1.32/1.51 apply (zenon_L952_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L894_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L956_); trivial. % 1.32/1.51 apply (zenon_L961_); trivial. % 1.32/1.51 apply (zenon_L963_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_L961_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L965_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L966_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L964_); trivial. % 1.32/1.51 apply (zenon_L968_); trivial. % 1.32/1.51 apply (zenon_L907_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L902_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L970_); trivial. % 1.32/1.51 apply (zenon_L901_); trivial. % 1.32/1.51 apply (zenon_L167_); trivial. % 1.32/1.51 apply (zenon_L90_); trivial. % 1.32/1.51 apply (zenon_L971_); trivial. % 1.32/1.51 apply (zenon_L91_); trivial. % 1.32/1.51 apply (zenon_L938_); trivial. % 1.32/1.51 apply (zenon_L972_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L944_); trivial. % 1.32/1.51 apply (zenon_L974_); trivial. % 1.32/1.51 apply (zenon_L913_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L946_); trivial. % 1.32/1.51 apply (zenon_L241_); trivial. % 1.32/1.51 apply (zenon_L951_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L907_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L913_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L230_); trivial. % 1.32/1.51 apply (zenon_L975_); trivial. % 1.32/1.51 apply (zenon_L308_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L977_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L984_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L981_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_L985_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_L987_); trivial. % 1.32/1.51 apply (zenon_L983_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L988_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L995_); trivial. % 1.32/1.51 apply (zenon_L987_); trivial. % 1.32/1.51 apply (zenon_L997_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L998_); trivial. % 1.32/1.51 apply (zenon_L731_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L998_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L949_); trivial. % 1.32/1.51 apply (zenon_L1000_); trivial. % 1.32/1.51 apply (zenon_L997_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L981_); trivial. % 1.32/1.51 apply (zenon_L963_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1002_); trivial. % 1.32/1.51 apply (zenon_L20_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L988_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L966_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L981_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L573_); trivial. % 1.32/1.51 apply (zenon_L370_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a2 ]. % 1.32/1.51 apply (zenon_L118_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H19b. zenon_intro zenon_H1a4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H199. zenon_intro zenon_H19a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H29 | zenon_intro zenon_H291 ]. % 1.32/1.51 apply (zenon_L1003_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c6 ]. % 1.32/1.51 apply (zenon_L372_); trivial. % 1.32/1.51 apply (zenon_L454_); trivial. % 1.32/1.51 apply (zenon_L976_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L968_); trivial. % 1.32/1.51 apply (zenon_L983_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L988_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L994_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L8_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1004_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.51 apply (zenon_L156_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2c4 ]. % 1.32/1.51 apply (zenon_L331_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H4a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10b ]. % 1.32/1.51 apply (zenon_L146_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H102 | zenon_intro zenon_H4 ]. % 1.32/1.51 apply (zenon_L157_); trivial. % 1.32/1.51 exact (zenon_H3 zenon_H4). % 1.32/1.51 exact (zenon_H49 zenon_H4a). % 1.32/1.51 apply (zenon_L1007_); trivial. % 1.32/1.51 apply (zenon_L1000_); trivial. % 1.32/1.51 apply (zenon_L997_); trivial. % 1.32/1.51 apply (zenon_L1011_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L983_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L997_); trivial. % 1.32/1.51 apply (zenon_L1012_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_Ha. zenon_intro zenon_H3c5. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H2f4. zenon_intro zenon_H3c6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H2f2. zenon_intro zenon_H2f3. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1019_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L595_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L575_); trivial. % 1.32/1.51 apply (zenon_L1021_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L442_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1023_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L1015_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L1025_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L595_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L575_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L86_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1020_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L225_); trivial. % 1.32/1.51 apply (zenon_L719_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L942_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1023_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L225_); trivial. % 1.32/1.51 apply (zenon_L1026_); trivial. % 1.32/1.51 apply (zenon_L732_); trivial. % 1.32/1.51 apply (zenon_L1032_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1019_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L661_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L575_); trivial. % 1.32/1.51 apply (zenon_L1033_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L442_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1023_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L102_); trivial. % 1.32/1.51 apply (zenon_L1015_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L1034_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_Ha. zenon_intro zenon_H15b. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12e. zenon_intro zenon_H15c. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L676_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L675_); trivial. % 1.32/1.51 apply (zenon_L896_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_L1035_); trivial. % 1.32/1.51 apply (zenon_L1025_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L724_); trivial. % 1.32/1.51 apply (zenon_L1026_); trivial. % 1.32/1.51 apply (zenon_L732_); trivial. % 1.32/1.51 apply (zenon_L1032_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1019_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L1036_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L254_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1037_); trivial. % 1.32/1.51 apply (zenon_L955_); trivial. % 1.32/1.51 apply (zenon_L138_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L86_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1038_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L1015_); trivial. % 1.32/1.51 apply (zenon_L1025_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_L1041_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L909_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L1044_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L942_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_L1038_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L225_); trivial. % 1.32/1.51 apply (zenon_L1026_); trivial. % 1.32/1.51 apply (zenon_L732_); trivial. % 1.32/1.51 apply (zenon_L1032_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L1025_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L1026_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L1045_); trivial. % 1.32/1.51 apply (zenon_L975_); trivial. % 1.32/1.51 apply (zenon_L308_); trivial. % 1.32/1.51 apply (zenon_L629_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1019_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_L1052_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_Ha. zenon_intro zenon_H202. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1c9. zenon_intro zenon_H203. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1c7. zenon_intro zenon_H1c8. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_L477_); trivial. % 1.32/1.51 apply (zenon_L1051_); trivial. % 1.32/1.51 apply (zenon_L1053_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_L1055_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_L1057_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L1056_); trivial. % 1.32/1.51 apply (zenon_L1012_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_Ha. zenon_intro zenon_H3c9. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H336. zenon_intro zenon_H3ca. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H337. zenon_intro zenon_H335. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H65 | zenon_intro zenon_H3ba ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H49 | zenon_intro zenon_H3bb ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1061_); trivial. % 1.32/1.51 apply (zenon_L1071_); trivial. % 1.32/1.51 apply (zenon_L1078_); trivial. % 1.32/1.51 apply (zenon_L1080_); trivial. % 1.32/1.51 apply (zenon_L1086_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L1091_); trivial. % 1.32/1.51 apply (zenon_L1080_); trivial. % 1.32/1.51 apply (zenon_L1086_); trivial. % 1.32/1.51 apply (zenon_L1093_); trivial. % 1.32/1.51 apply (zenon_L1102_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L254_); trivial. % 1.32/1.51 apply (zenon_L1071_); trivial. % 1.32/1.51 apply (zenon_L1078_); trivial. % 1.32/1.51 apply (zenon_L1103_); trivial. % 1.32/1.51 apply (zenon_L1106_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H135 | zenon_intro zenon_H2ec ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H137 | zenon_intro zenon_H3be ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1079_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1114_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_L1063_); trivial. % 1.32/1.51 apply (zenon_L1111_); trivial. % 1.32/1.51 apply (zenon_L1115_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1073_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_L1072_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L1077_); trivial. % 1.32/1.51 apply (zenon_L1113_); trivial. % 1.32/1.51 apply (zenon_L1086_); trivial. % 1.32/1.51 apply (zenon_L95_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_Ha. zenon_intro zenon_H3bf. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H160. zenon_intro zenon_H3c0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H161. zenon_intro zenon_H15e. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1079_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1114_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L1118_); trivial. % 1.32/1.51 apply (zenon_L167_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1079_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L1118_); trivial. % 1.32/1.51 apply (zenon_L1123_); trivial. % 1.32/1.51 apply (zenon_L1126_); trivial. % 1.32/1.51 apply (zenon_L1086_); trivial. % 1.32/1.51 apply (zenon_L1093_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L1129_); trivial. % 1.32/1.51 apply (zenon_L1131_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Ha. zenon_intro zenon_H2ed. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H280. zenon_intro zenon_H2ee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H281. zenon_intro zenon_H27f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1079_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1114_); trivial. % 1.32/1.51 apply (zenon_L1132_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1073_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_L1072_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hcf. zenon_intro zenon_Hf2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hcd. zenon_intro zenon_Hce. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L1133_); trivial. % 1.32/1.51 apply (zenon_L1113_); trivial. % 1.32/1.51 apply (zenon_L1132_); trivial. % 1.32/1.51 apply (zenon_L1103_); trivial. % 1.32/1.51 apply (zenon_L1141_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_L1145_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_Ha. zenon_intro zenon_H233. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H227. zenon_intro zenon_H234. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H225. zenon_intro zenon_H226. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L1068_); trivial. % 1.32/1.51 apply (zenon_L332_); trivial. % 1.32/1.51 apply (zenon_L1144_); trivial. % 1.32/1.51 apply (zenon_L1147_); trivial. % 1.32/1.51 apply (zenon_L1148_); trivial. % 1.32/1.51 apply (zenon_L1149_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_Ha. zenon_intro zenon_H3c5. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H2f4. zenon_intro zenon_H3c6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H2f2. zenon_intro zenon_H2f3. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1184_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L1208_); trivial. % 1.32/1.51 apply (zenon_L1106_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H128. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H113. zenon_intro zenon_H129. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12a. zenon_intro zenon_H112. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1172_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hf0 ]. % 1.32/1.51 apply (zenon_L1171_); trivial. % 1.32/1.51 apply (zenon_L1211_); trivial. % 1.32/1.51 apply (zenon_L1153_); trivial. % 1.32/1.51 apply (zenon_L1169_); trivial. % 1.32/1.51 apply (zenon_L1183_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1155_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L1161_); trivial. % 1.32/1.51 apply (zenon_L366_); trivial. % 1.32/1.51 apply (zenon_L1169_); trivial. % 1.32/1.51 apply (zenon_L1213_); trivial. % 1.32/1.51 apply (zenon_L1214_); trivial. % 1.32/1.51 apply (zenon_L1215_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_L290_); trivial. % 1.32/1.51 apply (zenon_L1214_); trivial. % 1.32/1.51 apply (zenon_L1215_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_Ha. zenon_intro zenon_H3c7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H320. zenon_intro zenon_H3c8. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H31e. zenon_intro zenon_H31f. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H49 | zenon_intro zenon_H3bb ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_L1227_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Ha. zenon_intro zenon_H2f0. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H13d. zenon_intro zenon_H2f1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L1234_); trivial. % 1.32/1.51 apply (zenon_L1106_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L1235_); trivial. % 1.32/1.51 apply (zenon_L893_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H333. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H26c. zenon_intro zenon_H334. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H26d. zenon_intro zenon_H26b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L1235_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Hfb. zenon_intro zenon_H158. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Hf9. zenon_intro zenon_Hfa. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L12_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_L160_); trivial. % 1.32/1.51 apply (zenon_L1219_); trivial. % 1.32/1.51 apply (zenon_L1221_); trivial. % 1.32/1.51 apply (zenon_L1115_); trivial. % 1.32/1.51 apply (zenon_L1081_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1d8. zenon_intro zenon_H1ff. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_L12_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_Ha. zenon_intro zenon_H44. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H35. zenon_intro zenon_H45. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H34. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H205 | zenon_intro zenon_H232 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H61 | zenon_intro zenon_Hc9 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H47 | zenon_intro zenon_Hc2 ]. % 1.32/1.51 apply (zenon_L25_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H207 | zenon_intro zenon_H214 ]. % 1.32/1.51 apply (zenon_L156_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_Ha. zenon_intro zenon_H215. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H20c. zenon_intro zenon_H216. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H5f | zenon_intro zenon_Hab ]. % 1.32/1.51 apply (zenon_L1062_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Had. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H94. zenon_intro zenon_Hae. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H92. zenon_intro zenon_H93. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H29 | zenon_intro zenon_H184 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H78 | zenon_intro zenon_H1fc ]. % 1.32/1.51 apply (zenon_L1217_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H10d ]. % 1.32/1.51 apply (zenon_L1236_); trivial. % 1.32/1.51 exact (zenon_H10c zenon_H10d). % 1.32/1.51 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H171 | zenon_intro zenon_H7a ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L225_); trivial. % 1.32/1.51 apply (zenon_L1238_); trivial. % 1.32/1.51 apply (zenon_L1115_); trivial. % 1.32/1.51 apply (zenon_L1081_); trivial. % 1.32/1.51 apply (zenon_L1085_); trivial. % 1.32/1.51 apply (zenon_L1226_); trivial. % 1.32/1.51 apply (zenon_L1239_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H4b | zenon_intro zenon_H15a ]. % 1.32/1.51 apply (zenon_L977_); trivial. % 1.32/1.51 apply (zenon_L1149_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_Ha. zenon_intro zenon_H3c5. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H2f4. zenon_intro zenon_H3c6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H2f2. zenon_intro zenon_H2f3. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H1b | zenon_intro zenon_H3bc ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H23 | zenon_intro zenon_H3bd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ef ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H10c | zenon_intro zenon_H126 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1be | zenon_intro zenon_H200 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1246_); trivial. % 1.32/1.51 apply (zenon_L1250_); trivial. % 1.32/1.51 apply (zenon_L1169_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1fd ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf5 ]. % 1.32/1.51 apply (zenon_L1059_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H50. zenon_intro zenon_Hf7. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H52. zenon_intro zenon_H5a. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1073_); trivial. % 1.32/1.51 apply (zenon_L1250_); trivial. % 1.32/1.51 apply (zenon_L1169_); trivial. % 1.32/1.51 apply (zenon_L1193_); trivial. % 1.32/1.51 apply (zenon_L1226_); trivial. % 1.32/1.51 apply (zenon_L1252_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_Ha. zenon_intro zenon_H3c1. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H297. zenon_intro zenon_H3c2. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c2). zenon_intro zenon_H298. zenon_intro zenon_H296. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H5 | zenon_intro zenon_H156 ]. % 1.32/1.51 apply (zenon_L1235_); trivial. % 1.32/1.51 apply (zenon_L1251_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha. zenon_intro zenon_H3c3. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H2ba. zenon_intro zenon_H3c4. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H17f | zenon_intro zenon_H331 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H1 | zenon_intro zenon_H123 ]. % 1.32/1.51 apply (zenon_L1253_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_He. zenon_intro zenon_H125. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.51 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hea ]. % 1.32/1.51 apply (zenon_L1073_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H87. zenon_intro zenon_Hef. % 1.32/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H88. zenon_intro zenon_H89. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H42 ]. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H145 | zenon_intro zenon_H152 ]. % 1.32/1.51 apply (zenon_L442_); trivial. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H149. zenon_intro zenon_H154. % 1.32/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2eb ]. % 1.32/1.51 apply (zenon_L331_); trivial. % 1.32/1.51 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H171 | zenon_intro zenon_H2e0 ]. % 1.32/1.51 apply (zenon_L884_); trivial. % 1.32/1.51 apply (zenon_L1254_); trivial. % 1.32/1.51 apply (zenon_L1153_); trivial. % 1.32/1.51 apply (zenon_L1257_); trivial. % 1.32/1.51 Qed. % 1.32/1.51 % SZS output end Proof % 1.32/1.51 (* END-PROOF *) % 1.32/1.51 nodes searched: 50571 % 1.32/1.51 max branch formulas: 510 % 1.32/1.51 proof nodes created: 9408 % 1.32/1.51 formulas created: 45951 % 1.32/1.51 %------------------------------------------------------------------------------