%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN483+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 13:53:25 EDT 2022 % Result : Theorem 0.87s 1.03s % Output : Proof 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN483+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 20:09:39 EDT 2022 % 0.13/0.33 % CPUTime : % 0.87/1.03 (* PROOF-FOUND *) % 0.87/1.03 % SZS status Theorem % 0.87/1.03 (* BEGIN-PROOF *) % 0.87/1.03 % SZS output start Proof % 0.87/1.03 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1852))/\((c3_1 (a1852))/\(~(c2_1 (a1852)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a1853))/\((c3_1 (a1853))/\(~(c0_1 (a1853)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a1854))/\((c2_1 (a1854))/\(~(c3_1 (a1854)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a1855)))/\((~(c1_1 (a1855)))/\(~(c2_1 (a1855)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a1856))/\((c3_1 (a1856))/\(~(c1_1 (a1856)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a1860))/\((~(c0_1 (a1860)))/\(~(c2_1 (a1860)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a1960))/\((c2_1 (a1960))/\(~(c0_1 (a1960)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp3)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp1)\/(hskp9)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33))))))\/(hskp19)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44))))))))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/(hskp9)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))))/\(((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))))/\(((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp17)\/(hskp15)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp26)\/(hskp3)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24)))/\(((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0)))/\(((hskp29)\/((hskp27)\/(hskp1)))/\(((hskp8)\/((hskp17)\/(hskp16)))/\(((hskp8)\/((hskp10)\/(hskp24)))/\(((hskp18)\/((hskp10)\/(hskp15)))/\(((hskp18)\/((hskp22)\/(hskp12)))/\(((hskp18)\/((hskp1)\/(hskp6)))/\(((hskp10)\/((hskp28)\/(hskp0)))/\(((hskp25)\/((hskp6)\/(hskp5)))/\(((hskp25)\/((hskp9)\/(hskp24)))/\((hskp15)\/((hskp4)\/(hskp19))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.87/1.03 Proof. % 0.87/1.03 assert (zenon_L1_ : (~(hskp8)) -> (hskp8) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1 zenon_H2. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 (* end of lemma zenon_L1_ *) % 0.87/1.03 assert (zenon_L2_ : (~(hskp17)) -> (hskp17) -> False). % 0.87/1.03 do 0 intro. intros zenon_H3 zenon_H4. % 0.87/1.03 exact (zenon_H3 zenon_H4). % 0.87/1.03 (* end of lemma zenon_L2_ *) % 0.87/1.03 assert (zenon_L3_ : (~(hskp16)) -> (hskp16) -> False). % 0.87/1.03 do 0 intro. intros zenon_H5 zenon_H6. % 0.87/1.03 exact (zenon_H5 zenon_H6). % 0.87/1.03 (* end of lemma zenon_L3_ *) % 0.87/1.03 assert (zenon_L4_ : ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> (~(hskp17)) -> (~(hskp16)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.87/1.03 exact (zenon_H3 zenon_H4). % 0.87/1.03 exact (zenon_H5 zenon_H6). % 0.87/1.03 (* end of lemma zenon_L4_ *) % 0.87/1.03 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.87/1.03 do 0 intro. intros zenon_H9 zenon_Ha. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 (* end of lemma zenon_L5_ *) % 0.87/1.03 assert (zenon_L6_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.87/1.03 generalize (zenon_Hb (a1874)). zenon_intro zenon_Hf. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.87/1.03 exact (zenon_Hc zenon_H12). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.87/1.03 exact (zenon_H14 zenon_Hd). % 0.87/1.03 exact (zenon_H13 zenon_He). % 0.87/1.03 (* end of lemma zenon_L6_ *) % 0.87/1.03 assert (zenon_L7_ : (~(hskp18)) -> (hskp18) -> False). % 0.87/1.03 do 0 intro. intros zenon_H15 zenon_H16. % 0.87/1.03 exact (zenon_H15 zenon_H16). % 0.87/1.03 (* end of lemma zenon_L7_ *) % 0.87/1.03 assert (zenon_L8_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp18)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1 zenon_H15. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 0.87/1.03 apply (zenon_L6_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H2 | zenon_intro zenon_H16 ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 exact (zenon_H15 zenon_H16). % 0.87/1.03 (* end of lemma zenon_L8_ *) % 0.87/1.03 assert (zenon_L9_ : (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H19 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H1d. % 0.87/1.03 generalize (zenon_H19 (a1875)). zenon_intro zenon_H1e. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.87/1.03 generalize (zenon_H1a (a1875)). zenon_intro zenon_H22. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H23 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.87/1.03 exact (zenon_H25 zenon_H1b). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.87/1.03 exact (zenon_H27 zenon_H1c). % 0.87/1.03 exact (zenon_H26 zenon_H21). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.87/1.03 exact (zenon_H1d zenon_H28). % 0.87/1.03 exact (zenon_H27 zenon_H1c). % 0.87/1.03 (* end of lemma zenon_L9_ *) % 0.87/1.03 assert (zenon_L10_ : (~(hskp0)) -> (hskp0) -> False). % 0.87/1.03 do 0 intro. intros zenon_H29 zenon_H2a. % 0.87/1.03 exact (zenon_H29 zenon_H2a). % 0.87/1.03 (* end of lemma zenon_L10_ *) % 0.87/1.03 assert (zenon_L11_ : (~(hskp24)) -> (hskp24) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2b zenon_H2c. % 0.87/1.03 exact (zenon_H2b zenon_H2c). % 0.87/1.03 (* end of lemma zenon_L11_ *) % 0.87/1.03 assert (zenon_L12_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (~(hskp0)) -> (~(hskp24)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2d zenon_H1d zenon_H1c zenon_H1b zenon_Ha zenon_H19 zenon_H29 zenon_H2b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1a | zenon_intro zenon_H2e ]. % 0.87/1.03 apply (zenon_L9_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.87/1.03 exact (zenon_H29 zenon_H2a). % 0.87/1.03 exact (zenon_H2b zenon_H2c). % 0.87/1.03 (* end of lemma zenon_L12_ *) % 0.87/1.03 assert (zenon_L13_ : (~(hskp15)) -> (hskp15) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2f zenon_H30. % 0.87/1.03 exact (zenon_H2f zenon_H30). % 0.87/1.03 (* end of lemma zenon_L13_ *) % 0.87/1.03 assert (zenon_L14_ : (~(hskp9)) -> (hskp9) -> False). % 0.87/1.03 do 0 intro. intros zenon_H31 zenon_H32. % 0.87/1.03 exact (zenon_H31 zenon_H32). % 0.87/1.03 (* end of lemma zenon_L14_ *) % 0.87/1.03 assert (zenon_L15_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a1919))) -> (~(c2_1 (a1919))) -> (c3_1 (a1919)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H33 zenon_Ha zenon_H34 zenon_H35 zenon_H36. % 0.87/1.03 generalize (zenon_H33 (a1919)). zenon_intro zenon_H37. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H9 | zenon_intro zenon_H38 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.87/1.03 exact (zenon_H34 zenon_H3a). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.87/1.03 exact (zenon_H35 zenon_H3c). % 0.87/1.03 exact (zenon_H3b zenon_H36). % 0.87/1.03 (* end of lemma zenon_L15_ *) % 0.87/1.03 assert (zenon_L16_ : (~(hskp13)) -> (hskp13) -> False). % 0.87/1.03 do 0 intro. intros zenon_H3d zenon_H3e. % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 (* end of lemma zenon_L16_ *) % 0.87/1.03 assert (zenon_L17_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp13)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H3f zenon_H40 zenon_H31 zenon_H3d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H33 | zenon_intro zenon_H43 ]. % 0.87/1.03 apply (zenon_L15_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H32 | zenon_intro zenon_H3e ]. % 0.87/1.03 exact (zenon_H31 zenon_H32). % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 (* end of lemma zenon_L17_ *) % 0.87/1.03 assert (zenon_L18_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H44 zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H2f zenon_H31 zenon_H46. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H19 | zenon_intro zenon_H49 ]. % 0.87/1.03 apply (zenon_L12_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ]. % 0.87/1.03 exact (zenon_H2f zenon_H30). % 0.87/1.03 exact (zenon_H31 zenon_H32). % 0.87/1.03 apply (zenon_L17_); trivial. % 0.87/1.03 (* end of lemma zenon_L18_ *) % 0.87/1.03 assert (zenon_L19_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4a zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H2f zenon_H31 zenon_H46 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H1 zenon_H17. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.03 apply (zenon_L8_); trivial. % 0.87/1.03 apply (zenon_L18_); trivial. % 0.87/1.03 (* end of lemma zenon_L19_ *) % 0.87/1.03 assert (zenon_L20_ : (~(hskp10)) -> (hskp10) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4b zenon_H4c. % 0.87/1.03 exact (zenon_H4b zenon_H4c). % 0.87/1.03 (* end of lemma zenon_L20_ *) % 0.87/1.03 assert (zenon_L21_ : ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> (~(hskp10)) -> (~(hskp24)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4d zenon_H1 zenon_H4b zenon_H2b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H2 | zenon_intro zenon_H4e ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H4c | zenon_intro zenon_H2c ]. % 0.87/1.03 exact (zenon_H4b zenon_H4c). % 0.87/1.03 exact (zenon_H2b zenon_H2c). % 0.87/1.03 (* end of lemma zenon_L21_ *) % 0.87/1.03 assert (zenon_L22_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (c1_1 (a1872)) -> (c2_1 (a1872)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4f zenon_Ha zenon_H50 zenon_H51 zenon_H52. % 0.87/1.03 generalize (zenon_H4f (a1872)). zenon_intro zenon_H53. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H9 | zenon_intro zenon_H54 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.87/1.03 exact (zenon_H50 zenon_H56). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.87/1.03 exact (zenon_H58 zenon_H51). % 0.87/1.03 exact (zenon_H57 zenon_H52). % 0.87/1.03 (* end of lemma zenon_L22_ *) % 0.87/1.03 assert (zenon_L23_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (c2_1 (a1872)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H59 zenon_Ha zenon_H50 zenon_H4f zenon_H52. % 0.87/1.03 generalize (zenon_H59 (a1872)). zenon_intro zenon_H5a. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H9 | zenon_intro zenon_H5b ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H56 | zenon_intro zenon_H5c ]. % 0.87/1.03 exact (zenon_H50 zenon_H56). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H57 ]. % 0.87/1.03 apply (zenon_L22_); trivial. % 0.87/1.03 exact (zenon_H57 zenon_H52). % 0.87/1.03 (* end of lemma zenon_L23_ *) % 0.87/1.03 assert (zenon_L24_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H5d zenon_H52 zenon_H50 zenon_H59 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.03 apply (zenon_L23_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.03 apply (zenon_L15_); trivial. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 (* end of lemma zenon_L24_ *) % 0.87/1.03 assert (zenon_L25_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H3f zenon_H5f zenon_H50 zenon_H52 zenon_H5d zenon_H1 zenon_H31. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H59 | zenon_intro zenon_H60 ]. % 0.87/1.03 apply (zenon_L24_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H2 | zenon_intro zenon_H32 ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 exact (zenon_H31 zenon_H32). % 0.87/1.03 (* end of lemma zenon_L25_ *) % 0.87/1.03 assert (zenon_L26_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H45 zenon_H5f zenon_H31 zenon_H50 zenon_H52 zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.03 apply (zenon_L21_); trivial. % 0.87/1.03 apply (zenon_L25_); trivial. % 0.87/1.03 (* end of lemma zenon_L26_ *) % 0.87/1.03 assert (zenon_L27_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.03 apply (zenon_L21_); trivial. % 0.87/1.03 apply (zenon_L17_); trivial. % 0.87/1.03 (* end of lemma zenon_L27_ *) % 0.87/1.03 assert (zenon_L28_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8))))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H61 zenon_Ha zenon_H62 zenon_H63 zenon_H64. % 0.87/1.03 generalize (zenon_H61 (a1867)). zenon_intro zenon_H65. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H9 | zenon_intro zenon_H66 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 0.87/1.03 exact (zenon_H62 zenon_H68). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.87/1.03 exact (zenon_H63 zenon_H6a). % 0.87/1.03 exact (zenon_H64 zenon_H69). % 0.87/1.03 (* end of lemma zenon_L28_ *) % 0.87/1.03 assert (zenon_L29_ : (~(hskp22)) -> (hskp22) -> False). % 0.87/1.03 do 0 intro. intros zenon_H6b zenon_H6c. % 0.87/1.03 exact (zenon_H6b zenon_H6c). % 0.87/1.03 (* end of lemma zenon_L29_ *) % 0.87/1.03 assert (zenon_L30_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp16)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H6b zenon_H5. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H61 | zenon_intro zenon_H6e ]. % 0.87/1.03 apply (zenon_L28_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H6c | zenon_intro zenon_H6 ]. % 0.87/1.03 exact (zenon_H6b zenon_H6c). % 0.87/1.03 exact (zenon_H5 zenon_H6). % 0.87/1.03 (* end of lemma zenon_L30_ *) % 0.87/1.03 assert (zenon_L31_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H6f zenon_Ha zenon_H70 zenon_H71 zenon_H72. % 0.87/1.03 generalize (zenon_H6f (a1899)). zenon_intro zenon_H73. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H9 | zenon_intro zenon_H74 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.87/1.03 exact (zenon_H70 zenon_H76). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.87/1.03 exact (zenon_H71 zenon_H78). % 0.87/1.03 exact (zenon_H77 zenon_H72). % 0.87/1.03 (* end of lemma zenon_L31_ *) % 0.87/1.03 assert (zenon_L32_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp9)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H3f zenon_H79 zenon_H72 zenon_H71 zenon_H70 zenon_H31. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H33 | zenon_intro zenon_H7a ]. % 0.87/1.03 apply (zenon_L15_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6f | zenon_intro zenon_H32 ]. % 0.87/1.03 apply (zenon_L31_); trivial. % 0.87/1.03 exact (zenon_H31 zenon_H32). % 0.87/1.03 (* end of lemma zenon_L32_ *) % 0.87/1.03 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H7b zenon_H45 zenon_H79 zenon_H31 zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.03 apply (zenon_L21_); trivial. % 0.87/1.03 apply (zenon_L32_); trivial. % 0.87/1.03 (* end of lemma zenon_L33_ *) % 0.87/1.03 assert (zenon_L34_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H7e zenon_H45 zenon_H79 zenon_H31 zenon_H1 zenon_H4b zenon_H4d zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.03 apply (zenon_L30_); trivial. % 0.87/1.03 apply (zenon_L33_); trivial. % 0.87/1.03 (* end of lemma zenon_L34_ *) % 0.87/1.03 assert (zenon_L35_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H79 zenon_H45 zenon_H7e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.03 apply (zenon_L34_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.03 apply (zenon_L26_); trivial. % 0.87/1.03 (* end of lemma zenon_L35_ *) % 0.87/1.03 assert (zenon_L36_ : (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H84 zenon_Ha zenon_H85 zenon_H86 zenon_H87. % 0.87/1.03 generalize (zenon_H84 (a1864)). zenon_intro zenon_H88. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H9 | zenon_intro zenon_H89 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ]. % 0.87/1.03 exact (zenon_H85 zenon_H8b). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 0.87/1.03 exact (zenon_H8d zenon_H86). % 0.87/1.03 exact (zenon_H8c zenon_H87). % 0.87/1.03 (* end of lemma zenon_L36_ *) % 0.87/1.03 assert (zenon_L37_ : (~(hskp7)) -> (hskp7) -> False). % 0.87/1.03 do 0 intro. intros zenon_H8e zenon_H8f. % 0.87/1.03 exact (zenon_H8e zenon_H8f). % 0.87/1.03 (* end of lemma zenon_L37_ *) % 0.87/1.03 assert (zenon_L38_ : (~(hskp1)) -> (hskp1) -> False). % 0.87/1.03 do 0 intro. intros zenon_H90 zenon_H91. % 0.87/1.03 exact (zenon_H90 zenon_H91). % 0.87/1.03 (* end of lemma zenon_L38_ *) % 0.87/1.03 assert (zenon_L39_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp1)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H92 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H8e zenon_H90. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H84 | zenon_intro zenon_H93 ]. % 0.87/1.03 apply (zenon_L36_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H8f | zenon_intro zenon_H91 ]. % 0.87/1.03 exact (zenon_H8e zenon_H8f). % 0.87/1.03 exact (zenon_H90 zenon_H91). % 0.87/1.03 (* end of lemma zenon_L39_ *) % 0.87/1.03 assert (zenon_L40_ : (~(hskp6)) -> (hskp6) -> False). % 0.87/1.03 do 0 intro. intros zenon_H94 zenon_H95. % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 (* end of lemma zenon_L40_ *) % 0.87/1.03 assert (zenon_L41_ : (~(hskp5)) -> (hskp5) -> False). % 0.87/1.03 do 0 intro. intros zenon_H96 zenon_H97. % 0.87/1.03 exact (zenon_H96 zenon_H97). % 0.87/1.03 (* end of lemma zenon_L41_ *) % 0.87/1.03 assert (zenon_L42_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a1960))) -> (c1_1 (a1960)) -> (c2_1 (a1960)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4f zenon_Ha zenon_H98 zenon_H99 zenon_H9a. % 0.87/1.03 generalize (zenon_H4f (a1960)). zenon_intro zenon_H9b. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H9 | zenon_intro zenon_H9c ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.87/1.03 exact (zenon_H98 zenon_H9e). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.87/1.03 exact (zenon_Ha0 zenon_H99). % 0.87/1.03 exact (zenon_H9f zenon_H9a). % 0.87/1.03 (* end of lemma zenon_L42_ *) % 0.87/1.03 assert (zenon_L43_ : ((ndr1_0)/\((c1_1 (a1960))/\((c2_1 (a1960))/\(~(c0_1 (a1960)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (~(hskp8)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Ha1 zenon_H5d zenon_H36 zenon_H35 zenon_H34 zenon_H1. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha. zenon_intro zenon_Ha2. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H99. zenon_intro zenon_Ha3. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H9a. zenon_intro zenon_H98. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.03 apply (zenon_L42_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.03 apply (zenon_L15_); trivial. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 (* end of lemma zenon_L43_ *) % 0.87/1.03 assert (zenon_L44_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1960))/\((c2_1 (a1960))/\(~(c0_1 (a1960))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp25)\/((hskp6)\/(hskp5))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H45 zenon_Ha4 zenon_H5d zenon_H94 zenon_H96 zenon_Ha5 zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.03 apply (zenon_L21_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha1 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.87/1.03 exact (zenon_Ha6 zenon_Ha8). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H95 | zenon_intro zenon_H97 ]. % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 exact (zenon_H96 zenon_H97). % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 (* end of lemma zenon_L44_ *) % 0.87/1.03 assert (zenon_L45_ : (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Ha9 zenon_Ha zenon_Haa zenon_Hab zenon_Hac. % 0.87/1.03 generalize (zenon_Ha9 (a1863)). zenon_intro zenon_Had. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_H9 | zenon_intro zenon_Hae ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ]. % 0.87/1.03 exact (zenon_Haa zenon_Hb0). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 0.87/1.03 exact (zenon_Hab zenon_Hb2). % 0.87/1.03 exact (zenon_Hb1 zenon_Hac). % 0.87/1.03 (* end of lemma zenon_L45_ *) % 0.87/1.03 assert (zenon_L46_ : (~(hskp23)) -> (hskp23) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hb3 zenon_Hb4. % 0.87/1.03 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.03 (* end of lemma zenon_L46_ *) % 0.87/1.03 assert (zenon_L47_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_H1 zenon_Hb3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.03 apply (zenon_L45_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H2 | zenon_intro zenon_Hb4 ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.03 (* end of lemma zenon_L47_ *) % 0.87/1.03 assert (zenon_L48_ : (~(hskp29)) -> (hskp29) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hb7 zenon_Hb8. % 0.87/1.03 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.03 (* end of lemma zenon_L48_ *) % 0.87/1.03 assert (zenon_L49_ : (~(hskp27)) -> (hskp27) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hb9 zenon_Hba. % 0.87/1.03 exact (zenon_Hb9 zenon_Hba). % 0.87/1.03 (* end of lemma zenon_L49_ *) % 0.87/1.03 assert (zenon_L50_ : ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp29)) -> (~(hskp27)) -> (~(hskp1)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hbb zenon_Hb7 zenon_Hb9 zenon_H90. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hbc ]. % 0.87/1.03 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hba | zenon_intro zenon_H91 ]. % 0.87/1.03 exact (zenon_Hb9 zenon_Hba). % 0.87/1.03 exact (zenon_H90 zenon_H91). % 0.87/1.03 (* end of lemma zenon_L50_ *) % 0.87/1.03 assert (zenon_L51_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hbd zenon_Ha zenon_Hbe zenon_Hbf zenon_Hc0. % 0.87/1.03 generalize (zenon_Hbd (a1911)). zenon_intro zenon_Hc1. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc2 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ]. % 0.87/1.03 exact (zenon_Hbe zenon_Hc4). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.87/1.03 exact (zenon_Hbf zenon_Hc6). % 0.87/1.03 exact (zenon_Hc5 zenon_Hc0). % 0.87/1.03 (* end of lemma zenon_L51_ *) % 0.87/1.03 assert (zenon_L52_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1885)) -> (c1_1 (a1885)) -> (c2_1 (a1885)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1a zenon_Ha zenon_Hc7 zenon_Hc8 zenon_Hc9. % 0.87/1.03 generalize (zenon_H1a (a1885)). zenon_intro zenon_Hca. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcb ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.87/1.03 exact (zenon_Hcd zenon_Hc7). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.87/1.03 exact (zenon_Hcf zenon_Hc8). % 0.87/1.03 exact (zenon_Hce zenon_Hc9). % 0.87/1.03 (* end of lemma zenon_L52_ *) % 0.87/1.03 assert (zenon_L53_ : (~(hskp21)) -> (hskp21) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd0 zenon_Hd1. % 0.87/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.03 (* end of lemma zenon_L53_ *) % 0.87/1.03 assert (zenon_L54_ : ((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (~(hskp21)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_Hd0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha. zenon_intro zenon_Hd4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hc7. zenon_intro zenon_Hd5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hd6 ]. % 0.87/1.03 apply (zenon_L51_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1a | zenon_intro zenon_Hd1 ]. % 0.87/1.03 apply (zenon_L52_); trivial. % 0.87/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.03 (* end of lemma zenon_L54_ *) % 0.87/1.03 assert (zenon_L55_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (~(hskp27)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd7 zenon_Hd3 zenon_Hd0 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_Hb9 zenon_H90 zenon_Hbb. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.03 apply (zenon_L50_); trivial. % 0.87/1.03 apply (zenon_L54_); trivial. % 0.87/1.03 (* end of lemma zenon_L55_ *) % 0.87/1.03 assert (zenon_L56_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c2_1 (a1877)) -> (c3_1 (a1877)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_Hd9 zenon_Hda zenon_Hdb. % 0.87/1.03 generalize (zenon_Hd8 (a1877)). zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Hdc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdd ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 0.87/1.03 exact (zenon_Hdf zenon_Hd9). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.87/1.03 exact (zenon_He1 zenon_Hda). % 0.87/1.03 exact (zenon_He0 zenon_Hdb). % 0.87/1.03 (* end of lemma zenon_L56_ *) % 0.87/1.03 assert (zenon_L57_ : (~(hskp28)) -> (hskp28) -> False). % 0.87/1.03 do 0 intro. intros zenon_He2 zenon_He3. % 0.87/1.03 exact (zenon_He2 zenon_He3). % 0.87/1.03 (* end of lemma zenon_L57_ *) % 0.87/1.03 assert (zenon_L58_ : ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (c0_1 (a1877)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp0)) -> False). % 0.87/1.03 do 0 intro. intros zenon_He4 zenon_Hdb zenon_Hda zenon_Hd9 zenon_Ha zenon_He2 zenon_H29. % 0.87/1.03 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He5 ]. % 0.87/1.03 apply (zenon_L56_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He3 | zenon_intro zenon_H2a ]. % 0.87/1.03 exact (zenon_He2 zenon_He3). % 0.87/1.03 exact (zenon_H29 zenon_H2a). % 0.87/1.03 (* end of lemma zenon_L58_ *) % 0.87/1.03 assert (zenon_L59_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a1878))) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H4f zenon_Ha zenon_He6 zenon_He7 zenon_He8. % 0.87/1.03 generalize (zenon_H4f (a1878)). zenon_intro zenon_He9. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hea ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.87/1.03 exact (zenon_He6 zenon_Hec). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.87/1.03 exact (zenon_Hee zenon_He7). % 0.87/1.03 exact (zenon_Hed zenon_He8). % 0.87/1.03 (* end of lemma zenon_L59_ *) % 0.87/1.03 assert (zenon_L60_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1a zenon_Ha zenon_H4f zenon_He7 zenon_He8. % 0.87/1.03 generalize (zenon_H1a (a1878)). zenon_intro zenon_Hef. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf0 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_He6 | zenon_intro zenon_Heb ]. % 0.87/1.03 apply (zenon_L59_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.87/1.03 exact (zenon_Hee zenon_He7). % 0.87/1.03 exact (zenon_Hed zenon_He8). % 0.87/1.03 (* end of lemma zenon_L60_ *) % 0.87/1.03 assert (zenon_L61_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd3 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_He8 zenon_He7 zenon_H4f zenon_Ha zenon_Hd0. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hd6 ]. % 0.87/1.03 apply (zenon_L51_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1a | zenon_intro zenon_Hd1 ]. % 0.87/1.03 apply (zenon_L60_); trivial. % 0.87/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.03 (* end of lemma zenon_L61_ *) % 0.87/1.03 assert (zenon_L62_ : (~(hskp20)) -> (hskp20) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf1 zenon_Hf2. % 0.87/1.03 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.03 (* end of lemma zenon_L62_ *) % 0.87/1.03 assert (zenon_L63_ : (~(hskp19)) -> (hskp19) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf3 zenon_Hf4. % 0.87/1.03 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.03 (* end of lemma zenon_L63_ *) % 0.87/1.03 assert (zenon_L64_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.03 apply (zenon_L55_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.03 apply (zenon_L58_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H4f | zenon_intro zenon_H102 ]. % 0.87/1.03 apply (zenon_L61_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.87/1.03 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.03 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.03 (* end of lemma zenon_L64_ *) % 0.87/1.03 assert (zenon_L65_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H103 zenon_Ha zenon_H104 zenon_H105 zenon_H106. % 0.87/1.03 generalize (zenon_H103 (a1898)). zenon_intro zenon_H107. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.87/1.03 exact (zenon_H104 zenon_H10a). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.87/1.03 exact (zenon_H105 zenon_H10c). % 0.87/1.03 exact (zenon_H10b zenon_H106). % 0.87/1.03 (* end of lemma zenon_L65_ *) % 0.87/1.03 assert (zenon_L66_ : (~(hskp3)) -> (hskp3) -> False). % 0.87/1.03 do 0 intro. intros zenon_H10d zenon_H10e. % 0.87/1.03 exact (zenon_H10d zenon_H10e). % 0.87/1.03 (* end of lemma zenon_L66_ *) % 0.87/1.03 assert (zenon_L67_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp15)) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H10f zenon_H110 zenon_H2f zenon_H10d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H103 | zenon_intro zenon_H113 ]. % 0.87/1.03 apply (zenon_L65_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H30 | zenon_intro zenon_H10e ]. % 0.87/1.03 exact (zenon_H2f zenon_H30). % 0.87/1.03 exact (zenon_H10d zenon_H10e). % 0.87/1.03 (* end of lemma zenon_L67_ *) % 0.87/1.03 assert (zenon_L68_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H114 zenon_H110 zenon_H10d zenon_H2f zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf1 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.03 apply (zenon_L47_); trivial. % 0.87/1.03 apply (zenon_L64_); trivial. % 0.87/1.03 apply (zenon_L67_); trivial. % 0.87/1.03 (* end of lemma zenon_L68_ *) % 0.87/1.03 assert (zenon_L69_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H59 zenon_Ha zenon_H116 zenon_H117 zenon_H118. % 0.87/1.03 generalize (zenon_H59 (a1890)). zenon_intro zenon_H119. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 0.87/1.03 exact (zenon_H116 zenon_H11c). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.87/1.03 exact (zenon_H117 zenon_H11e). % 0.87/1.03 exact (zenon_H11d zenon_H118). % 0.87/1.03 (* end of lemma zenon_L69_ *) % 0.87/1.03 assert (zenon_L70_ : (~(hskp12)) -> (hskp12) -> False). % 0.87/1.03 do 0 intro. intros zenon_H11f zenon_H120. % 0.87/1.03 exact (zenon_H11f zenon_H120). % 0.87/1.03 (* end of lemma zenon_L70_ *) % 0.87/1.03 assert (zenon_L71_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H121 zenon_H122 zenon_H11f zenon_H3d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H125 ]. % 0.87/1.03 apply (zenon_L69_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H120 | zenon_intro zenon_H3e ]. % 0.87/1.03 exact (zenon_H11f zenon_H120). % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 (* end of lemma zenon_L71_ *) % 0.87/1.03 assert (zenon_L72_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H2f zenon_H10d zenon_H110 zenon_H114. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_L68_); trivial. % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 (* end of lemma zenon_L72_ *) % 0.87/1.03 assert (zenon_L73_ : (~(hskp26)) -> (hskp26) -> False). % 0.87/1.03 do 0 intro. intros zenon_H127 zenon_H128. % 0.87/1.03 exact (zenon_H127 zenon_H128). % 0.87/1.03 (* end of lemma zenon_L73_ *) % 0.87/1.03 assert (zenon_L74_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp23)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H127 zenon_Hb3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H84 | zenon_intro zenon_H12a ]. % 0.87/1.03 apply (zenon_L36_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H128 | zenon_intro zenon_Hb4 ]. % 0.87/1.03 exact (zenon_H127 zenon_H128). % 0.87/1.03 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.03 (* end of lemma zenon_L74_ *) % 0.87/1.03 assert (zenon_L75_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H12b zenon_Ha zenon_H12c zenon_H12d zenon_H12e. % 0.87/1.03 generalize (zenon_H12b (a1884)). zenon_intro zenon_H12f. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H9 | zenon_intro zenon_H130 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 0.87/1.03 exact (zenon_H12c zenon_H132). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 0.87/1.03 exact (zenon_H12d zenon_H134). % 0.87/1.03 exact (zenon_H12e zenon_H133). % 0.87/1.03 (* end of lemma zenon_L75_ *) % 0.87/1.03 assert (zenon_L76_ : (forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))) -> (ndr1_0) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H135 zenon_Ha zenon_H136 zenon_H137 zenon_H138. % 0.87/1.03 generalize (zenon_H135 (a1858)). zenon_intro zenon_H139. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H9 | zenon_intro zenon_H13a ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.87/1.03 exact (zenon_H13c zenon_H136). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.87/1.03 exact (zenon_H13e zenon_H137). % 0.87/1.03 exact (zenon_H13d zenon_H138). % 0.87/1.03 (* end of lemma zenon_L76_ *) % 0.87/1.03 assert (zenon_L77_ : ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H13f zenon_H1d zenon_H1c zenon_H1b zenon_H1a zenon_H138 zenon_H137 zenon_H136 zenon_Ha zenon_Hf1. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H19 | zenon_intro zenon_H140 ]. % 0.87/1.03 apply (zenon_L9_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H135 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L76_); trivial. % 0.87/1.03 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.03 (* end of lemma zenon_L77_ *) % 0.87/1.03 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp20)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H141 zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_Hf1 zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_H94. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.03 apply (zenon_L75_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.03 apply (zenon_L77_); trivial. % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 (* end of lemma zenon_L78_ *) % 0.87/1.03 assert (zenon_L79_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H146 zenon_H142 zenon_H94 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.03 apply (zenon_L74_); trivial. % 0.87/1.03 apply (zenon_L78_); trivial. % 0.87/1.03 (* end of lemma zenon_L79_ *) % 0.87/1.03 assert (zenon_L80_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a1878))) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H147 zenon_Ha zenon_He6 zenon_He8 zenon_H101. % 0.87/1.03 generalize (zenon_H147 (a1878)). zenon_intro zenon_H148. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H148); [ zenon_intro zenon_H9 | zenon_intro zenon_H149 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hec | zenon_intro zenon_H14a ]. % 0.87/1.03 exact (zenon_He6 zenon_Hec). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hed | zenon_intro zenon_H14b ]. % 0.87/1.03 exact (zenon_Hed zenon_He8). % 0.87/1.03 exact (zenon_H14b zenon_H101). % 0.87/1.03 (* end of lemma zenon_L80_ *) % 0.87/1.03 assert (zenon_L81_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H142 zenon_H94 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_Hbe zenon_Hbf zenon_Hc0 zenon_H2f zenon_H14c zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_He4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.03 apply (zenon_L58_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.03 apply (zenon_L75_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H147 | zenon_intro zenon_H14d ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H19 | zenon_intro zenon_H140 ]. % 0.87/1.03 apply (zenon_L9_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H135 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 generalize (zenon_H135 (a1878)). zenon_intro zenon_H14e. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H9 | zenon_intro zenon_H14f ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_He6 | zenon_intro zenon_H150 ]. % 0.87/1.03 apply (zenon_L80_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hee | zenon_intro zenon_H14b ]. % 0.87/1.03 exact (zenon_Hee zenon_He7). % 0.87/1.03 exact (zenon_H14b zenon_H101). % 0.87/1.03 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hbd | zenon_intro zenon_H30 ]. % 0.87/1.03 apply (zenon_L51_); trivial. % 0.87/1.03 exact (zenon_H2f zenon_H30). % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 (* end of lemma zenon_L81_ *) % 0.87/1.03 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf7 zenon_H142 zenon_H94 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H2f zenon_H14c zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.03 apply (zenon_L55_); trivial. % 0.87/1.03 apply (zenon_L81_); trivial. % 0.87/1.03 (* end of lemma zenon_L82_ *) % 0.87/1.03 assert (zenon_L83_ : (~(hskp14)) -> (hskp14) -> False). % 0.87/1.03 do 0 intro. intros zenon_H151 zenon_H152. % 0.87/1.03 exact (zenon_H151 zenon_H152). % 0.87/1.03 (* end of lemma zenon_L83_ *) % 0.87/1.03 assert (zenon_L84_ : (~(hskp4)) -> (hskp4) -> False). % 0.87/1.03 do 0 intro. intros zenon_H153 zenon_H154. % 0.87/1.03 exact (zenon_H153 zenon_H154). % 0.87/1.03 (* end of lemma zenon_L84_ *) % 0.87/1.03 assert (zenon_L85_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp14)) -> (~(hskp4)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H10f zenon_H155 zenon_H151 zenon_H153. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H103 | zenon_intro zenon_H156 ]. % 0.87/1.03 apply (zenon_L65_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H152 | zenon_intro zenon_H154 ]. % 0.87/1.03 exact (zenon_H151 zenon_H152). % 0.87/1.03 exact (zenon_H153 zenon_H154). % 0.87/1.03 (* end of lemma zenon_L85_ *) % 0.87/1.03 assert (zenon_L86_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp14)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H157 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_Hf6 zenon_Hf7 zenon_H2f zenon_H14c zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_H1d zenon_H1c zenon_H1b zenon_H94 zenon_H142 zenon_H146 zenon_H151 zenon_H153 zenon_H155 zenon_H114. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.03 apply (zenon_L79_); trivial. % 0.87/1.03 apply (zenon_L82_); trivial. % 0.87/1.03 apply (zenon_L85_); trivial. % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 (* end of lemma zenon_L86_ *) % 0.87/1.03 assert (zenon_L87_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H147 zenon_Ha zenon_H50 zenon_H52 zenon_H83. % 0.87/1.03 generalize (zenon_H147 (a1872)). zenon_intro zenon_H15a. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H15a); [ zenon_intro zenon_H9 | zenon_intro zenon_H15b ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 0.87/1.03 exact (zenon_H50 zenon_H56). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H57 | zenon_intro zenon_H15d ]. % 0.87/1.03 exact (zenon_H57 zenon_H52). % 0.87/1.03 exact (zenon_H15d zenon_H83). % 0.87/1.03 (* end of lemma zenon_L87_ *) % 0.87/1.03 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp15)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H83 zenon_H52 zenon_H50 zenon_H2f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H147 | zenon_intro zenon_H14d ]. % 0.87/1.03 apply (zenon_L87_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hbd | zenon_intro zenon_H30 ]. % 0.87/1.03 apply (zenon_L51_); trivial. % 0.87/1.03 exact (zenon_H2f zenon_H30). % 0.87/1.03 (* end of lemma zenon_L88_ *) % 0.87/1.03 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H80 zenon_H115 zenon_H14c zenon_H2f zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.03 apply (zenon_L47_); trivial. % 0.87/1.03 apply (zenon_L88_); trivial. % 0.87/1.03 (* end of lemma zenon_L89_ *) % 0.87/1.03 assert (zenon_L90_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H15e zenon_Ha zenon_H15f zenon_H160 zenon_H161. % 0.87/1.03 generalize (zenon_H15e (a1870)). zenon_intro zenon_H162. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.87/1.03 exact (zenon_H15f zenon_H165). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.87/1.03 exact (zenon_H160 zenon_H167). % 0.87/1.03 exact (zenon_H166 zenon_H161). % 0.87/1.03 (* end of lemma zenon_L90_ *) % 0.87/1.03 assert (zenon_L91_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp26)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_Hb7 zenon_H127. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15e | zenon_intro zenon_H169 ]. % 0.87/1.03 apply (zenon_L90_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H128 ]. % 0.87/1.03 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.03 exact (zenon_H127 zenon_H128). % 0.87/1.03 (* end of lemma zenon_L91_ *) % 0.87/1.03 assert (zenon_L92_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd7 zenon_Hd3 zenon_Hd0 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H127 zenon_H168. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.03 apply (zenon_L91_); trivial. % 0.87/1.03 apply (zenon_L54_); trivial. % 0.87/1.03 (* end of lemma zenon_L92_ *) % 0.87/1.03 assert (zenon_L93_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (~(hskp20)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp21)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H141 zenon_Hd3 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_Hf1 zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_Hd0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hd6 ]. % 0.87/1.03 apply (zenon_L51_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1a | zenon_intro zenon_Hd1 ]. % 0.87/1.03 apply (zenon_L77_); trivial. % 0.87/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.03 (* end of lemma zenon_L93_ *) % 0.87/1.03 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf5 zenon_H146 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.03 apply (zenon_L92_); trivial. % 0.87/1.03 apply (zenon_L93_); trivial. % 0.87/1.03 (* end of lemma zenon_L94_ *) % 0.87/1.03 assert (zenon_L95_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H115 zenon_H146 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.03 apply (zenon_L47_); trivial. % 0.87/1.03 apply (zenon_L94_); trivial. % 0.87/1.03 (* end of lemma zenon_L95_ *) % 0.87/1.03 assert (zenon_L96_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H10f zenon_H16a zenon_H5 zenon_H3d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H103 | zenon_intro zenon_H16b ]. % 0.87/1.03 apply (zenon_L65_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H6 | zenon_intro zenon_H3e ]. % 0.87/1.03 exact (zenon_H5 zenon_H6). % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 (* end of lemma zenon_L96_ *) % 0.87/1.03 assert (zenon_L97_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H114 zenon_H16a zenon_H3d zenon_H5 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hd7 zenon_Hd3 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H146 zenon_H115. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.03 apply (zenon_L95_); trivial. % 0.87/1.03 apply (zenon_L96_); trivial. % 0.87/1.03 (* end of lemma zenon_L97_ *) % 0.87/1.03 assert (zenon_L98_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H122 zenon_H11f zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H3d zenon_H16a zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.03 apply (zenon_L4_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.03 apply (zenon_L8_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_L97_); trivial. % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 (* end of lemma zenon_L98_ *) % 0.87/1.03 assert (zenon_L99_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(hskp20)) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf8 zenon_H52 zenon_H50 zenon_Ha zenon_H59 zenon_Hf1 zenon_Hf3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H4f | zenon_intro zenon_H102 ]. % 0.87/1.03 apply (zenon_L23_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.87/1.03 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.03 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.03 (* end of lemma zenon_L99_ *) % 0.87/1.03 assert (zenon_L100_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H126 zenon_Hf8 zenon_Hf3 zenon_H52 zenon_H50 zenon_Ha zenon_H11f zenon_H3d zenon_H122. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H125 ]. % 0.87/1.03 apply (zenon_L99_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H120 | zenon_intro zenon_H3e ]. % 0.87/1.03 exact (zenon_H11f zenon_H120). % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 (* end of lemma zenon_L100_ *) % 0.87/1.03 assert (zenon_L101_ : ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp18)) -> (~(hskp22)) -> (~(hskp12)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H170 zenon_H15 zenon_H6b zenon_H11f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H16 | zenon_intro zenon_H171 ]. % 0.87/1.03 exact (zenon_H15 zenon_H16). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H6c | zenon_intro zenon_H120 ]. % 0.87/1.03 exact (zenon_H6b zenon_H6c). % 0.87/1.03 exact (zenon_H11f zenon_H120). % 0.87/1.03 (* end of lemma zenon_L101_ *) % 0.87/1.03 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H7b zenon_H172 zenon_H12e zenon_H12d zenon_H12c zenon_H10d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.87/1.03 apply (zenon_L75_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 0.87/1.03 apply (zenon_L31_); trivial. % 0.87/1.03 exact (zenon_H10d zenon_H10e). % 0.87/1.03 (* end of lemma zenon_L102_ *) % 0.87/1.03 assert (zenon_L103_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H157 zenon_H7e zenon_H172 zenon_H10d zenon_H15 zenon_H11f zenon_H170. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.03 apply (zenon_L101_); trivial. % 0.87/1.03 apply (zenon_L102_); trivial. % 0.87/1.03 (* end of lemma zenon_L103_ *) % 0.87/1.03 assert (zenon_L104_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H174 zenon_H7e zenon_H172 zenon_H10d zenon_H15 zenon_H170 zenon_H122 zenon_H3d zenon_H11f zenon_Ha zenon_H50 zenon_H52 zenon_Hf8 zenon_H126. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.03 apply (zenon_L100_); trivial. % 0.87/1.03 apply (zenon_L103_); trivial. % 0.87/1.03 (* end of lemma zenon_L104_ *) % 0.87/1.03 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp6)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd2 zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_H94. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha. zenon_intro zenon_Hd4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hc7. zenon_intro zenon_Hd5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.03 apply (zenon_L75_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.03 apply (zenon_L52_); trivial. % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 (* end of lemma zenon_L105_ *) % 0.87/1.03 assert (zenon_L106_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd7 zenon_H142 zenon_H94 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H127 zenon_H168. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.03 apply (zenon_L91_); trivial. % 0.87/1.03 apply (zenon_L105_); trivial. % 0.87/1.03 (* end of lemma zenon_L106_ *) % 0.87/1.03 assert (zenon_L107_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H146 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H12c zenon_H12d zenon_H12e zenon_H94 zenon_H142 zenon_Hd7. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.03 apply (zenon_L106_); trivial. % 0.87/1.03 apply (zenon_L78_); trivial. % 0.87/1.03 (* end of lemma zenon_L107_ *) % 0.87/1.03 assert (zenon_L108_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H157 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_Hd7 zenon_H142 zenon_H94 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_H1d zenon_H1c zenon_H1b zenon_H146. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_L107_); trivial. % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 (* end of lemma zenon_L108_ *) % 0.87/1.03 assert (zenon_L109_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H80 zenon_H4a zenon_Hd7 zenon_H142 zenon_H94 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_H146 zenon_H126 zenon_Hf8 zenon_H11f zenon_H3d zenon_H122 zenon_H170 zenon_H10d zenon_H172 zenon_H7e zenon_H174. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.03 apply (zenon_L104_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.03 apply (zenon_L100_); trivial. % 0.87/1.03 apply (zenon_L108_); trivial. % 0.87/1.03 (* end of lemma zenon_L109_ *) % 0.87/1.03 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H175 zenon_H7f zenon_H142 zenon_H94 zenon_Hf8 zenon_H170 zenon_H10d zenon_H172 zenon_H7e zenon_H174 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H11f zenon_H122 zenon_H126 zenon_H4a zenon_H16c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.03 apply (zenon_L98_); trivial. % 0.87/1.03 apply (zenon_L109_); trivial. % 0.87/1.03 (* end of lemma zenon_L110_ *) % 0.87/1.03 assert (zenon_L111_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H178 zenon_Ha zenon_H179 zenon_H17a zenon_H17b. % 0.87/1.03 generalize (zenon_H178 (a1868)). zenon_intro zenon_H17c. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H9 | zenon_intro zenon_H17d ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.87/1.03 exact (zenon_H179 zenon_H17f). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.87/1.03 exact (zenon_H181 zenon_H17a). % 0.87/1.03 exact (zenon_H180 zenon_H17b). % 0.87/1.03 (* end of lemma zenon_L111_ *) % 0.87/1.03 assert (zenon_L112_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp22)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_Ha zenon_Hb9 zenon_H6b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 0.87/1.03 apply (zenon_L111_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hba | zenon_intro zenon_H6c ]. % 0.87/1.03 exact (zenon_Hb9 zenon_Hba). % 0.87/1.03 exact (zenon_H6b zenon_H6c). % 0.87/1.03 (* end of lemma zenon_L112_ *) % 0.87/1.03 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf7 zenon_H142 zenon_H94 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H2f zenon_H14c zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.03 apply (zenon_L112_); trivial. % 0.87/1.03 apply (zenon_L81_); trivial. % 0.87/1.03 (* end of lemma zenon_L113_ *) % 0.87/1.03 assert (zenon_L114_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H184 zenon_H182 zenon_H7f zenon_H7 zenon_H1 zenon_H17 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H10d zenon_H110 zenon_H114 zenon_H155 zenon_H153 zenon_H146 zenon_H142 zenon_H94 zenon_H13f zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H14c zenon_H174 zenon_H4a zenon_H16c zenon_H168 zenon_H16a zenon_H7e zenon_H172 zenon_H170 zenon_H185. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.03 apply (zenon_L4_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.03 apply (zenon_L8_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.03 apply (zenon_L72_); trivial. % 0.87/1.03 apply (zenon_L86_); trivial. % 0.87/1.03 apply (zenon_L89_); trivial. % 0.87/1.03 apply (zenon_L110_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.03 apply (zenon_L4_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.03 apply (zenon_L8_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.03 apply (zenon_L72_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.03 apply (zenon_L79_); trivial. % 0.87/1.03 apply (zenon_L113_); trivial. % 0.87/1.03 apply (zenon_L102_); trivial. % 0.87/1.03 apply (zenon_L71_); trivial. % 0.87/1.03 apply (zenon_L89_); trivial. % 0.87/1.03 apply (zenon_L110_); trivial. % 0.87/1.03 (* end of lemma zenon_L114_ *) % 0.87/1.03 assert (zenon_L115_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H189 zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H1 zenon_Hd0. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H61 | zenon_intro zenon_H18a ]. % 0.87/1.03 apply (zenon_L28_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd1 ]. % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.03 (* end of lemma zenon_L115_ *) % 0.87/1.03 assert (zenon_L116_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H114 zenon_H110 zenon_H10d zenon_H2f zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H1 zenon_H189. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.03 apply (zenon_L115_); trivial. % 0.87/1.03 apply (zenon_L67_); trivial. % 0.87/1.03 (* end of lemma zenon_L116_ *) % 0.87/1.03 assert (zenon_L117_ : (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33)))))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H19 zenon_Ha zenon_H18b zenon_H160 zenon_H161. % 0.87/1.03 generalize (zenon_H19 (a1870)). zenon_intro zenon_H18c. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H18c); [ zenon_intro zenon_H9 | zenon_intro zenon_H18d ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18e | zenon_intro zenon_H164 ]. % 0.87/1.03 generalize (zenon_H18b (a1870)). zenon_intro zenon_H18f. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_H9 | zenon_intro zenon_H190 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H167 | zenon_intro zenon_H191 ]. % 0.87/1.03 exact (zenon_H160 zenon_H167). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H166 | zenon_intro zenon_H192 ]. % 0.87/1.03 exact (zenon_H166 zenon_H161). % 0.87/1.03 exact (zenon_H192 zenon_H18e). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.87/1.03 exact (zenon_H160 zenon_H167). % 0.87/1.03 exact (zenon_H166 zenon_H161). % 0.87/1.03 (* end of lemma zenon_L117_ *) % 0.87/1.03 assert (zenon_L118_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33))))))\/(hskp19))) -> (~(c0_1 (a1870))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H193 zenon_H15f zenon_H161 zenon_H160 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_H62 zenon_H63 zenon_H64 zenon_H194 zenon_Hf3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H15e | zenon_intro zenon_H195 ]. % 0.87/1.03 apply (zenon_L90_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18b | zenon_intro zenon_Hf4 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H61 | zenon_intro zenon_H196 ]. % 0.87/1.03 apply (zenon_L28_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H84 | zenon_intro zenon_H19 ]. % 0.87/1.03 apply (zenon_L36_); trivial. % 0.87/1.03 apply (zenon_L117_); trivial. % 0.87/1.03 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.03 (* end of lemma zenon_L118_ *) % 0.87/1.03 assert (zenon_L119_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H194 zenon_H64 zenon_H63 zenon_H62 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H61 | zenon_intro zenon_H196 ]. % 0.87/1.03 apply (zenon_L28_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H84 | zenon_intro zenon_H19 ]. % 0.87/1.03 apply (zenon_L36_); trivial. % 0.87/1.03 apply (zenon_L9_); trivial. % 0.87/1.03 (* end of lemma zenon_L119_ *) % 0.87/1.03 assert (zenon_L120_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp6)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H157 zenon_H142 zenon_H1d zenon_H1c zenon_H1b zenon_H85 zenon_H86 zenon_H87 zenon_H62 zenon_H63 zenon_H64 zenon_H194 zenon_H94. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.03 apply (zenon_L75_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.03 apply (zenon_L119_); trivial. % 0.87/1.03 exact (zenon_H94 zenon_H95). % 0.87/1.03 (* end of lemma zenon_L120_ *) % 0.87/1.03 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33))))))\/(hskp19))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H44 zenon_H174 zenon_H142 zenon_H94 zenon_H15f zenon_H160 zenon_H161 zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H64 zenon_H63 zenon_H62 zenon_H193. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.03 apply (zenon_L118_); trivial. % 0.87/1.03 apply (zenon_L120_); trivial. % 0.87/1.03 (* end of lemma zenon_L121_ *) % 0.87/1.03 assert (zenon_L122_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H197 zenon_Ha zenon_H198 zenon_H199 zenon_H19a zenon_H19b. % 0.87/1.03 generalize (zenon_H197 (a1866)). zenon_intro zenon_H19c. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H19c); [ zenon_intro zenon_H9 | zenon_intro zenon_H19d ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.87/1.03 exact (zenon_H198 zenon_H19f). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.87/1.03 generalize (zenon_H199 (a1866)). zenon_intro zenon_H1a2. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a3 ]. % 0.87/1.03 exact (zenon_H9 zenon_Ha). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.87/1.03 exact (zenon_H19a zenon_H1a5). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H19f ]. % 0.87/1.04 exact (zenon_H1a1 zenon_H1a6). % 0.87/1.04 exact (zenon_H198 zenon_H19f). % 0.87/1.04 exact (zenon_H1a0 zenon_H19b). % 0.87/1.04 (* end of lemma zenon_L122_ *) % 0.87/1.04 assert (zenon_L123_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1a7 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_H96. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1a8 ]. % 0.87/1.04 apply (zenon_L51_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H197 | zenon_intro zenon_H97 ]. % 0.87/1.04 apply (zenon_L122_); trivial. % 0.87/1.04 exact (zenon_H96 zenon_H97). % 0.87/1.04 (* end of lemma zenon_L123_ *) % 0.87/1.04 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hf5 zenon_H1a9 zenon_H198 zenon_H19a zenon_H19b zenon_H1a7 zenon_H153 zenon_H96. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H199 | zenon_intro zenon_H1aa ]. % 0.87/1.04 apply (zenon_L123_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H154 | zenon_intro zenon_H97 ]. % 0.87/1.04 exact (zenon_H153 zenon_H154). % 0.87/1.04 exact (zenon_H96 zenon_H97). % 0.87/1.04 (* end of lemma zenon_L124_ *) % 0.87/1.04 assert (zenon_L125_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1ab zenon_H115 zenon_H1a9 zenon_H153 zenon_H96 zenon_H1a7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.04 apply (zenon_L47_); trivial. % 0.87/1.04 apply (zenon_L124_); trivial. % 0.87/1.04 (* end of lemma zenon_L125_ *) % 0.87/1.04 assert (zenon_L126_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> ((hskp25)\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1960))/\((c2_1 (a1960))/\(~(c0_1 (a1960))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H1a9 zenon_H1a7 zenon_H184 zenon_H182 zenon_H7f zenon_H7 zenon_H17 zenon_H126 zenon_H122 zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H10d zenon_H110 zenon_H114 zenon_H155 zenon_H153 zenon_H146 zenon_H142 zenon_H13f zenon_H129 zenon_H14c zenon_H174 zenon_H4a zenon_H16c zenon_H168 zenon_H16a zenon_H7e zenon_H172 zenon_H170 zenon_H185 zenon_H189 zenon_H194 zenon_H193 zenon_H1b0 zenon_H4d zenon_H1 zenon_Ha5 zenon_H96 zenon_H94 zenon_H5d zenon_Ha4 zenon_H45. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.04 apply (zenon_L44_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.04 apply (zenon_L114_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.04 apply (zenon_L116_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.04 apply (zenon_L118_); trivial. % 0.87/1.04 apply (zenon_L103_); trivial. % 0.87/1.04 apply (zenon_L121_); trivial. % 0.87/1.04 apply (zenon_L125_); trivial. % 0.87/1.04 (* end of lemma zenon_L126_ *) % 0.87/1.04 assert (zenon_L127_ : ((hskp10)\/((hskp28)\/(hskp0))) -> (~(hskp10)) -> (~(hskp28)) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b7 zenon_H4b zenon_He2 zenon_H29. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H4c | zenon_intro zenon_He5 ]. % 0.87/1.04 exact (zenon_H4b zenon_H4c). % 0.87/1.04 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He3 | zenon_intro zenon_H2a ]. % 0.87/1.04 exact (zenon_He2 zenon_He3). % 0.87/1.04 exact (zenon_H29 zenon_H2a). % 0.87/1.04 (* end of lemma zenon_L127_ *) % 0.87/1.04 assert (zenon_L128_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b8 zenon_Ha zenon_H1b9 zenon_H1ba zenon_H1bb. % 0.87/1.04 generalize (zenon_H1b8 (a1862)). zenon_intro zenon_H1bc. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bd ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.87/1.04 exact (zenon_H1b9 zenon_H1bf). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.87/1.04 exact (zenon_H1c1 zenon_H1ba). % 0.87/1.04 exact (zenon_H1c0 zenon_H1bb). % 0.87/1.04 (* end of lemma zenon_L128_ *) % 0.87/1.04 assert (zenon_L129_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1c2 zenon_Ha zenon_He7 zenon_He8 zenon_H101. % 0.87/1.04 generalize (zenon_H1c2 (a1878)). zenon_intro zenon_H1c3. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c4 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hee | zenon_intro zenon_H14a ]. % 0.87/1.04 exact (zenon_Hee zenon_He7). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hed | zenon_intro zenon_H14b ]. % 0.87/1.04 exact (zenon_Hed zenon_He8). % 0.87/1.04 exact (zenon_H14b zenon_H101). % 0.87/1.04 (* end of lemma zenon_L129_ *) % 0.87/1.04 assert (zenon_L130_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp10)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfe zenon_H1c5 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H4b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c6 ]. % 0.87/1.04 apply (zenon_L128_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H4c ]. % 0.87/1.04 apply (zenon_L129_); trivial. % 0.87/1.04 exact (zenon_H4b zenon_H4c). % 0.87/1.04 (* end of lemma zenon_L130_ *) % 0.87/1.04 assert (zenon_L131_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp10)) -> (~(hskp0)) -> ((hskp10)\/((hskp28)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hf7 zenon_H1c5 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H4b zenon_H29 zenon_H1b7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.04 apply (zenon_L127_); trivial. % 0.87/1.04 apply (zenon_L130_); trivial. % 0.87/1.04 (* end of lemma zenon_L131_ *) % 0.87/1.04 assert (zenon_L132_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp7)) -> (~(hskp1)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b1 zenon_H92 zenon_H8e zenon_H90. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_L39_); trivial. % 0.87/1.04 (* end of lemma zenon_L132_ *) % 0.87/1.04 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp1)) -> (~(hskp7)) -> ((hskp10)\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H92 zenon_H90 zenon_H8e zenon_H1b7 zenon_H29 zenon_H1c5 zenon_Hf7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.04 apply (zenon_L131_); trivial. % 0.87/1.04 apply (zenon_L132_); trivial. % 0.87/1.04 (* end of lemma zenon_L133_ *) % 0.87/1.04 assert (zenon_L134_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b0 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H79 zenon_H7e zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.04 apply (zenon_L27_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.04 apply (zenon_L35_); trivial. % 0.87/1.04 (* end of lemma zenon_L134_ *) % 0.87/1.04 assert (zenon_L135_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H16d zenon_H4a zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H2f zenon_H31 zenon_H46 zenon_H1 zenon_H17. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.04 apply (zenon_L19_); trivial. % 0.87/1.04 (* end of lemma zenon_L135_ *) % 0.87/1.04 assert (zenon_L136_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H2f zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.04 apply (zenon_L4_); trivial. % 0.87/1.04 apply (zenon_L135_); trivial. % 0.87/1.04 (* end of lemma zenon_L136_ *) % 0.87/1.04 assert (zenon_L137_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1864)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_H86 zenon_H33 zenon_H85 zenon_H87. % 0.87/1.04 generalize (zenon_Hd8 (a1864)). zenon_intro zenon_H1ca. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1ca); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cb ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 0.87/1.04 exact (zenon_H8d zenon_H86). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1cd | zenon_intro zenon_H8c ]. % 0.87/1.04 generalize (zenon_H33 (a1864)). zenon_intro zenon_H1ce. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cf ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H8b | zenon_intro zenon_H1d0 ]. % 0.87/1.04 exact (zenon_H85 zenon_H8b). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H8c ]. % 0.87/1.04 exact (zenon_H1cd zenon_H1d1). % 0.87/1.04 exact (zenon_H8c zenon_H87). % 0.87/1.04 exact (zenon_H8c zenon_H87). % 0.87/1.04 (* end of lemma zenon_L137_ *) % 0.87/1.04 assert (zenon_L138_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a1864)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1d2 zenon_H72 zenon_H71 zenon_H70 zenon_H87 zenon_H85 zenon_H33 zenon_H86 zenon_Ha zenon_H2b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H6f | zenon_intro zenon_H1d3 ]. % 0.87/1.04 apply (zenon_L31_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2c ]. % 0.87/1.04 apply (zenon_L137_); trivial. % 0.87/1.04 exact (zenon_H2b zenon_H2c). % 0.87/1.04 (* end of lemma zenon_L138_ *) % 0.87/1.04 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7b zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H33 | zenon_intro zenon_H7a ]. % 0.87/1.04 apply (zenon_L138_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6f | zenon_intro zenon_H32 ]. % 0.87/1.04 apply (zenon_L31_); trivial. % 0.87/1.04 exact (zenon_H31 zenon_H32). % 0.87/1.04 apply (zenon_L32_); trivial. % 0.87/1.04 (* end of lemma zenon_L139_ *) % 0.87/1.04 assert (zenon_L140_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_H15 zenon_H11f zenon_H170. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.04 apply (zenon_L101_); trivial. % 0.87/1.04 apply (zenon_L139_); trivial. % 0.87/1.04 (* end of lemma zenon_L140_ *) % 0.87/1.04 assert (zenon_L141_ : (forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1d4 zenon_Ha zenon_H1d zenon_H1b zenon_H1c. % 0.87/1.04 generalize (zenon_H1d4 (a1875)). zenon_intro zenon_H1d5. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d6 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H28 | zenon_intro zenon_H1d7 ]. % 0.87/1.04 exact (zenon_H1d zenon_H28). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H25 | zenon_intro zenon_H27 ]. % 0.87/1.04 exact (zenon_H25 zenon_H1b). % 0.87/1.04 exact (zenon_H27 zenon_H1c). % 0.87/1.04 (* end of lemma zenon_L141_ *) % 0.87/1.04 assert (zenon_L142_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c3_1 (a1875))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1d8 zenon_H83 zenon_H52 zenon_H50 zenon_H1c zenon_H1b zenon_H1d zenon_Ha zenon_Hb9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1d9 ]. % 0.87/1.04 apply (zenon_L87_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d4 | zenon_intro zenon_Hba ]. % 0.87/1.04 apply (zenon_L141_); trivial. % 0.87/1.04 exact (zenon_Hb9 zenon_Hba). % 0.87/1.04 (* end of lemma zenon_L142_ *) % 0.87/1.04 assert (zenon_L143_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp24)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2d zenon_He8 zenon_He7 zenon_H4f zenon_Ha zenon_H29 zenon_H2b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1a | zenon_intro zenon_H2e ]. % 0.87/1.04 apply (zenon_L60_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.87/1.04 exact (zenon_H29 zenon_H2a). % 0.87/1.04 exact (zenon_H2b zenon_H2c). % 0.87/1.04 (* end of lemma zenon_L143_ *) % 0.87/1.04 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp24)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd2 zenon_H2d zenon_H29 zenon_H2b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha. zenon_intro zenon_Hd4. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hc7. zenon_intro zenon_Hd5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1a | zenon_intro zenon_H2e ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.87/1.04 exact (zenon_H29 zenon_H2a). % 0.87/1.04 exact (zenon_H2b zenon_H2c). % 0.87/1.04 (* end of lemma zenon_L144_ *) % 0.87/1.04 assert (zenon_L145_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfe zenon_Hd7 zenon_H2d zenon_H2b zenon_H29 zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.87/1.04 apply (zenon_L143_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.87/1.04 apply (zenon_L77_); trivial. % 0.87/1.04 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.04 apply (zenon_L144_); trivial. % 0.87/1.04 (* end of lemma zenon_L145_ *) % 0.87/1.04 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H29 zenon_He4. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.04 apply (zenon_L58_); trivial. % 0.87/1.04 apply (zenon_L145_); trivial. % 0.87/1.04 (* end of lemma zenon_L146_ *) % 0.87/1.04 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H13f zenon_Hf1 zenon_H1da zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_H1d zenon_H1b zenon_H1c zenon_H1d8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.04 apply (zenon_L142_); trivial. % 0.87/1.04 apply (zenon_L146_); trivial. % 0.87/1.04 (* end of lemma zenon_L147_ *) % 0.87/1.04 assert (zenon_L148_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H13f zenon_Hf1 zenon_H1da zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_H1d zenon_H1b zenon_H1c zenon_H1d8 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.04 apply (zenon_L74_); trivial. % 0.87/1.04 apply (zenon_L147_); trivial. % 0.87/1.04 (* end of lemma zenon_L148_ *) % 0.87/1.04 assert (zenon_L149_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H80 zenon_H4a zenon_H126 zenon_H122 zenon_H40 zenon_H3d zenon_H129 zenon_H1d8 zenon_He4 zenon_H29 zenon_H1da zenon_H13f zenon_H2d zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H2f zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.04 apply (zenon_L140_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_L148_); trivial. % 0.87/1.04 apply (zenon_L17_); trivial. % 0.87/1.04 apply (zenon_L88_); trivial. % 0.87/1.04 apply (zenon_L71_); trivial. % 0.87/1.04 (* end of lemma zenon_L149_ *) % 0.87/1.04 assert (zenon_L150_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H2f zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a zenon_H16c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L136_); trivial. % 0.87/1.04 apply (zenon_L149_); trivial. % 0.87/1.04 (* end of lemma zenon_L150_ *) % 0.87/1.04 assert (zenon_L151_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd7 zenon_H2d zenon_H2b zenon_H29 zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H127 zenon_H168. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L91_); trivial. % 0.87/1.04 apply (zenon_L144_); trivial. % 0.87/1.04 (* end of lemma zenon_L151_ *) % 0.87/1.04 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp24)) -> (~(hskp0)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp20)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H141 zenon_H13f zenon_H2b zenon_H29 zenon_H1b zenon_H1c zenon_H1d zenon_H2d zenon_Hf1. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H19 | zenon_intro zenon_H140 ]. % 0.87/1.04 apply (zenon_L12_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H135 | zenon_intro zenon_Hf2 ]. % 0.87/1.04 apply (zenon_L76_); trivial. % 0.87/1.04 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.04 (* end of lemma zenon_L152_ *) % 0.87/1.04 assert (zenon_L153_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_H13f zenon_Hf1 zenon_H1b zenon_H1c zenon_H1d zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.04 apply (zenon_L151_); trivial. % 0.87/1.04 apply (zenon_L152_); trivial. % 0.87/1.04 (* end of lemma zenon_L153_ *) % 0.87/1.04 assert (zenon_L154_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_Hd7 zenon_H2d zenon_H29 zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H1d zenon_H1c zenon_H1b zenon_Hf1 zenon_H13f zenon_H146. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_L153_); trivial. % 0.87/1.04 apply (zenon_L17_); trivial. % 0.87/1.04 (* end of lemma zenon_L154_ *) % 0.87/1.04 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H175 zenon_H4a zenon_H126 zenon_H122 zenon_H146 zenon_H13f zenon_H168 zenon_H29 zenon_H2d zenon_Hd7 zenon_H3d zenon_H40 zenon_H170 zenon_H11f zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.04 apply (zenon_L140_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L154_); trivial. % 0.87/1.04 apply (zenon_L71_); trivial. % 0.87/1.04 (* end of lemma zenon_L155_ *) % 0.87/1.04 assert (zenon_L156_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H11f zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.04 apply (zenon_L150_); trivial. % 0.87/1.04 apply (zenon_L155_); trivial. % 0.87/1.04 (* end of lemma zenon_L156_ *) % 0.87/1.04 assert (zenon_L157_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H114 zenon_H155 zenon_H153 zenon_H151 zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H1 zenon_H189. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.04 apply (zenon_L115_); trivial. % 0.87/1.04 apply (zenon_L85_); trivial. % 0.87/1.04 (* end of lemma zenon_L157_ *) % 0.87/1.04 assert (zenon_L158_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.04 apply (zenon_L30_); trivial. % 0.87/1.04 apply (zenon_L139_); trivial. % 0.87/1.04 (* end of lemma zenon_L158_ *) % 0.87/1.04 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H121 zenon_H5f zenon_H1 zenon_H31. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H59 | zenon_intro zenon_H60 ]. % 0.87/1.04 apply (zenon_L69_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H2 | zenon_intro zenon_H32 ]. % 0.87/1.04 exact (zenon_H1 zenon_H2). % 0.87/1.04 exact (zenon_H31 zenon_H32). % 0.87/1.04 (* end of lemma zenon_L159_ *) % 0.87/1.04 assert (zenon_L160_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H44 zenon_H126 zenon_H45 zenon_H5f zenon_H31 zenon_H1 zenon_H5d zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H1d8 zenon_H83 zenon_H52 zenon_H50 zenon_He4 zenon_H29 zenon_H1da zenon_H13f zenon_H2d zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H2f zenon_H14c zenon_H115. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_L148_); trivial. % 0.87/1.04 apply (zenon_L25_); trivial. % 0.87/1.04 apply (zenon_L88_); trivial. % 0.87/1.04 apply (zenon_L159_); trivial. % 0.87/1.04 (* end of lemma zenon_L160_ *) % 0.87/1.04 assert (zenon_L161_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7f zenon_H4a zenon_H126 zenon_H5f zenon_H1 zenon_H5d zenon_H129 zenon_H1d8 zenon_He4 zenon_H29 zenon_H1da zenon_H13f zenon_H2d zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H2f zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L158_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.04 apply (zenon_L140_); trivial. % 0.87/1.04 apply (zenon_L160_); trivial. % 0.87/1.04 (* end of lemma zenon_L161_ *) % 0.87/1.04 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.04 apply (zenon_L112_); trivial. % 0.87/1.04 apply (zenon_L146_); trivial. % 0.87/1.04 (* end of lemma zenon_L162_ *) % 0.87/1.04 assert (zenon_L163_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.04 apply (zenon_L151_); trivial. % 0.87/1.04 apply (zenon_L162_); trivial. % 0.87/1.04 (* end of lemma zenon_L163_ *) % 0.87/1.04 assert (zenon_L164_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H29 zenon_H2d zenon_Hd7 zenon_H5d zenon_H1 zenon_H52 zenon_H50 zenon_H31 zenon_H5f zenon_H45. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_L163_); trivial. % 0.87/1.04 apply (zenon_L25_); trivial. % 0.87/1.04 apply (zenon_L139_); trivial. % 0.87/1.04 (* end of lemma zenon_L164_ *) % 0.87/1.04 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H44 zenon_H126 zenon_H45 zenon_H5f zenon_H31 zenon_H50 zenon_H52 zenon_H1 zenon_H5d zenon_Hd7 zenon_H2d zenon_H29 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_He4 zenon_H1da zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L164_); trivial. % 0.87/1.04 apply (zenon_L159_); trivial. % 0.87/1.04 (* end of lemma zenon_L165_ *) % 0.87/1.04 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H186 zenon_H185 zenon_H168 zenon_H182 zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_H62 zenon_H63 zenon_H64 zenon_H6d zenon_H11f zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H13f zenon_H1da zenon_H29 zenon_He4 zenon_H1d8 zenon_H129 zenon_H5d zenon_H1 zenon_H5f zenon_H126 zenon_H4a zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.04 apply (zenon_L161_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L158_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.04 apply (zenon_L140_); trivial. % 0.87/1.04 apply (zenon_L165_); trivial. % 0.87/1.04 (* end of lemma zenon_L166_ *) % 0.87/1.04 assert (zenon_L167_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b4 zenon_H184 zenon_H185 zenon_H168 zenon_H182 zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_H6d zenon_H11f zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H13f zenon_H1da zenon_H29 zenon_He4 zenon_H1d8 zenon_H129 zenon_H5d zenon_H5f zenon_H126 zenon_H4a zenon_H7f zenon_H189 zenon_H1 zenon_H153 zenon_H155 zenon_H114. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.04 apply (zenon_L157_); trivial. % 0.87/1.04 apply (zenon_L166_); trivial. % 0.87/1.04 (* end of lemma zenon_L167_ *) % 0.87/1.04 assert (zenon_L168_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b0 zenon_H184 zenon_H182 zenon_H6d zenon_H5d zenon_H5f zenon_H189 zenon_H153 zenon_H155 zenon_H114 zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H168 zenon_H185. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.04 apply (zenon_L156_); trivial. % 0.87/1.04 apply (zenon_L167_); trivial. % 0.87/1.04 (* end of lemma zenon_L168_ *) % 0.87/1.04 assert (zenon_L169_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (~(hskp9)) -> (~(hskp13)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H40 zenon_H87 zenon_H85 zenon_H86 zenon_Ha zenon_Hd8 zenon_H31 zenon_H3d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H33 | zenon_intro zenon_H43 ]. % 0.87/1.04 apply (zenon_L137_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H32 | zenon_intro zenon_H3e ]. % 0.87/1.04 exact (zenon_H31 zenon_H32). % 0.87/1.04 exact (zenon_H3d zenon_H3e). % 0.87/1.04 (* end of lemma zenon_L169_ *) % 0.87/1.04 assert (zenon_L170_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (~(hskp13)) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp16)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1dc zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_H3d zenon_H31 zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H40 zenon_H5. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L122_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.87/1.04 apply (zenon_L169_); trivial. % 0.87/1.04 exact (zenon_H5 zenon_H6). % 0.87/1.04 (* end of lemma zenon_L170_ *) % 0.87/1.04 assert (zenon_L171_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H198 zenon_H199 zenon_H19a zenon_H19b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.04 apply (zenon_L87_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.04 apply (zenon_L36_); trivial. % 0.87/1.04 apply (zenon_L122_); trivial. % 0.87/1.04 (* end of lemma zenon_L171_ *) % 0.87/1.04 assert (zenon_L172_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H80 zenon_H1a9 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H153 zenon_H96. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H199 | zenon_intro zenon_H1aa ]. % 0.87/1.04 apply (zenon_L171_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H154 | zenon_intro zenon_H97 ]. % 0.87/1.04 exact (zenon_H153 zenon_H154). % 0.87/1.04 exact (zenon_H96 zenon_H97). % 0.87/1.04 (* end of lemma zenon_L172_ *) % 0.87/1.04 assert (zenon_L173_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H80 zenon_H7e zenon_H1d2 zenon_H79 zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H2d zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H5d zenon_H1 zenon_H31 zenon_H5f zenon_H45. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.04 apply (zenon_L112_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.04 apply (zenon_L58_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.87/1.04 apply (zenon_L171_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.87/1.04 apply (zenon_L143_); trivial. % 0.87/1.04 apply (zenon_L111_); trivial. % 0.87/1.04 apply (zenon_L25_); trivial. % 0.87/1.04 apply (zenon_L139_); trivial. % 0.87/1.04 (* end of lemma zenon_L173_ *) % 0.87/1.04 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H186 zenon_H7f zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H2d zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H182 zenon_H5d zenon_H1 zenon_H5f zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L158_); trivial. % 0.87/1.04 apply (zenon_L173_); trivial. % 0.87/1.04 (* end of lemma zenon_L174_ *) % 0.87/1.04 assert (zenon_L175_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b4 zenon_H184 zenon_H7f zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H2d zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H182 zenon_H5d zenon_H5f zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e zenon_H189 zenon_H1 zenon_H153 zenon_H155 zenon_H114. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.04 apply (zenon_L157_); trivial. % 0.87/1.04 apply (zenon_L174_); trivial. % 0.87/1.04 (* end of lemma zenon_L175_ *) % 0.87/1.04 assert (zenon_L176_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1ab zenon_H1b0 zenon_H184 zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H2d zenon_H29 zenon_He4 zenon_H182 zenon_H5d zenon_H5f zenon_H6d zenon_H79 zenon_H1d2 zenon_H45 zenon_H7e zenon_H189 zenon_H1 zenon_H155 zenon_H114 zenon_H1a9 zenon_H96 zenon_H153 zenon_H40 zenon_H31 zenon_H87 zenon_H85 zenon_H86 zenon_H1dc zenon_H1de zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H199 | zenon_intro zenon_H1aa ]. % 0.87/1.04 apply (zenon_L170_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H154 | zenon_intro zenon_H97 ]. % 0.87/1.04 exact (zenon_H153 zenon_H154). % 0.87/1.04 exact (zenon_H96 zenon_H97). % 0.87/1.04 apply (zenon_L172_); trivial. % 0.87/1.04 apply (zenon_L175_); trivial. % 0.87/1.04 (* end of lemma zenon_L176_ *) % 0.87/1.04 assert (zenon_L177_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H1e0 zenon_H1a9 zenon_H96 zenon_H1dc zenon_H1de zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H2d zenon_H29 zenon_H46 zenon_H17 zenon_H7 zenon_H1d2 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H114 zenon_H155 zenon_H153 zenon_H189 zenon_H182 zenon_H184 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H1b0. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.04 apply (zenon_L134_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.87/1.04 apply (zenon_L168_); trivial. % 0.87/1.04 apply (zenon_L176_); trivial. % 0.87/1.04 (* end of lemma zenon_L177_ *) % 0.87/1.04 assert (zenon_L178_ : (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c1_1 (a1862)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H19 zenon_Ha zenon_H1b9 zenon_H197 zenon_H1bb. % 0.87/1.04 generalize (zenon_H19 (a1862)). zenon_intro zenon_H1e2. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e3 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1e4 ]. % 0.87/1.04 exact (zenon_H1b9 zenon_H1bf). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1c0 ]. % 0.87/1.04 generalize (zenon_H197 (a1862)). zenon_intro zenon_H1e6. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1e6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e7 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1e8 ]. % 0.87/1.04 exact (zenon_H1b9 zenon_H1bf). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1e9 ]. % 0.87/1.04 exact (zenon_H1c0 zenon_H1bb). % 0.87/1.04 exact (zenon_H1e9 zenon_H1e5). % 0.87/1.04 exact (zenon_H1c0 zenon_H1bb). % 0.87/1.04 (* end of lemma zenon_L178_ *) % 0.87/1.04 assert (zenon_L179_ : ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (~(c2_1 (a1862))) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H13f zenon_H1bb zenon_H197 zenon_H1b9 zenon_H138 zenon_H137 zenon_H136 zenon_Ha zenon_Hf1. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H19 | zenon_intro zenon_H140 ]. % 0.87/1.04 apply (zenon_L178_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H135 | zenon_intro zenon_Hf2 ]. % 0.87/1.04 apply (zenon_L76_); trivial. % 0.87/1.04 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.04 (* end of lemma zenon_L179_ *) % 0.87/1.04 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp20)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H141 zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_Hf1 zenon_H1b9 zenon_H1bb zenon_H13f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.87/1.04 apply (zenon_L31_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.87/1.04 apply (zenon_L179_); trivial. % 0.87/1.04 apply (zenon_L76_); trivial. % 0.87/1.04 (* end of lemma zenon_L180_ *) % 0.87/1.04 assert (zenon_L181_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_Hf1 zenon_H13f zenon_H72 zenon_H71 zenon_H70 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.04 apply (zenon_L74_); trivial. % 0.87/1.04 apply (zenon_L180_); trivial. % 0.87/1.04 (* end of lemma zenon_L181_ *) % 0.87/1.04 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7b zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H146. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.04 apply (zenon_L181_); trivial. % 0.87/1.04 apply (zenon_L64_); trivial. % 0.87/1.04 (* end of lemma zenon_L182_ *) % 0.87/1.04 assert (zenon_L183_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7e zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H146 zenon_H15 zenon_H11f zenon_H170. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.04 apply (zenon_L101_); trivial. % 0.87/1.04 apply (zenon_L182_); trivial. % 0.87/1.04 (* end of lemma zenon_L183_ *) % 0.87/1.04 assert (zenon_L184_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> (c3_1 (a1861)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H178 zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.87/1.04 generalize (zenon_H178 (a1861)). zenon_intro zenon_H1ef. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f0 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.87/1.04 exact (zenon_H1ec zenon_H1f2). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f3 ]. % 0.87/1.04 exact (zenon_H1f4 zenon_H1ed). % 0.87/1.04 exact (zenon_H1f3 zenon_H1ee). % 0.87/1.04 (* end of lemma zenon_L184_ *) % 0.87/1.04 assert (zenon_L185_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a1861))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hbd zenon_Ha zenon_H1f5 zenon_H178 zenon_H1ec zenon_H1ed. % 0.87/1.04 generalize (zenon_Hbd (a1861)). zenon_intro zenon_H1f6. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f7 ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 0.87/1.04 exact (zenon_H1f5 zenon_H1f9). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f4 ]. % 0.87/1.04 apply (zenon_L184_); trivial. % 0.87/1.04 exact (zenon_H1f4 zenon_H1ed). % 0.87/1.04 (* end of lemma zenon_L185_ *) % 0.87/1.04 assert (zenon_L186_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (~(hskp27)) -> (~(hskp22)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_Ha zenon_Hbd zenon_Hb9 zenon_H6b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 0.87/1.04 apply (zenon_L185_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hba | zenon_intro zenon_H6c ]. % 0.87/1.04 exact (zenon_Hb9 zenon_Hba). % 0.87/1.04 exact (zenon_H6b zenon_H6c). % 0.87/1.04 (* end of lemma zenon_L186_ *) % 0.87/1.04 assert (zenon_L187_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp22)) -> (~(hskp27)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp21)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd3 zenon_H6b zenon_Hb9 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_Hf1 zenon_Ha zenon_H136 zenon_H137 zenon_H138 zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_Hd0. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hd6 ]. % 0.87/1.04 apply (zenon_L186_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H1a | zenon_intro zenon_Hd1 ]. % 0.87/1.04 apply (zenon_L77_); trivial. % 0.87/1.04 exact (zenon_Hd0 zenon_Hd1). % 0.87/1.04 (* end of lemma zenon_L187_ *) % 0.87/1.04 assert (zenon_L188_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_H147 zenon_He8 zenon_H101. % 0.87/1.04 generalize (zenon_Hd8 (a1878)). zenon_intro zenon_H1fa. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H1fa); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fb ]. % 0.87/1.04 exact (zenon_H9 zenon_Ha). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L80_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hed | zenon_intro zenon_H14b ]. % 0.87/1.04 exact (zenon_Hed zenon_He8). % 0.87/1.04 exact (zenon_H14b zenon_H101). % 0.87/1.04 (* end of lemma zenon_L188_ *) % 0.87/1.04 assert (zenon_L189_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1dc zenon_H1bb zenon_H1b9 zenon_H19 zenon_H101 zenon_He8 zenon_H147 zenon_Ha zenon_H5. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L178_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.87/1.04 apply (zenon_L188_); trivial. % 0.87/1.04 exact (zenon_H5 zenon_H6). % 0.87/1.04 (* end of lemma zenon_L189_ *) % 0.87/1.04 assert (zenon_L190_ : ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp16)) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1fc zenon_H5 zenon_H147 zenon_He8 zenon_H101 zenon_H1dc zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1d zenon_H1b zenon_H1c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H19 | zenon_intro zenon_H1fd ]. % 0.87/1.04 apply (zenon_L189_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1d4 ]. % 0.87/1.04 apply (zenon_L128_); trivial. % 0.87/1.04 apply (zenon_L141_); trivial. % 0.87/1.04 (* end of lemma zenon_L190_ *) % 0.87/1.04 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c3_1 (a1875))) -> (c0_1 (a1862)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(hskp20)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfe zenon_H1de zenon_H1c zenon_H1b zenon_H1d zenon_H1ba zenon_H1dc zenon_H5 zenon_H1fc zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H138 zenon_H137 zenon_H136 zenon_Hf1. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.04 apply (zenon_L190_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.04 apply (zenon_L36_); trivial. % 0.87/1.04 apply (zenon_L179_); trivial. % 0.87/1.04 (* end of lemma zenon_L191_ *) % 0.87/1.04 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H1de zenon_H136 zenon_H137 zenon_H138 zenon_Hf1 zenon_H13f zenon_H87 zenon_H86 zenon_H85 zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1d zenon_H1b zenon_H1c zenon_H1fc zenon_H29 zenon_He4. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.04 apply (zenon_L58_); trivial. % 0.87/1.04 apply (zenon_L191_); trivial. % 0.87/1.04 (* end of lemma zenon_L192_ *) % 0.87/1.04 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1fc zenon_H29 zenon_He4 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_Hd0 zenon_Hd3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.04 apply (zenon_L187_); trivial. % 0.87/1.04 apply (zenon_L192_); trivial. % 0.87/1.04 (* end of lemma zenon_L193_ *) % 0.87/1.04 assert (zenon_L194_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1fc zenon_H29 zenon_He4 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_Hd0 zenon_Hd3 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.04 apply (zenon_L74_); trivial. % 0.87/1.04 apply (zenon_L193_); trivial. % 0.87/1.04 (* end of lemma zenon_L194_ *) % 0.87/1.04 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf7 zenon_H14c zenon_H2f zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1d zenon_H1b zenon_H1c zenon_H1fc zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L55_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H147 | zenon_intro zenon_H14d ]. % 0.87/1.05 apply (zenon_L190_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hbd | zenon_intro zenon_H30 ]. % 0.87/1.05 apply (zenon_L51_); trivial. % 0.87/1.05 exact (zenon_H2f zenon_H30). % 0.87/1.05 (* end of lemma zenon_L195_ *) % 0.87/1.05 assert (zenon_L196_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H115 zenon_H14c zenon_H2f zenon_Hbb zenon_H90 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd3 zenon_Hd0 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H6b zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_L194_); trivial. % 0.87/1.05 apply (zenon_L195_); trivial. % 0.87/1.05 (* end of lemma zenon_L196_ *) % 0.87/1.05 assert (zenon_L197_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H114 zenon_H16a zenon_H3d zenon_H115 zenon_H14c zenon_H2f zenon_Hbb zenon_H90 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd3 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H1ea zenon_H7e. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L196_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_L181_); trivial. % 0.87/1.05 apply (zenon_L195_); trivial. % 0.87/1.05 apply (zenon_L96_); trivial. % 0.87/1.05 (* end of lemma zenon_L197_ *) % 0.87/1.05 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H44 zenon_H126 zenon_H122 zenon_H11f zenon_H7e zenon_H1ea zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1fc zenon_H29 zenon_He4 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hd3 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_H90 zenon_Hbb zenon_H2f zenon_H14c zenon_H115 zenon_H3d zenon_H16a zenon_H114. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L197_); trivial. % 0.87/1.05 apply (zenon_L71_); trivial. % 0.87/1.05 (* end of lemma zenon_L198_ *) % 0.87/1.05 assert (zenon_L199_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H4a zenon_H1de zenon_H1dc zenon_H5 zenon_H1ba zenon_H1fc zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H14c zenon_H16a zenon_H126 zenon_H122 zenon_H3d zenon_H7e zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H146 zenon_H11f zenon_H170 zenon_H2f zenon_H10d zenon_H110 zenon_H114 zenon_H172 zenon_H174. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_L183_); trivial. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_L71_); trivial. % 0.87/1.05 apply (zenon_L103_); trivial. % 0.87/1.05 apply (zenon_L198_); trivial. % 0.87/1.05 (* end of lemma zenon_L199_ *) % 0.87/1.05 assert (zenon_L200_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (~(hskp18)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H174 zenon_H172 zenon_H10d zenon_H114 zenon_H16a zenon_H3d zenon_H5 zenon_H170 zenon_H11f zenon_H15 zenon_H146 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_H13f zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H7e zenon_H122 zenon_H126. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_L183_); trivial. % 0.87/1.05 apply (zenon_L96_); trivial. % 0.87/1.05 apply (zenon_L71_); trivial. % 0.87/1.05 apply (zenon_L103_); trivial. % 0.87/1.05 (* end of lemma zenon_L200_ *) % 0.87/1.05 assert (zenon_L201_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H115 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd3 zenon_Hd0 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H6b zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_L194_); trivial. % 0.87/1.05 apply (zenon_L94_); trivial. % 0.87/1.05 (* end of lemma zenon_L201_ *) % 0.87/1.05 assert (zenon_L202_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H175 zenon_H7f zenon_H174 zenon_H172 zenon_H10d zenon_H114 zenon_H16a zenon_H3d zenon_H170 zenon_H11f zenon_H146 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_H13f zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H7e zenon_H122 zenon_H126 zenon_H1de zenon_H1dc zenon_H1ba zenon_H1fc zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H168 zenon_H94 zenon_H142 zenon_H4a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.05 apply (zenon_L200_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L201_); trivial. % 0.87/1.05 apply (zenon_L182_); trivial. % 0.87/1.05 apply (zenon_L96_); trivial. % 0.87/1.05 apply (zenon_L71_); trivial. % 0.87/1.05 apply (zenon_L108_); trivial. % 0.87/1.05 apply (zenon_L109_); trivial. % 0.87/1.05 (* end of lemma zenon_L202_ *) % 0.87/1.05 assert (zenon_L203_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))) -> (ndr1_0) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H1bb zenon_H1b9 zenon_H19 zenon_Ha zenon_H136 zenon_H137 zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.87/1.05 apply (zenon_L31_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.87/1.05 apply (zenon_L178_); trivial. % 0.87/1.05 apply (zenon_L76_); trivial. % 0.87/1.05 (* end of lemma zenon_L203_ *) % 0.87/1.05 assert (zenon_L204_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H141 zenon_H194 zenon_H64 zenon_H63 zenon_H62 zenon_H87 zenon_H86 zenon_H85 zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H1bb zenon_H1b9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H61 | zenon_intro zenon_H196 ]. % 0.87/1.05 apply (zenon_L28_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H84 | zenon_intro zenon_H19 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L203_); trivial. % 0.87/1.05 (* end of lemma zenon_L204_ *) % 0.87/1.05 assert (zenon_L205_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H146 zenon_H194 zenon_H70 zenon_H71 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H1ea zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.05 apply (zenon_L74_); trivial. % 0.87/1.05 apply (zenon_L204_); trivial. % 0.87/1.05 (* end of lemma zenon_L205_ *) % 0.87/1.05 assert (zenon_L206_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c1_1 (a1862)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H194 zenon_H64 zenon_H63 zenon_H62 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H1b9 zenon_H197 zenon_H1bb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H61 | zenon_intro zenon_H196 ]. % 0.87/1.05 apply (zenon_L28_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H84 | zenon_intro zenon_H19 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L178_); trivial. % 0.87/1.05 (* end of lemma zenon_L206_ *) % 0.87/1.05 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H1de zenon_H62 zenon_H63 zenon_H64 zenon_H85 zenon_H86 zenon_H87 zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H194 zenon_H29 zenon_He4. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H61 | zenon_intro zenon_H196 ]. % 0.87/1.05 apply (zenon_L28_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H84 | zenon_intro zenon_H19 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L189_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L206_); trivial. % 0.87/1.05 (* end of lemma zenon_L207_ *) % 0.87/1.05 assert (zenon_L208_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H80 zenon_H1de zenon_H194 zenon_H64 zenon_H63 zenon_H62 zenon_H87 zenon_H86 zenon_H85 zenon_H1b9 zenon_H1bb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.05 apply (zenon_L87_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L206_); trivial. % 0.87/1.05 (* end of lemma zenon_L208_ *) % 0.87/1.05 assert (zenon_L209_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H157 zenon_H7e zenon_H172 zenon_H10d zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L30_); trivial. % 0.87/1.05 apply (zenon_L102_); trivial. % 0.87/1.05 (* end of lemma zenon_L209_ *) % 0.87/1.05 assert (zenon_L210_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c1_1 X33))\/(~(c2_1 X33))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H193 zenon_H172 zenon_H174 zenon_H4a zenon_H6d zenon_H1fc zenon_H1ba zenon_H14c zenon_H7e zenon_H115 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H1dc zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H1ea zenon_H1bb zenon_H1b9 zenon_H194 zenon_H146 zenon_H11f zenon_H170 zenon_H10d zenon_H110 zenon_H114 zenon_H7f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L101_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_L205_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L55_); trivial. % 0.87/1.05 apply (zenon_L207_); trivial. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L30_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_L205_); trivial. % 0.87/1.05 apply (zenon_L195_); trivial. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_L208_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_L118_); trivial. % 0.87/1.05 apply (zenon_L209_); trivial. % 0.87/1.05 apply (zenon_L208_); trivial. % 0.87/1.05 (* end of lemma zenon_L210_ *) % 0.87/1.05 assert (zenon_L211_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> (~(hskp27)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hd7 zenon_H2d zenon_H2b zenon_H29 zenon_Hb9 zenon_H90 zenon_Hbb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L50_); trivial. % 0.87/1.05 apply (zenon_L144_); trivial. % 0.87/1.05 (* end of lemma zenon_L211_ *) % 0.87/1.05 assert (zenon_L212_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp24)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp20)) -> (~(hskp19)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfe zenon_Hf8 zenon_H2b zenon_H29 zenon_H2d zenon_Hf1 zenon_Hf3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H4f | zenon_intro zenon_H102 ]. % 0.87/1.05 apply (zenon_L143_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.87/1.05 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.05 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.05 (* end of lemma zenon_L212_ *) % 0.87/1.05 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H2b zenon_H2d zenon_H29 zenon_He4. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_L212_); trivial. % 0.87/1.05 (* end of lemma zenon_L213_ *) % 0.87/1.05 assert (zenon_L214_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L211_); trivial. % 0.87/1.05 apply (zenon_L213_); trivial. % 0.87/1.05 (* end of lemma zenon_L214_ *) % 0.87/1.05 assert (zenon_L215_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp22)) -> (~(hskp27)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1a7 zenon_H6b zenon_Hb9 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_H96. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1a8 ]. % 0.87/1.05 apply (zenon_L186_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H197 | zenon_intro zenon_H97 ]. % 0.87/1.05 apply (zenon_L122_); trivial. % 0.87/1.05 exact (zenon_H96 zenon_H97). % 0.87/1.05 (* end of lemma zenon_L215_ *) % 0.87/1.05 assert (zenon_L216_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (~(hskp27)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1a9 zenon_Ha zenon_H198 zenon_H19a zenon_H19b zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_Hb9 zenon_H6b zenon_H1a7 zenon_H153 zenon_H96. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H199 | zenon_intro zenon_H1aa ]. % 0.87/1.05 apply (zenon_L215_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H154 | zenon_intro zenon_H97 ]. % 0.87/1.05 exact (zenon_H153 zenon_H154). % 0.87/1.05 exact (zenon_H96 zenon_H97). % 0.87/1.05 (* end of lemma zenon_L216_ *) % 0.87/1.05 assert (zenon_L217_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1dc zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_H101 zenon_He8 zenon_H147 zenon_Ha zenon_H5. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.87/1.05 apply (zenon_L122_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.87/1.05 apply (zenon_L188_); trivial. % 0.87/1.05 exact (zenon_H5 zenon_H6). % 0.87/1.05 (* end of lemma zenon_L217_ *) % 0.87/1.05 assert (zenon_L218_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp16)) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1de zenon_H5 zenon_He8 zenon_H101 zenon_H1dc zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H198 zenon_H199 zenon_H19a zenon_H19b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.05 apply (zenon_L217_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.05 apply (zenon_L36_); trivial. % 0.87/1.05 apply (zenon_L122_); trivial. % 0.87/1.05 (* end of lemma zenon_L218_ *) % 0.87/1.05 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H1fe zenon_H90 zenon_H36 zenon_H35 zenon_H34 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H199 | zenon_intro zenon_H1ff ]. % 0.87/1.05 apply (zenon_L218_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H33 | zenon_intro zenon_H91 ]. % 0.87/1.05 apply (zenon_L15_); trivial. % 0.87/1.05 exact (zenon_H90 zenon_H91). % 0.87/1.05 (* end of lemma zenon_L219_ *) % 0.87/1.05 assert (zenon_L220_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hf7 zenon_H1fe zenon_H90 zenon_H1dc zenon_H5 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4 zenon_H1a7 zenon_H96 zenon_H19b zenon_H19a zenon_H198 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H6b zenon_H182 zenon_H153 zenon_H1a9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L216_); trivial. % 0.87/1.05 apply (zenon_L219_); trivial. % 0.87/1.05 (* end of lemma zenon_L220_ *) % 0.87/1.05 assert (zenon_L221_ : (forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H135 zenon_Ha zenon_H4f zenon_He7 zenon_He8 zenon_H101. % 0.87/1.05 generalize (zenon_H135 (a1878)). zenon_intro zenon_H14e. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H9 | zenon_intro zenon_H14f ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_He6 | zenon_intro zenon_H150 ]. % 0.87/1.05 apply (zenon_L59_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hee | zenon_intro zenon_H14b ]. % 0.87/1.05 exact (zenon_Hee zenon_He7). % 0.87/1.05 exact (zenon_H14b zenon_H101). % 0.87/1.05 (* end of lemma zenon_L221_ *) % 0.87/1.05 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp20)) -> (~(hskp19)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfe zenon_Hf8 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H138 zenon_H137 zenon_H136 zenon_H70 zenon_H71 zenon_H72 zenon_H1ea zenon_Hf1 zenon_Hf3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H4f | zenon_intro zenon_H102 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.87/1.05 apply (zenon_L31_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.87/1.05 apply (zenon_L179_); trivial. % 0.87/1.05 apply (zenon_L221_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.87/1.05 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.05 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.05 (* end of lemma zenon_L222_ *) % 0.87/1.05 assert (zenon_L223_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H70 zenon_H71 zenon_H72 zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H29 zenon_He4. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_L222_); trivial. % 0.87/1.05 (* end of lemma zenon_L223_ *) % 0.87/1.05 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H70 zenon_H71 zenon_H72 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L211_); trivial. % 0.87/1.05 apply (zenon_L223_); trivial. % 0.87/1.05 (* end of lemma zenon_L224_ *) % 0.87/1.05 assert (zenon_L225_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_H136 zenon_H137 zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.87/1.05 apply (zenon_L31_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.87/1.05 apply (zenon_L122_); trivial. % 0.87/1.05 apply (zenon_L76_); trivial. % 0.87/1.05 (* end of lemma zenon_L225_ *) % 0.87/1.05 assert (zenon_L226_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H3f zenon_H146 zenon_H1fe zenon_H90 zenon_H70 zenon_H71 zenon_H72 zenon_H198 zenon_H19a zenon_H19b zenon_H1ea zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.05 apply (zenon_L74_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H199 | zenon_intro zenon_H1ff ]. % 0.87/1.05 apply (zenon_L225_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H33 | zenon_intro zenon_H91 ]. % 0.87/1.05 apply (zenon_L15_); trivial. % 0.87/1.05 exact (zenon_H90 zenon_H91). % 0.87/1.05 (* end of lemma zenon_L226_ *) % 0.87/1.05 assert (zenon_L227_ : (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (~(c1_1 (a1877))) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H84 zenon_Ha zenon_H200 zenon_Hd9 zenon_Hdb. % 0.87/1.05 generalize (zenon_H84 (a1877)). zenon_intro zenon_H201. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_H9 | zenon_intro zenon_H202 ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ]. % 0.87/1.05 exact (zenon_H200 zenon_H204). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_Hdf | zenon_intro zenon_He0 ]. % 0.87/1.05 exact (zenon_Hdf zenon_Hd9). % 0.87/1.05 exact (zenon_He0 zenon_Hdb). % 0.87/1.05 (* end of lemma zenon_L227_ *) % 0.87/1.05 assert (zenon_L228_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1877)) -> (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1a zenon_Ha zenon_Hd9 zenon_H84 zenon_Hdb zenon_Hda. % 0.87/1.05 generalize (zenon_H1a (a1877)). zenon_intro zenon_H205. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H9 | zenon_intro zenon_H206 ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Hdf | zenon_intro zenon_H207 ]. % 0.87/1.05 exact (zenon_Hdf zenon_Hd9). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H200 | zenon_intro zenon_He1 ]. % 0.87/1.05 apply (zenon_L227_); trivial. % 0.87/1.05 exact (zenon_He1 zenon_Hda). % 0.87/1.05 (* end of lemma zenon_L228_ *) % 0.87/1.05 assert (zenon_L229_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp16)) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1877)) -> (c3_1 (a1877)) -> (c0_1 (a1877)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1de zenon_H5 zenon_He8 zenon_H101 zenon_H1dc zenon_Hda zenon_Hdb zenon_Hd9 zenon_H1a zenon_Ha zenon_H198 zenon_H199 zenon_H19a zenon_H19b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.05 apply (zenon_L217_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.05 apply (zenon_L228_); trivial. % 0.87/1.05 apply (zenon_L122_); trivial. % 0.87/1.05 (* end of lemma zenon_L229_ *) % 0.87/1.05 assert (zenon_L230_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp24)) -> (~(hskp0)) -> (c1_1 (a1878)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp29)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1da zenon_H2b zenon_H29 zenon_He7 zenon_H2d zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H1dc zenon_H101 zenon_He8 zenon_H5 zenon_H1de zenon_Hb7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.87/1.05 apply (zenon_L143_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.87/1.05 apply (zenon_L229_); trivial. % 0.87/1.05 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.05 (* end of lemma zenon_L230_ *) % 0.87/1.05 assert (zenon_L231_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H116 zenon_H117 zenon_H118 zenon_H208 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L211_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.05 apply (zenon_L230_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.05 apply (zenon_L69_); trivial. % 0.87/1.05 exact (zenon_H29 zenon_H2a). % 0.87/1.05 apply (zenon_L144_); trivial. % 0.87/1.05 (* end of lemma zenon_L231_ *) % 0.87/1.05 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp5)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (c2_1 (a1890)) -> (~(c1_1 (a1890))) -> (~(c0_1 (a1890))) -> (~(hskp0)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf5 zenon_H208 zenon_H96 zenon_H198 zenon_H19a zenon_H19b zenon_H1a7 zenon_H118 zenon_H117 zenon_H116 zenon_H29. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.05 apply (zenon_L123_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.05 apply (zenon_L69_); trivial. % 0.87/1.05 exact (zenon_H29 zenon_H2a). % 0.87/1.05 (* end of lemma zenon_L232_ *) % 0.87/1.05 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H7b zenon_H115 zenon_H96 zenon_H1a7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H1ea zenon_H19b zenon_H19a zenon_H198 zenon_H116 zenon_H117 zenon_H118 zenon_H29 zenon_H208 zenon_H146. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.05 apply (zenon_L74_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.05 apply (zenon_L225_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.05 apply (zenon_L69_); trivial. % 0.87/1.05 exact (zenon_H29 zenon_H2a). % 0.87/1.05 apply (zenon_L232_); trivial. % 0.87/1.05 (* end of lemma zenon_L233_ *) % 0.87/1.05 assert (zenon_L234_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H121 zenon_H7e zenon_H115 zenon_H129 zenon_H1ea zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H208 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_H1a9 zenon_H153 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H96 zenon_H1a7 zenon_H87 zenon_H86 zenon_H85 zenon_H1fe zenon_H45. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.05 apply (zenon_L231_); trivial. % 0.87/1.05 apply (zenon_L220_); trivial. % 0.87/1.05 apply (zenon_L233_); trivial. % 0.87/1.05 (* end of lemma zenon_L234_ *) % 0.87/1.05 assert (zenon_L235_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp6)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H1dc zenon_H101 zenon_He8 zenon_H5 zenon_H1de zenon_H94. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.05 apply (zenon_L75_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.05 apply (zenon_L229_); trivial. % 0.87/1.05 exact (zenon_H94 zenon_H95). % 0.87/1.05 (* end of lemma zenon_L235_ *) % 0.87/1.05 assert (zenon_L236_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_He8 zenon_He7 zenon_H4f zenon_Ha zenon_H94. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.05 apply (zenon_L75_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.05 apply (zenon_L60_); trivial. % 0.87/1.05 exact (zenon_H94 zenon_H95). % 0.87/1.05 (* end of lemma zenon_L236_ *) % 0.87/1.05 assert (zenon_L237_ : (forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a1862)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H6f zenon_Ha zenon_H1b9 zenon_H178 zenon_H1ba. % 0.87/1.05 generalize (zenon_H6f (a1862)). zenon_intro zenon_H20a. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_H9 | zenon_intro zenon_H20b ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1bf | zenon_intro zenon_H20c ]. % 0.87/1.05 exact (zenon_H1b9 zenon_H1bf). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1c1 ]. % 0.87/1.05 generalize (zenon_H178 (a1862)). zenon_intro zenon_H20d. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H9 | zenon_intro zenon_H20e ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H20f ]. % 0.87/1.05 exact (zenon_H1b9 zenon_H1bf). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1e9 ]. % 0.87/1.05 exact (zenon_H1c1 zenon_H1ba). % 0.87/1.05 exact (zenon_H1e9 zenon_H1e5). % 0.87/1.05 exact (zenon_H1c1 zenon_H1ba). % 0.87/1.05 (* end of lemma zenon_L237_ *) % 0.87/1.05 assert (zenon_L238_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1862)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a1862))) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (c0_1 (a1877)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1d2 zenon_H1ba zenon_H178 zenon_H1b9 zenon_Hdb zenon_Hda zenon_Hd9 zenon_Ha zenon_H2b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H6f | zenon_intro zenon_H1d3 ]. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2c ]. % 0.87/1.05 apply (zenon_L56_); trivial. % 0.87/1.05 exact (zenon_H2b zenon_H2c). % 0.87/1.05 (* end of lemma zenon_L238_ *) % 0.87/1.05 assert (zenon_L239_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H1b9 zenon_H1ba zenon_H1d2 zenon_H12c zenon_H12d zenon_H12e zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H94 zenon_H142 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L211_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L58_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.87/1.05 apply (zenon_L235_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.87/1.05 apply (zenon_L236_); trivial. % 0.87/1.05 apply (zenon_L238_); trivial. % 0.87/1.05 (* end of lemma zenon_L239_ *) % 0.87/1.05 assert (zenon_L240_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H157 zenon_H7e zenon_H172 zenon_H10d zenon_Hf6 zenon_Hf7 zenon_H1e0 zenon_H1b9 zenon_H1ba zenon_H1d2 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H94 zenon_H142 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_H1a9 zenon_H153 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H96 zenon_H1a7 zenon_H87 zenon_H86 zenon_H85 zenon_H1fe zenon_H45. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.05 apply (zenon_L239_); trivial. % 0.87/1.05 apply (zenon_L220_); trivial. % 0.87/1.05 apply (zenon_L102_); trivial. % 0.87/1.05 (* end of lemma zenon_L240_ *) % 0.87/1.05 assert (zenon_L241_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1862)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H126 zenon_H1da zenon_H208 zenon_H45 zenon_H1fe zenon_H1dc zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H153 zenon_H1a9 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H129 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_H13f zenon_H146 zenon_H115 zenon_H7e zenon_H142 zenon_H94 zenon_H1d2 zenon_H1ba zenon_H1e0 zenon_H10d zenon_H172 zenon_H174. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.05 apply (zenon_L214_); trivial. % 0.87/1.05 apply (zenon_L220_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.87/1.05 apply (zenon_L74_); trivial. % 0.87/1.05 apply (zenon_L224_); trivial. % 0.87/1.05 apply (zenon_L226_); trivial. % 0.87/1.05 apply (zenon_L124_); trivial. % 0.87/1.05 apply (zenon_L234_); trivial. % 0.87/1.05 apply (zenon_L240_); trivial. % 0.87/1.05 apply (zenon_L172_); trivial. % 0.87/1.05 (* end of lemma zenon_L241_ *) % 0.87/1.05 assert (zenon_L242_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp14)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H80 zenon_H4a zenon_H115 zenon_Hf6 zenon_Hf7 zenon_H2f zenon_H14c zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_H94 zenon_H142 zenon_H146 zenon_H151 zenon_H153 zenon_H155 zenon_H114 zenon_H126 zenon_Hf8 zenon_H11f zenon_H3d zenon_H122 zenon_H170 zenon_H10d zenon_H172 zenon_H7e zenon_H174. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.05 apply (zenon_L104_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_L100_); trivial. % 0.87/1.05 apply (zenon_L86_); trivial. % 0.87/1.05 (* end of lemma zenon_L242_ *) % 0.87/1.05 assert (zenon_L243_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H185 zenon_H168 zenon_H4a zenon_H1de zenon_H1dc zenon_H1ba zenon_H1fc zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H14c zenon_H16a zenon_H126 zenon_H122 zenon_H3d zenon_H7e zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H146 zenon_H11f zenon_H170 zenon_H10d zenon_H110 zenon_H114 zenon_H172 zenon_H174 zenon_H155 zenon_H153 zenon_H151 zenon_H142 zenon_H94 zenon_H7f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.05 apply (zenon_L199_); trivial. % 0.87/1.05 apply (zenon_L242_); trivial. % 0.87/1.05 apply (zenon_L202_); trivial. % 0.87/1.05 (* end of lemma zenon_L243_ *) % 0.87/1.05 assert (zenon_L244_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H210 zenon_H83 zenon_H52 zenon_H50 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hb9. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.87/1.05 apply (zenon_L87_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.87/1.05 apply (zenon_L45_); trivial. % 0.87/1.05 exact (zenon_Hb9 zenon_Hba). % 0.87/1.05 (* end of lemma zenon_L244_ *) % 0.87/1.05 assert (zenon_L245_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a1868)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H197 zenon_Ha zenon_H179 zenon_H33 zenon_H17b. % 0.87/1.05 generalize (zenon_H197 (a1868)). zenon_intro zenon_H212. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H9 | zenon_intro zenon_H213 ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H17f | zenon_intro zenon_H214 ]. % 0.87/1.05 exact (zenon_H179 zenon_H17f). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H180 ]. % 0.87/1.05 generalize (zenon_H33 (a1868)). zenon_intro zenon_H216. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_H9 | zenon_intro zenon_H217 ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.87/1.05 exact (zenon_H215 zenon_H219). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H17f | zenon_intro zenon_H180 ]. % 0.87/1.05 exact (zenon_H179 zenon_H17f). % 0.87/1.05 exact (zenon_H180 zenon_H17b). % 0.87/1.05 exact (zenon_H180 zenon_H17b). % 0.87/1.05 (* end of lemma zenon_L245_ *) % 0.87/1.05 assert (zenon_L246_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (~(hskp29)) -> (~(hskp20)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H21a zenon_H17b zenon_H179 zenon_Ha zenon_H197 zenon_Hb7 zenon_Hf1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H33 | zenon_intro zenon_H21b ]. % 0.87/1.05 apply (zenon_L245_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf2 ]. % 0.87/1.05 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.05 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.05 (* end of lemma zenon_L246_ *) % 0.87/1.05 assert (zenon_L247_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp20)) -> (~(hskp29)) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp6)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_Hf1 zenon_Hb7 zenon_Ha zenon_H179 zenon_H17b zenon_H21a zenon_Hd9 zenon_Hdb zenon_Hda zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H94. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.05 apply (zenon_L75_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.05 apply (zenon_L87_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.05 apply (zenon_L228_); trivial. % 0.87/1.05 apply (zenon_L246_); trivial. % 0.87/1.05 exact (zenon_H94 zenon_H95). % 0.87/1.05 (* end of lemma zenon_L247_ *) % 0.87/1.05 assert (zenon_L248_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> (~(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_Hd7 zenon_H12c zenon_H12d zenon_H12e zenon_H1de zenon_H179 zenon_H17b zenon_Hf1 zenon_H21a zenon_H94 zenon_H142 zenon_Ha zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L244_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L247_); trivial. % 0.87/1.05 apply (zenon_L105_); trivial. % 0.87/1.05 (* end of lemma zenon_L248_ *) % 0.87/1.05 assert (zenon_L249_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H80 zenon_H174 zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H142 zenon_H94 zenon_H21a zenon_H17b zenon_H179 zenon_H1de zenon_Hd7 zenon_Hf6 zenon_H122 zenon_H3d zenon_H11f zenon_Hf8 zenon_H126. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.05 apply (zenon_L100_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L248_); trivial. % 0.87/1.05 apply (zenon_L71_); trivial. % 0.87/1.05 (* end of lemma zenon_L249_ *) % 0.87/1.05 assert (zenon_L250_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H21c zenon_Ha zenon_H21d zenon_H21e zenon_H21f. % 0.87/1.05 generalize (zenon_H21c (a1860)). zenon_intro zenon_H220. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H9 | zenon_intro zenon_H221 ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.87/1.05 exact (zenon_H21d zenon_H223). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.87/1.05 exact (zenon_H21e zenon_H225). % 0.87/1.05 exact (zenon_H224 zenon_H21f). % 0.87/1.05 (* end of lemma zenon_L250_ *) % 0.87/1.05 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp8)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfb zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_H1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.87/1.05 apply (zenon_L250_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.87/1.05 apply (zenon_L56_); trivial. % 0.87/1.05 exact (zenon_H1 zenon_H2). % 0.87/1.05 (* end of lemma zenon_L251_ *) % 0.87/1.05 assert (zenon_L252_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_H226 zenon_H1 zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L112_); trivial. % 0.87/1.05 apply (zenon_L251_); trivial. % 0.87/1.05 (* end of lemma zenon_L252_ *) % 0.87/1.05 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H186 zenon_H7e zenon_H45 zenon_H79 zenon_H31 zenon_H4b zenon_H4d zenon_H182 zenon_H21d zenon_H21e zenon_H21f zenon_H1 zenon_H226 zenon_Hf6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L252_); trivial. % 0.87/1.05 apply (zenon_L33_); trivial. % 0.87/1.05 (* end of lemma zenon_L253_ *) % 0.87/1.05 assert (zenon_L254_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b0 zenon_H184 zenon_H7e zenon_H79 zenon_H182 zenon_H21d zenon_H21e zenon_H21f zenon_H226 zenon_Hf6 zenon_H189 zenon_H153 zenon_H155 zenon_H114 zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.05 apply (zenon_L27_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.05 apply (zenon_L157_); trivial. % 0.87/1.05 apply (zenon_L253_); trivial. % 0.87/1.05 (* end of lemma zenon_L254_ *) % 0.87/1.05 assert (zenon_L255_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp13)) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp8)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_H3d zenon_H31 zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H40 zenon_H1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.87/1.05 apply (zenon_L250_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.87/1.05 apply (zenon_L169_); trivial. % 0.87/1.05 exact (zenon_H1 zenon_H2). % 0.87/1.05 (* end of lemma zenon_L255_ *) % 0.87/1.05 assert (zenon_L256_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ae zenon_H1d2 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H114 zenon_H155 zenon_H153 zenon_H189 zenon_Hf6 zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_H182 zenon_H79 zenon_H7e zenon_H184 zenon_H1b0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L254_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.05 apply (zenon_L255_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.05 apply (zenon_L157_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.05 apply (zenon_L252_); trivial. % 0.87/1.05 apply (zenon_L139_); trivial. % 0.87/1.05 (* end of lemma zenon_L256_ *) % 0.87/1.05 assert (zenon_L257_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp27)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(hskp8)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hfe zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_Hb9 zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_H1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.87/1.05 apply (zenon_L250_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.87/1.05 apply (zenon_L188_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.87/1.05 apply (zenon_L45_); trivial. % 0.87/1.05 exact (zenon_Hb9 zenon_Hba). % 0.87/1.05 exact (zenon_H1 zenon_H2). % 0.87/1.05 (* end of lemma zenon_L257_ *) % 0.87/1.05 assert (zenon_L258_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((hskp10)\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_H1b7 zenon_H29 zenon_H4b zenon_H21d zenon_H21e zenon_H21f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H1 zenon_H226 zenon_Hf7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.05 apply (zenon_L127_); trivial. % 0.87/1.05 apply (zenon_L257_); trivial. % 0.87/1.05 apply (zenon_L251_); trivial. % 0.87/1.05 (* end of lemma zenon_L258_ *) % 0.87/1.05 assert (zenon_L259_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1864)) -> (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36)))))) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_H86 zenon_H228 zenon_H85 zenon_H87. % 0.87/1.05 generalize (zenon_Hd8 (a1864)). zenon_intro zenon_H1ca. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H1ca); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cb ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 0.87/1.05 exact (zenon_H8d zenon_H86). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1cd | zenon_intro zenon_H8c ]. % 0.87/1.05 generalize (zenon_H228 (a1864)). zenon_intro zenon_H229. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H229); [ zenon_intro zenon_H9 | zenon_intro zenon_H22a ]. % 0.87/1.05 exact (zenon_H9 zenon_Ha). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H8b | zenon_intro zenon_H22b ]. % 0.87/1.05 exact (zenon_H85 zenon_H8b). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H8d ]. % 0.87/1.05 exact (zenon_H1cd zenon_H1d1). % 0.87/1.05 exact (zenon_H8d zenon_H86). % 0.87/1.05 exact (zenon_H8c zenon_H87). % 0.87/1.05 (* end of lemma zenon_L259_ *) % 0.87/1.05 assert (zenon_L260_ : ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (~(hskp26)) -> (~(hskp27)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H22c zenon_H87 zenon_H85 zenon_H86 zenon_Ha zenon_Hd8 zenon_H127 zenon_Hb9. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H228 | zenon_intro zenon_H22d ]. % 0.87/1.05 apply (zenon_L259_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H128 | zenon_intro zenon_Hba ]. % 0.87/1.05 exact (zenon_H127 zenon_H128). % 0.87/1.05 exact (zenon_Hb9 zenon_Hba). % 0.87/1.05 (* end of lemma zenon_L260_ *) % 0.87/1.05 assert (zenon_L261_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp27)) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (~(hskp8)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_Hb9 zenon_H127 zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H22c zenon_H1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.87/1.05 apply (zenon_L250_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.87/1.05 apply (zenon_L260_); trivial. % 0.87/1.05 exact (zenon_H1 zenon_H2). % 0.87/1.05 (* end of lemma zenon_L261_ *) % 0.87/1.05 assert (zenon_L262_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hf6 zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H22c zenon_H127 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H226. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L261_); trivial. % 0.87/1.05 apply (zenon_L251_); trivial. % 0.87/1.05 (* end of lemma zenon_L262_ *) % 0.87/1.05 assert (zenon_L263_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H80 zenon_Hf6 zenon_H226 zenon_H1 zenon_H21f zenon_H21e zenon_H21d zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.05 apply (zenon_L244_); trivial. % 0.87/1.05 apply (zenon_L251_); trivial. % 0.87/1.05 (* end of lemma zenon_L263_ *) % 0.87/1.05 assert (zenon_L264_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H157 zenon_H7e zenon_H172 zenon_H10d zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H21d zenon_H21e zenon_H21f zenon_H1 zenon_H226 zenon_Hf6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_L252_); trivial. % 0.87/1.06 apply (zenon_L102_); trivial. % 0.87/1.06 (* end of lemma zenon_L264_ *) % 0.87/1.06 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp3))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp3)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1c7 zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H10d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H21c | zenon_intro zenon_H22f ]. % 0.87/1.06 apply (zenon_L250_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H10e ]. % 0.87/1.06 apply (zenon_L128_); trivial. % 0.87/1.06 exact (zenon_H10d zenon_H10e). % 0.87/1.06 (* end of lemma zenon_L265_ *) % 0.87/1.06 assert (zenon_L266_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp1)) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1ae zenon_H92 zenon_H90 zenon_H8e zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H1b0. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.06 apply (zenon_L134_); trivial. % 0.87/1.06 apply (zenon_L132_); trivial. % 0.87/1.06 (* end of lemma zenon_L266_ *) % 0.87/1.06 assert (zenon_L267_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H114 zenon_H155 zenon_H153 zenon_H151 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_H12c zenon_H12d zenon_H12e zenon_H14c zenon_H2f zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H94 zenon_H142 zenon_Hf7 zenon_Hf6 zenon_H115. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.06 apply (zenon_L47_); trivial. % 0.87/1.06 apply (zenon_L82_); trivial. % 0.87/1.06 apply (zenon_L85_); trivial. % 0.87/1.06 (* end of lemma zenon_L267_ *) % 0.87/1.06 assert (zenon_L268_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp14)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H142 zenon_H94 zenon_H13f zenon_H14c zenon_H151 zenon_H153 zenon_H155 zenon_H114 zenon_H110 zenon_H10d zenon_H2f zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.06 apply (zenon_L4_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.06 apply (zenon_L72_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L267_); trivial. % 0.87/1.06 apply (zenon_L71_); trivial. % 0.87/1.06 (* end of lemma zenon_L268_ *) % 0.87/1.06 assert (zenon_L269_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H4f zenon_Ha zenon_H230 zenon_H12b zenon_H231 zenon_H232. % 0.87/1.06 generalize (zenon_H4f (a1857)). zenon_intro zenon_H233. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_H9 | zenon_intro zenon_H234 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.87/1.06 exact (zenon_H230 zenon_H236). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.87/1.06 generalize (zenon_H12b (a1857)). zenon_intro zenon_H239. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H236 | zenon_intro zenon_H23b ]. % 0.87/1.06 exact (zenon_H230 zenon_H236). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ]. % 0.87/1.06 exact (zenon_H238 zenon_H23d). % 0.87/1.06 exact (zenon_H231 zenon_H23c). % 0.87/1.06 exact (zenon_H237 zenon_H232). % 0.87/1.06 (* end of lemma zenon_L269_ *) % 0.87/1.06 assert (zenon_L270_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c0_1 (a1857))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H5d zenon_H232 zenon_H231 zenon_H12b zenon_H230 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.06 apply (zenon_L269_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.06 apply (zenon_L15_); trivial. % 0.87/1.06 exact (zenon_H1 zenon_H2). % 0.87/1.06 (* end of lemma zenon_L270_ *) % 0.87/1.06 assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp8)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp3)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H3f zenon_H172 zenon_H1 zenon_H230 zenon_H231 zenon_H232 zenon_H5d zenon_H72 zenon_H71 zenon_H70 zenon_H10d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.87/1.06 apply (zenon_L270_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 0.87/1.06 apply (zenon_L31_); trivial. % 0.87/1.06 exact (zenon_H10d zenon_H10e). % 0.87/1.06 (* end of lemma zenon_L271_ *) % 0.87/1.06 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H7b zenon_H45 zenon_H172 zenon_H10d zenon_H230 zenon_H231 zenon_H232 zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.06 apply (zenon_L21_); trivial. % 0.87/1.06 apply (zenon_L271_); trivial. % 0.87/1.06 (* end of lemma zenon_L272_ *) % 0.87/1.06 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H186 zenon_H185 zenon_H170 zenon_H16a zenon_H168 zenon_H146 zenon_H16c zenon_H4a zenon_H174 zenon_H142 zenon_H94 zenon_H13f zenon_H14c zenon_H182 zenon_H4d zenon_H4b zenon_H5d zenon_H232 zenon_H231 zenon_H230 zenon_H172 zenon_H45 zenon_H7e zenon_H114 zenon_H110 zenon_H10d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H7 zenon_H1de zenon_H21a zenon_H210 zenon_H7f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.06 apply (zenon_L4_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.06 apply (zenon_L72_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.06 apply (zenon_L47_); trivial. % 0.87/1.06 apply (zenon_L113_); trivial. % 0.87/1.06 apply (zenon_L272_); trivial. % 0.87/1.06 apply (zenon_L71_); trivial. % 0.87/1.06 apply (zenon_L249_); trivial. % 0.87/1.06 apply (zenon_L110_); trivial. % 0.87/1.06 (* end of lemma zenon_L273_ *) % 0.87/1.06 assert (zenon_L274_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H7e zenon_H45 zenon_H172 zenon_H10d zenon_H230 zenon_H231 zenon_H232 zenon_H5d zenon_H1 zenon_H4b zenon_H4d zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_L30_); trivial. % 0.87/1.06 apply (zenon_L272_); trivial. % 0.87/1.06 (* end of lemma zenon_L274_ *) % 0.87/1.06 assert (zenon_L275_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H23e zenon_Ha zenon_H4f zenon_H50 zenon_H52 zenon_H83. % 0.87/1.06 generalize (zenon_H23e (a1872)). zenon_intro zenon_H23f. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H51 | zenon_intro zenon_H15c ]. % 0.87/1.06 apply (zenon_L22_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H57 | zenon_intro zenon_H15d ]. % 0.87/1.06 exact (zenon_H57 zenon_H52). % 0.87/1.06 exact (zenon_H15d zenon_H83). % 0.87/1.06 (* end of lemma zenon_L275_ *) % 0.87/1.06 assert (zenon_L276_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H4f zenon_Ha zenon_H230 zenon_Ha9 zenon_H231 zenon_H232. % 0.87/1.06 generalize (zenon_H4f (a1857)). zenon_intro zenon_H233. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_H9 | zenon_intro zenon_H234 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.87/1.06 exact (zenon_H230 zenon_H236). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.87/1.06 generalize (zenon_Ha9 (a1857)). zenon_intro zenon_H241. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_H9 | zenon_intro zenon_H242 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H23d | zenon_intro zenon_H243 ]. % 0.87/1.06 exact (zenon_H238 zenon_H23d). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23c | zenon_intro zenon_H237 ]. % 0.87/1.06 exact (zenon_H231 zenon_H23c). % 0.87/1.06 exact (zenon_H237 zenon_H232). % 0.87/1.06 exact (zenon_H237 zenon_H232). % 0.87/1.06 (* end of lemma zenon_L276_ *) % 0.87/1.06 assert (zenon_L277_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp8)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H3f zenon_H5d zenon_H1d zenon_H1c zenon_H1b zenon_H50 zenon_H52 zenon_H83 zenon_H230 zenon_H231 zenon_H232 zenon_H244 zenon_H245 zenon_H1. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H246 ]. % 0.87/1.06 apply (zenon_L87_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23e | zenon_intro zenon_H19 ]. % 0.87/1.06 apply (zenon_L275_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H247 ]. % 0.87/1.06 apply (zenon_L276_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23e | zenon_intro zenon_H1a ]. % 0.87/1.06 apply (zenon_L275_); trivial. % 0.87/1.06 apply (zenon_L9_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.06 apply (zenon_L15_); trivial. % 0.87/1.06 exact (zenon_H1 zenon_H2). % 0.87/1.06 (* end of lemma zenon_L277_ *) % 0.87/1.06 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H44 zenon_H45 zenon_H5d zenon_H50 zenon_H52 zenon_H83 zenon_H244 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.06 apply (zenon_L21_); trivial. % 0.87/1.06 apply (zenon_L277_); trivial. % 0.87/1.06 (* end of lemma zenon_L278_ *) % 0.87/1.06 assert (zenon_L279_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H4a zenon_H244 zenon_H245 zenon_H170 zenon_H11f zenon_H6d zenon_H4d zenon_H4b zenon_H1 zenon_H5d zenon_H232 zenon_H231 zenon_H230 zenon_H10d zenon_H172 zenon_H45 zenon_H7e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L274_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_L101_); trivial. % 0.87/1.06 apply (zenon_L272_); trivial. % 0.87/1.06 apply (zenon_L278_); trivial. % 0.87/1.06 (* end of lemma zenon_L279_ *) % 0.87/1.06 assert (zenon_L280_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1b0 zenon_H244 zenon_H245 zenon_H6d zenon_H185 zenon_H170 zenon_H172 zenon_H7e zenon_H16a zenon_H168 zenon_H146 zenon_H16c zenon_H4a zenon_H174 zenon_H142 zenon_H94 zenon_H13f zenon_H14c zenon_H153 zenon_H155 zenon_H114 zenon_H110 zenon_H10d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H11f zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H7 zenon_H7f zenon_H210 zenon_H21a zenon_H1de zenon_H45 zenon_H230 zenon_H231 zenon_H232 zenon_H5d zenon_H4b zenon_H4d zenon_H182 zenon_H184. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L268_); trivial. % 0.87/1.06 apply (zenon_L89_); trivial. % 0.87/1.06 apply (zenon_L110_); trivial. % 0.87/1.06 apply (zenon_L273_); trivial. % 0.87/1.06 apply (zenon_L279_); trivial. % 0.87/1.06 (* end of lemma zenon_L280_ *) % 0.87/1.06 assert (zenon_L281_ : (~(hskp11)) -> (hskp11) -> False). % 0.87/1.06 do 0 intro. intros zenon_H248 zenon_H249. % 0.87/1.06 exact (zenon_H248 zenon_H249). % 0.87/1.06 (* end of lemma zenon_L281_ *) % 0.87/1.06 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H24a zenon_H4b zenon_H248. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H59 | zenon_intro zenon_H24b ]. % 0.87/1.06 apply (zenon_L69_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4c | zenon_intro zenon_H249 ]. % 0.87/1.06 exact (zenon_H4b zenon_H4c). % 0.87/1.06 exact (zenon_H248 zenon_H249). % 0.87/1.06 (* end of lemma zenon_L282_ *) % 0.87/1.06 assert (zenon_L283_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H126 zenon_H24a zenon_H248 zenon_H4b zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H2f zenon_H10d zenon_H110 zenon_H114. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L68_); trivial. % 0.87/1.06 apply (zenon_L282_); trivial. % 0.87/1.06 (* end of lemma zenon_L283_ *) % 0.87/1.06 assert (zenon_L284_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (~(hskp27)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H210 zenon_H83 zenon_H52 zenon_H50 zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H4f zenon_Hb9. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.87/1.06 apply (zenon_L87_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.87/1.06 apply (zenon_L276_); trivial. % 0.87/1.06 exact (zenon_Hb9 zenon_Hba). % 0.87/1.06 (* end of lemma zenon_L284_ *) % 0.87/1.06 assert (zenon_L285_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp27)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H5d zenon_Hb9 zenon_H230 zenon_H231 zenon_H232 zenon_H50 zenon_H52 zenon_H83 zenon_H210 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.06 apply (zenon_L284_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.06 apply (zenon_L15_); trivial. % 0.87/1.06 exact (zenon_H1 zenon_H2). % 0.87/1.06 (* end of lemma zenon_L285_ *) % 0.87/1.06 assert (zenon_L286_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c2_1 (a1877)) -> (c3_1 (a1877)) -> (c0_1 (a1877)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_Hda zenon_Hdb zenon_Hd9 zenon_H1a zenon_Ha zenon_H198 zenon_H199 zenon_H19a zenon_H19b. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.87/1.06 apply (zenon_L87_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.87/1.06 apply (zenon_L228_); trivial. % 0.87/1.06 apply (zenon_L122_); trivial. % 0.87/1.06 (* end of lemma zenon_L286_ *) % 0.87/1.06 assert (zenon_L287_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_H208 zenon_H29 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H83 zenon_H52 zenon_H50 zenon_H1 zenon_H5d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.06 apply (zenon_L285_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.06 apply (zenon_L270_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.06 apply (zenon_L286_); trivial. % 0.87/1.06 exact (zenon_H94 zenon_H95). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_L24_); trivial. % 0.87/1.06 exact (zenon_H29 zenon_H2a). % 0.87/1.06 (* end of lemma zenon_L287_ *) % 0.87/1.06 assert (zenon_L288_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H80 zenon_H45 zenon_Hf6 zenon_H208 zenon_H29 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.06 apply (zenon_L21_); trivial. % 0.87/1.06 apply (zenon_L287_); trivial. % 0.87/1.06 (* end of lemma zenon_L288_ *) % 0.87/1.06 assert (zenon_L289_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H24a zenon_H248 zenon_H4b zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H3d zenon_H16a zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.06 apply (zenon_L4_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L97_); trivial. % 0.87/1.06 apply (zenon_L282_); trivial. % 0.87/1.06 (* end of lemma zenon_L289_ *) % 0.87/1.06 assert (zenon_L290_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H175 zenon_H7f zenon_H45 zenon_Hf6 zenon_H208 zenon_H29 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H4d zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H4b zenon_H248 zenon_H24a zenon_H126 zenon_H4a zenon_H16c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L289_); trivial. % 0.87/1.06 apply (zenon_L288_); trivial. % 0.87/1.06 (* end of lemma zenon_L290_ *) % 0.87/1.06 assert (zenon_L291_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H12c zenon_H12d zenon_H12e zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H94 zenon_H142 zenon_H29 zenon_He4. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.06 apply (zenon_L58_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.87/1.06 apply (zenon_L235_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.87/1.06 apply (zenon_L236_); trivial. % 0.87/1.06 apply (zenon_L6_); trivial. % 0.87/1.06 (* end of lemma zenon_L291_ *) % 0.87/1.06 assert (zenon_L292_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H12c zenon_H12d zenon_H12e zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H94 zenon_H142 zenon_H29 zenon_He4 zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.06 apply (zenon_L112_); trivial. % 0.87/1.06 apply (zenon_L291_); trivial. % 0.87/1.06 (* end of lemma zenon_L292_ *) % 0.87/1.06 assert (zenon_L293_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H157 zenon_H7e zenon_H172 zenon_H10d zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_He4 zenon_H29 zenon_H142 zenon_H94 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_Hf7 zenon_Hf6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_L292_); trivial. % 0.87/1.06 apply (zenon_L102_); trivial. % 0.87/1.06 (* end of lemma zenon_L293_ *) % 0.87/1.06 assert (zenon_L294_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H2b zenon_H2d zenon_H29 zenon_He4 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H83 zenon_H52 zenon_H50 zenon_Ha zenon_Hf1 zenon_Hf3 zenon_Hf8. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H4f | zenon_intro zenon_H102 ]. % 0.87/1.06 apply (zenon_L284_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.87/1.06 exact (zenon_Hf1 zenon_Hf2). % 0.87/1.06 exact (zenon_Hf3 zenon_Hf4). % 0.87/1.06 apply (zenon_L213_); trivial. % 0.87/1.06 (* end of lemma zenon_L294_ *) % 0.87/1.06 assert (zenon_L295_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp6)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H94. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.87/1.06 apply (zenon_L75_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.87/1.06 apply (zenon_L286_); trivial. % 0.87/1.06 exact (zenon_H94 zenon_H95). % 0.87/1.06 (* end of lemma zenon_L295_ *) % 0.87/1.06 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H7e zenon_H172 zenon_H10d zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_H208 zenon_Hf6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.06 apply (zenon_L112_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_L295_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_L69_); trivial. % 0.87/1.06 exact (zenon_H29 zenon_H2a). % 0.87/1.06 apply (zenon_L102_); trivial. % 0.87/1.06 (* end of lemma zenon_L296_ *) % 0.87/1.06 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1868)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H80 zenon_H174 zenon_H7e zenon_H172 zenon_H10d zenon_H182 zenon_H17a zenon_Hac zenon_Hab zenon_Haa zenon_H21a zenon_H17b zenon_H179 zenon_Hd7 zenon_H45 zenon_H208 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H1 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H4b zenon_H248 zenon_H24a zenon_H126. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.06 apply (zenon_L294_); trivial. % 0.87/1.06 apply (zenon_L287_); trivial. % 0.87/1.06 apply (zenon_L282_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L248_); trivial. % 0.87/1.06 apply (zenon_L296_); trivial. % 0.87/1.06 (* end of lemma zenon_L297_ *) % 0.87/1.06 assert (zenon_L298_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1868)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H175 zenon_H7f zenon_H174 zenon_H7e zenon_H172 zenon_H10d zenon_H182 zenon_H17a zenon_H21a zenon_H17b zenon_H179 zenon_H45 zenon_H208 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H4b zenon_H248 zenon_H24a zenon_H126 zenon_H4a zenon_H16c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L289_); trivial. % 0.87/1.06 apply (zenon_L297_); trivial. % 0.87/1.06 (* end of lemma zenon_L298_ *) % 0.87/1.06 assert (zenon_L299_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1b4 zenon_H184 zenon_H7f zenon_H174 zenon_H182 zenon_Hac zenon_Hab zenon_Haa zenon_H21a zenon_Hd7 zenon_H208 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_Hf8 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H248 zenon_H24a zenon_H126 zenon_H6d zenon_H4d zenon_H4b zenon_H5d zenon_H232 zenon_H231 zenon_H230 zenon_H10d zenon_H172 zenon_H45 zenon_H7e zenon_H189 zenon_H1 zenon_H153 zenon_H155 zenon_H114. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.06 apply (zenon_L157_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L274_); trivial. % 0.87/1.06 apply (zenon_L297_); trivial. % 0.87/1.06 (* end of lemma zenon_L299_ *) % 0.87/1.06 assert (zenon_L300_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21))))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H24e zenon_Ha zenon_H24f zenon_H250 zenon_H251. % 0.87/1.06 generalize (zenon_H24e (a1865)). zenon_intro zenon_H252. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_H9 | zenon_intro zenon_H253 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H255 | zenon_intro zenon_H254 ]. % 0.87/1.06 exact (zenon_H24f zenon_H255). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H257 | zenon_intro zenon_H256 ]. % 0.87/1.06 exact (zenon_H250 zenon_H257). % 0.87/1.06 exact (zenon_H251 zenon_H256). % 0.87/1.06 (* end of lemma zenon_L300_ *) % 0.87/1.06 assert (zenon_L301_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp17)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H15 zenon_H3. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H24e | zenon_intro zenon_H259 ]. % 0.87/1.06 apply (zenon_L300_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H16 | zenon_intro zenon_H4 ]. % 0.87/1.06 exact (zenon_H15 zenon_H16). % 0.87/1.06 exact (zenon_H3 zenon_H4). % 0.87/1.06 (* end of lemma zenon_L301_ *) % 0.87/1.06 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H16d zenon_H4a zenon_H45 zenon_H5d zenon_H50 zenon_H52 zenon_H83 zenon_H244 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H4b zenon_H4d zenon_H1 zenon_H17. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_L278_); trivial. % 0.87/1.06 (* end of lemma zenon_L302_ *) % 0.87/1.06 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H80 zenon_H16c zenon_H17 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H4d zenon_H4b zenon_H1 zenon_H245 zenon_H230 zenon_H231 zenon_H232 zenon_H244 zenon_H5d zenon_H45 zenon_H4a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L301_); trivial. % 0.87/1.06 apply (zenon_L278_); trivial. % 0.87/1.06 apply (zenon_L302_); trivial. % 0.87/1.06 (* end of lemma zenon_L303_ *) % 0.87/1.06 assert (zenon_L304_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp29)\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1b0 zenon_H6d zenon_H185 zenon_H170 zenon_H172 zenon_H7e zenon_H16a zenon_H168 zenon_H146 zenon_H16c zenon_H4a zenon_H174 zenon_H142 zenon_H94 zenon_H13f zenon_H14c zenon_H153 zenon_H155 zenon_H114 zenon_H110 zenon_H10d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H11f zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H7 zenon_H45 zenon_H5d zenon_H244 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H4b zenon_H4d zenon_H24f zenon_H250 zenon_H251 zenon_H258 zenon_H7f zenon_H210 zenon_H21a zenon_H1de zenon_H182 zenon_H184. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L268_); trivial. % 0.87/1.06 apply (zenon_L303_); trivial. % 0.87/1.06 apply (zenon_L110_); trivial. % 0.87/1.06 apply (zenon_L273_); trivial. % 0.87/1.06 apply (zenon_L279_); trivial. % 0.87/1.06 (* end of lemma zenon_L304_ *) % 0.87/1.06 assert (zenon_L305_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp28)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_Hb9 zenon_He2. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.87/1.06 apply (zenon_L300_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_Hba | zenon_intro zenon_He3 ]. % 0.87/1.06 exact (zenon_Hb9 zenon_Hba). % 0.87/1.06 exact (zenon_He2 zenon_He3). % 0.87/1.06 (* end of lemma zenon_L305_ *) % 0.87/1.06 assert (zenon_L306_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(hskp16)) -> (c2_1 (a1878)) -> (c3_1 (a1878)) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H210 zenon_H5 zenon_He8 zenon_H101 zenon_H198 zenon_H199 zenon_H19a zenon_H19b zenon_H1dc zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hb9. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.87/1.06 apply (zenon_L217_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.87/1.06 apply (zenon_L45_); trivial. % 0.87/1.06 exact (zenon_Hb9 zenon_Hba). % 0.87/1.06 (* end of lemma zenon_L306_ *) % 0.87/1.06 assert (zenon_L307_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp27)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1890)) -> (~(c1_1 (a1890))) -> (~(c0_1 (a1890))) -> (~(hskp0)) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hfe zenon_H208 zenon_Hb9 zenon_Haa zenon_Hab zenon_Hac zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H5 zenon_H210 zenon_H118 zenon_H117 zenon_H116 zenon_H29. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_L306_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_L69_); trivial. % 0.87/1.06 exact (zenon_H29 zenon_H2a). % 0.87/1.06 (* end of lemma zenon_L307_ *) % 0.87/1.06 assert (zenon_L308_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1890)) -> (~(c1_1 (a1890))) -> (~(c0_1 (a1890))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hf7 zenon_H208 zenon_H29 zenon_H118 zenon_H117 zenon_H116 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.06 apply (zenon_L305_); trivial. % 0.87/1.06 apply (zenon_L307_); trivial. % 0.87/1.06 (* end of lemma zenon_L308_ *) % 0.87/1.06 assert (zenon_L309_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp21)) -> (c1_1 (a1878)) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp29)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1da zenon_Hd0 zenon_He7 zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd3 zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H1dc zenon_H101 zenon_He8 zenon_H5 zenon_H1de zenon_Hb7. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.87/1.06 apply (zenon_L61_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.87/1.06 apply (zenon_L229_); trivial. % 0.87/1.06 exact (zenon_Hb7 zenon_Hb8). % 0.87/1.06 (* end of lemma zenon_L309_ *) % 0.87/1.06 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hd0 zenon_Hd3 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H116 zenon_H117 zenon_H118 zenon_H29 zenon_H208 zenon_Hf7. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.87/1.06 apply (zenon_L308_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.87/1.06 apply (zenon_L58_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_L309_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_L69_); trivial. % 0.87/1.06 exact (zenon_H29 zenon_H2a). % 0.87/1.06 apply (zenon_L54_); trivial. % 0.87/1.06 (* end of lemma zenon_L310_ *) % 0.87/1.06 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hf7 zenon_H208 zenon_H29 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hd3 zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf6 zenon_H115. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.87/1.06 apply (zenon_L47_); trivial. % 0.87/1.06 apply (zenon_L310_); trivial. % 0.87/1.06 apply (zenon_L96_); trivial. % 0.87/1.06 (* end of lemma zenon_L311_ *) % 0.87/1.06 assert (zenon_L312_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H126 zenon_H16a zenon_H3d zenon_H208 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_H1de zenon_H1da zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H2f zenon_H10d zenon_H110 zenon_H114. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L68_); trivial. % 0.87/1.06 apply (zenon_L311_); trivial. % 0.87/1.06 (* end of lemma zenon_L312_ *) % 0.87/1.06 assert (zenon_L313_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_Hf7 zenon_H208 zenon_H29 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H1de zenon_H1da zenon_Hf6 zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H3d zenon_H16a zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.87/1.06 apply (zenon_L4_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L97_); trivial. % 0.87/1.06 apply (zenon_L311_); trivial. % 0.87/1.06 (* end of lemma zenon_L313_ *) % 0.87/1.06 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H175 zenon_H7f zenon_H258 zenon_H4d zenon_H4b zenon_H245 zenon_H230 zenon_H231 zenon_H232 zenon_H244 zenon_H5d zenon_H45 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_Hf6 zenon_H1da zenon_H1de zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H29 zenon_H208 zenon_Hf7 zenon_H126 zenon_H4a zenon_H16c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L313_); trivial. % 0.87/1.06 apply (zenon_L303_); trivial. % 0.87/1.06 (* end of lemma zenon_L314_ *) % 0.87/1.06 assert (zenon_L315_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H16c zenon_H17 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H245 zenon_H244 zenon_H4a zenon_H6d zenon_H4d zenon_H4b zenon_H1 zenon_H5d zenon_H232 zenon_H231 zenon_H230 zenon_H10d zenon_H172 zenon_H45 zenon_H7e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.87/1.06 apply (zenon_L274_); trivial. % 0.87/1.06 apply (zenon_L303_); trivial. % 0.87/1.06 (* end of lemma zenon_L315_ *) % 0.87/1.06 assert (zenon_L316_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H208 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H29. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_L171_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_L69_); trivial. % 0.87/1.06 exact (zenon_H29 zenon_H2a). % 0.87/1.06 (* end of lemma zenon_L316_ *) % 0.87/1.06 assert (zenon_L317_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H126 zenon_H208 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_Hf6 zenon_Hf7 zenon_H2d zenon_H29 zenon_He4 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H83 zenon_H52 zenon_H50 zenon_Ha zenon_Hf3 zenon_Hf8 zenon_H5d zenon_H1 zenon_H31 zenon_H5f zenon_H45. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.87/1.06 apply (zenon_L294_); trivial. % 0.87/1.06 apply (zenon_L25_); trivial. % 0.87/1.06 apply (zenon_L316_); trivial. % 0.87/1.06 (* end of lemma zenon_L317_ *) % 0.87/1.06 assert (zenon_L318_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H25c zenon_Ha zenon_H230 zenon_H231 zenon_H232. % 0.87/1.06 generalize (zenon_H25c (a1857)). zenon_intro zenon_H25d. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H9 | zenon_intro zenon_H25e ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H236 | zenon_intro zenon_H243 ]. % 0.87/1.06 exact (zenon_H230 zenon_H236). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23c | zenon_intro zenon_H237 ]. % 0.87/1.06 exact (zenon_H231 zenon_H23c). % 0.87/1.06 exact (zenon_H237 zenon_H232). % 0.87/1.06 (* end of lemma zenon_L318_ *) % 0.87/1.06 assert (zenon_L319_ : (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36)))))) -> (ndr1_0) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H228 zenon_Ha zenon_H1f5 zenon_H1ec zenon_H1ed. % 0.87/1.06 generalize (zenon_H228 (a1861)). zenon_intro zenon_H25f. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_H9 | zenon_intro zenon_H260 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H261 ]. % 0.87/1.06 exact (zenon_H1f5 zenon_H1f9). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f4 ]. % 0.87/1.06 exact (zenon_H1ec zenon_H1f2). % 0.87/1.06 exact (zenon_H1f4 zenon_H1ed). % 0.87/1.06 (* end of lemma zenon_L319_ *) % 0.87/1.06 assert (zenon_L320_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_Ha zenon_Hb9. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25c | zenon_intro zenon_H263 ]. % 0.87/1.06 apply (zenon_L318_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H228 | zenon_intro zenon_Hba ]. % 0.87/1.06 apply (zenon_L319_); trivial. % 0.87/1.06 exact (zenon_Hb9 zenon_Hba). % 0.87/1.06 (* end of lemma zenon_L320_ *) % 0.87/1.06 assert (zenon_L321_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1861)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a1861))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a1864)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1d2 zenon_H1ed zenon_H178 zenon_H1ec zenon_H87 zenon_H85 zenon_H33 zenon_H86 zenon_Ha zenon_H2b. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H6f | zenon_intro zenon_H1d3 ]. % 0.87/1.06 generalize (zenon_H6f (a1861)). zenon_intro zenon_H264. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H9 | zenon_intro zenon_H265 ]. % 0.87/1.06 exact (zenon_H9 zenon_Ha). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f8 ]. % 0.87/1.06 exact (zenon_H1ec zenon_H1f2). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f4 ]. % 0.87/1.06 apply (zenon_L184_); trivial. % 0.87/1.06 exact (zenon_H1f4 zenon_H1ed). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2c ]. % 0.87/1.06 apply (zenon_L137_); trivial. % 0.87/1.06 exact (zenon_H2b zenon_H2c). % 0.87/1.06 (* end of lemma zenon_L321_ *) % 0.87/1.06 assert (zenon_L322_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(c2_1 (a1861))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a1861)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H5d zenon_H52 zenon_H50 zenon_H59 zenon_H2b zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H1ec zenon_H178 zenon_H1ed zenon_H1d2 zenon_H1. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.87/1.06 apply (zenon_L23_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.87/1.06 apply (zenon_L321_); trivial. % 0.87/1.06 exact (zenon_H1 zenon_H2). % 0.87/1.06 (* end of lemma zenon_L322_ *) % 0.87/1.06 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp24)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp0)) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hfb zenon_H208 zenon_H1 zenon_H1d2 zenon_H1ed zenon_H1ec zenon_H87 zenon_H85 zenon_H86 zenon_H2b zenon_H50 zenon_H52 zenon_H5d zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_H19b zenon_H19a zenon_H198 zenon_H83 zenon_H1de zenon_H94 zenon_H1e0 zenon_H29. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.87/1.06 apply (zenon_L171_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.87/1.06 apply (zenon_L295_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.07 apply (zenon_L23_); trivial. % 0.92/1.07 apply (zenon_L322_); trivial. % 0.92/1.07 exact (zenon_H29 zenon_H2a). % 0.92/1.07 (* end of lemma zenon_L323_ *) % 0.92/1.07 assert (zenon_L324_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp8)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp0)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H3f zenon_H208 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H83 zenon_H1de zenon_H1 zenon_H50 zenon_H52 zenon_H5d zenon_H29. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.07 apply (zenon_L171_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.07 apply (zenon_L24_); trivial. % 0.92/1.07 exact (zenon_H29 zenon_H2a). % 0.92/1.07 (* end of lemma zenon_L324_ *) % 0.92/1.07 assert (zenon_L325_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H157 zenon_H45 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H83 zenon_H52 zenon_H50 zenon_H1e0 zenon_H1d2 zenon_H1 zenon_H5d zenon_H94 zenon_H142 zenon_H29 zenon_H208 zenon_Hf6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L323_); trivial. % 0.92/1.07 apply (zenon_L324_); trivial. % 0.92/1.07 (* end of lemma zenon_L325_ *) % 0.92/1.07 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H80 zenon_H174 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H1d2 zenon_H94 zenon_H142 zenon_H45 zenon_H5f zenon_H31 zenon_H1 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H208 zenon_H126. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_L317_); trivial. % 0.92/1.07 apply (zenon_L325_); trivial. % 0.92/1.07 (* end of lemma zenon_L326_ *) % 0.92/1.07 assert (zenon_L327_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H7f zenon_H174 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H1d2 zenon_H94 zenon_H142 zenon_H5f zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H208 zenon_H126 zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H2f zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a zenon_H16c. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_L136_); trivial. % 0.92/1.07 apply (zenon_L326_); trivial. % 0.92/1.07 (* end of lemma zenon_L327_ *) % 0.92/1.07 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H1da zenon_H29 zenon_He4 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_Hd0 zenon_Hd3. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L187_); trivial. % 0.92/1.07 apply (zenon_L146_); trivial. % 0.92/1.07 (* end of lemma zenon_L328_ *) % 0.92/1.07 assert (zenon_L329_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1da zenon_He4 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_Hd0 zenon_Hd3 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.07 apply (zenon_L151_); trivial. % 0.92/1.07 apply (zenon_L328_); trivial. % 0.92/1.07 (* end of lemma zenon_L329_ *) % 0.92/1.07 assert (zenon_L330_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp14)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H5f zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1da zenon_He4 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hd3 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H151 zenon_H153 zenon_H155 zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.07 apply (zenon_L4_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.07 apply (zenon_L8_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L329_); trivial. % 0.92/1.07 apply (zenon_L17_); trivial. % 0.92/1.07 apply (zenon_L139_); trivial. % 0.92/1.07 apply (zenon_L85_); trivial. % 0.92/1.07 apply (zenon_L159_); trivial. % 0.92/1.07 (* end of lemma zenon_L330_ *) % 0.92/1.07 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2b zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.07 apply (zenon_L58_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.07 apply (zenon_L230_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.07 apply (zenon_L143_); trivial. % 0.92/1.07 apply (zenon_L6_); trivial. % 0.92/1.07 apply (zenon_L144_); trivial. % 0.92/1.07 (* end of lemma zenon_L331_ *) % 0.92/1.07 assert (zenon_L332_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2b zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4 zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L112_); trivial. % 0.92/1.07 apply (zenon_L331_); trivial. % 0.92/1.07 (* end of lemma zenon_L332_ *) % 0.92/1.07 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H16d zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2d zenon_H24c zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H31 zenon_H3d zenon_H40 zenon_H45. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L332_); trivial. % 0.92/1.07 apply (zenon_L17_); trivial. % 0.92/1.07 apply (zenon_L139_); trivial. % 0.92/1.07 (* end of lemma zenon_L333_ *) % 0.92/1.07 assert (zenon_L334_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H16c zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2d zenon_H24c zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.07 apply (zenon_L4_); trivial. % 0.92/1.07 apply (zenon_L333_); trivial. % 0.92/1.07 (* end of lemma zenon_L334_ *) % 0.92/1.07 assert (zenon_L335_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H186 zenon_H7f zenon_H1e0 zenon_H5d zenon_H5f zenon_H7 zenon_H1 zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H182 zenon_He4 zenon_H29 zenon_H24c zenon_H2d zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H16c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_L334_); trivial. % 0.92/1.07 apply (zenon_L173_); trivial. % 0.92/1.07 (* end of lemma zenon_L335_ *) % 0.92/1.07 assert (zenon_L336_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1ae zenon_H1af zenon_Hd3 zenon_H208 zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_Hf8 zenon_H142 zenon_H94 zenon_H1e0 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H174 zenon_H1dc zenon_H24c zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H2d zenon_H29 zenon_H46 zenon_H17 zenon_H7 zenon_H1d2 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H114 zenon_H155 zenon_H153 zenon_H189 zenon_H182 zenon_H184 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H1b0. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.07 apply (zenon_L134_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.07 apply (zenon_L168_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.07 apply (zenon_L327_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_L330_); trivial. % 0.92/1.07 apply (zenon_L326_); trivial. % 0.92/1.07 apply (zenon_L335_); trivial. % 0.92/1.07 apply (zenon_L175_); trivial. % 0.92/1.07 (* end of lemma zenon_L336_ *) % 0.92/1.07 assert (zenon_L337_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H157 zenon_Hf6 zenon_Hf7 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H94 zenon_H142 zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L291_); trivial. % 0.92/1.07 (* end of lemma zenon_L337_ *) % 0.92/1.07 assert (zenon_L338_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H16c zenon_H174 zenon_H24c zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H94 zenon_H142 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H114 zenon_H110 zenon_H10d zenon_H2f zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H4b zenon_H248 zenon_H24a zenon_H126 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.07 apply (zenon_L4_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_L283_); trivial. % 0.92/1.07 apply (zenon_L337_); trivial. % 0.92/1.07 (* end of lemma zenon_L338_ *) % 0.92/1.07 assert (zenon_L339_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a1898))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H147 zenon_Ha zenon_H104 zenon_H33 zenon_H105 zenon_H106. % 0.92/1.07 generalize (zenon_H147 (a1898)). zenon_intro zenon_H266. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_H9 | zenon_intro zenon_H267 ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H10a | zenon_intro zenon_H268 ]. % 0.92/1.07 exact (zenon_H104 zenon_H10a). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H269 | zenon_intro zenon_H10b ]. % 0.92/1.07 generalize (zenon_H33 (a1898)). zenon_intro zenon_H26a. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H9 | zenon_intro zenon_H26b ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H10c | zenon_intro zenon_H26c ]. % 0.92/1.07 exact (zenon_H105 zenon_H10c). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26d | zenon_intro zenon_H10b ]. % 0.92/1.07 exact (zenon_H269 zenon_H26d). % 0.92/1.07 exact (zenon_H10b zenon_H106). % 0.92/1.07 exact (zenon_H10b zenon_H106). % 0.92/1.07 (* end of lemma zenon_L339_ *) % 0.92/1.07 assert (zenon_L340_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1898)) -> (~(c1_1 (a1898))) -> (~(c0_1 (a1898))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a1868)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1de zenon_H106 zenon_H105 zenon_H104 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H179 zenon_H33 zenon_H17b. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.07 apply (zenon_L339_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.07 apply (zenon_L36_); trivial. % 0.92/1.07 apply (zenon_L245_); trivial. % 0.92/1.07 (* end of lemma zenon_L340_ *) % 0.92/1.07 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp8)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1898)) -> (~(c1_1 (a1898))) -> (~(c0_1 (a1898))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp3)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H7b zenon_H172 zenon_H1 zenon_H1de zenon_H106 zenon_H105 zenon_H104 zenon_H87 zenon_H86 zenon_H85 zenon_H179 zenon_H17b zenon_H230 zenon_H231 zenon_H232 zenon_H5d zenon_H10d. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.07 apply (zenon_L269_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.07 apply (zenon_L340_); trivial. % 0.92/1.07 exact (zenon_H1 zenon_H2). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 0.92/1.07 apply (zenon_L31_); trivial. % 0.92/1.07 exact (zenon_H10d zenon_H10e). % 0.92/1.07 (* end of lemma zenon_L341_ *) % 0.92/1.07 assert (zenon_L342_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H114 zenon_H7e zenon_H172 zenon_H10d zenon_H230 zenon_H231 zenon_H232 zenon_H1de zenon_H17b zenon_H179 zenon_H87 zenon_H86 zenon_H85 zenon_H5d zenon_H5 zenon_H6d zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H1 zenon_H189. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_L115_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_L30_); trivial. % 0.92/1.07 apply (zenon_L341_); trivial. % 0.92/1.07 (* end of lemma zenon_L342_ *) % 0.92/1.07 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H5d zenon_H1 zenon_H104 zenon_H105 zenon_H106 zenon_H85 zenon_H86 zenon_H87 zenon_H179 zenon_H17b zenon_H1de zenon_H2b zenon_H2d zenon_H29 zenon_He4. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.07 apply (zenon_L58_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.07 apply (zenon_L143_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.07 apply (zenon_L340_); trivial. % 0.92/1.07 exact (zenon_H1 zenon_H2). % 0.92/1.07 (* end of lemma zenon_L343_ *) % 0.92/1.07 assert (zenon_L344_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H5d zenon_H1 zenon_H104 zenon_H105 zenon_H106 zenon_H85 zenon_H86 zenon_H87 zenon_H179 zenon_H17b zenon_H1de zenon_H2b zenon_H2d zenon_H29 zenon_He4 zenon_Ha zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L244_); trivial. % 0.92/1.07 apply (zenon_L343_); trivial. % 0.92/1.07 (* end of lemma zenon_L344_ *) % 0.92/1.07 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H44 zenon_H114 zenon_H45 zenon_H244 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H83 zenon_H52 zenon_H50 zenon_He4 zenon_H29 zenon_H2d zenon_H1de zenon_H17b zenon_H179 zenon_H87 zenon_H86 zenon_H85 zenon_H5d zenon_Hf7 zenon_Hf6 zenon_H62 zenon_H63 zenon_H64 zenon_H1 zenon_H189. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_L115_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L344_); trivial. % 0.92/1.07 apply (zenon_L277_); trivial. % 0.92/1.07 (* end of lemma zenon_L345_ *) % 0.92/1.07 assert (zenon_L346_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1b4 zenon_H184 zenon_H7f zenon_H4a zenon_H45 zenon_H244 zenon_H245 zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H170 zenon_H11f zenon_H6d zenon_H5d zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H232 zenon_H231 zenon_H230 zenon_H10d zenon_H172 zenon_H7e zenon_H189 zenon_H1 zenon_H153 zenon_H155 zenon_H114. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.07 apply (zenon_L157_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_L342_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_L115_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_L101_); trivial. % 0.92/1.07 apply (zenon_L341_); trivial. % 0.92/1.07 apply (zenon_L345_); trivial. % 0.92/1.07 (* end of lemma zenon_L346_ *) % 0.92/1.07 assert (zenon_L347_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2b zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L331_); trivial. % 0.92/1.07 (* end of lemma zenon_L347_ *) % 0.92/1.07 assert (zenon_L348_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hf7 zenon_H1fe zenon_H90 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L219_); trivial. % 0.92/1.07 (* end of lemma zenon_L348_ *) % 0.92/1.07 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H16d zenon_H45 zenon_H1fe zenon_H90 zenon_H85 zenon_H86 zenon_H87 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H24c zenon_H2d zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L347_); trivial. % 0.92/1.07 apply (zenon_L348_); trivial. % 0.92/1.07 (* end of lemma zenon_L349_ *) % 0.92/1.07 assert (zenon_L350_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H126 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H83 zenon_H52 zenon_H50 zenon_Ha zenon_Hf8 zenon_Hf3 zenon_H29 zenon_H208. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.07 apply (zenon_L171_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.07 apply (zenon_L99_); trivial. % 0.92/1.07 exact (zenon_H29 zenon_H2a). % 0.92/1.07 apply (zenon_L316_); trivial. % 0.92/1.07 (* end of lemma zenon_L350_ *) % 0.92/1.07 assert (zenon_L351_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H80 zenon_H174 zenon_H45 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H1e0 zenon_H1d2 zenon_H1 zenon_H5d zenon_H94 zenon_H142 zenon_Hf6 zenon_H208 zenon_H29 zenon_Hf8 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H126. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_L350_); trivial. % 0.92/1.07 apply (zenon_L325_); trivial. % 0.92/1.07 (* end of lemma zenon_L351_ *) % 0.92/1.07 assert (zenon_L352_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H174 zenon_H1e0 zenon_H1d2 zenon_H5d zenon_H94 zenon_H142 zenon_H208 zenon_Hf8 zenon_H126 zenon_H7 zenon_H1 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H1de zenon_H2d zenon_H24c zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H87 zenon_H86 zenon_H85 zenon_H90 zenon_H1fe zenon_H45 zenon_H16c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.07 apply (zenon_L4_); trivial. % 0.92/1.07 apply (zenon_L349_); trivial. % 0.92/1.07 apply (zenon_L351_); trivial. % 0.92/1.07 (* end of lemma zenon_L352_ *) % 0.92/1.07 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp20)) -> (c0_1 (a1858)) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp6)) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hfb zenon_H142 zenon_H12e zenon_H12d zenon_H12c zenon_Hf1 zenon_H136 zenon_H137 zenon_H138 zenon_H1b9 zenon_H1bb zenon_H13f zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H94. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.92/1.07 apply (zenon_L75_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.07 apply (zenon_L87_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.07 apply (zenon_L228_); trivial. % 0.92/1.07 apply (zenon_L179_); trivial. % 0.92/1.07 exact (zenon_H94 zenon_H95). % 0.92/1.07 (* end of lemma zenon_L353_ *) % 0.92/1.07 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1de zenon_H12e zenon_H12d zenon_H12c zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L353_); trivial. % 0.92/1.07 (* end of lemma zenon_L354_ *) % 0.92/1.07 assert (zenon_L355_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1de zenon_H12e zenon_H12d zenon_H12c zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.07 apply (zenon_L74_); trivial. % 0.92/1.07 apply (zenon_L354_); trivial. % 0.92/1.07 (* end of lemma zenon_L355_ *) % 0.92/1.07 assert (zenon_L356_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H115 zenon_H14c zenon_H2f zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H12c zenon_H12d zenon_H12e zenon_H1de zenon_H1b9 zenon_H1bb zenon_Hf1 zenon_H13f zenon_H83 zenon_H52 zenon_H50 zenon_H94 zenon_H142 zenon_Hf6 zenon_H146. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.07 apply (zenon_L355_); trivial. % 0.92/1.07 apply (zenon_L88_); trivial. % 0.92/1.07 (* end of lemma zenon_L356_ *) % 0.92/1.07 assert (zenon_L357_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H157 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H146 zenon_Hf6 zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H1de zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H2f zenon_H14c zenon_H115. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_L356_); trivial. % 0.92/1.07 apply (zenon_L71_); trivial. % 0.92/1.07 (* end of lemma zenon_L357_ *) % 0.92/1.07 assert (zenon_L358_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H80 zenon_H174 zenon_H146 zenon_Hf6 zenon_H142 zenon_H94 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H1de zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H2f zenon_H14c zenon_H115 zenon_H122 zenon_H3d zenon_H11f zenon_Hf8 zenon_H126. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_L100_); trivial. % 0.92/1.07 apply (zenon_L357_); trivial. % 0.92/1.07 (* end of lemma zenon_L358_ *) % 0.92/1.07 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H70 zenon_H71 zenon_H72 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L223_); trivial. % 0.92/1.07 (* end of lemma zenon_L359_ *) % 0.92/1.07 assert (zenon_L360_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (~(hskp18)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H174 zenon_H172 zenon_H10d zenon_H114 zenon_H16a zenon_H3d zenon_H5 zenon_H170 zenon_H11f zenon_H15 zenon_H146 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_H13f zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_Hd3 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H115 zenon_H7e zenon_H122 zenon_H126. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_L101_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.07 apply (zenon_L181_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.07 apply (zenon_L92_); trivial. % 0.92/1.07 apply (zenon_L359_); trivial. % 0.92/1.07 apply (zenon_L96_); trivial. % 0.92/1.07 apply (zenon_L71_); trivial. % 0.92/1.07 apply (zenon_L103_); trivial. % 0.92/1.07 (* end of lemma zenon_L360_ *) % 0.92/1.07 assert (zenon_L361_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H70 zenon_H71 zenon_H72 zenon_H13f zenon_Hf1 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.07 apply (zenon_L74_); trivial. % 0.92/1.07 apply (zenon_L359_); trivial. % 0.92/1.07 (* end of lemma zenon_L361_ *) % 0.92/1.07 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H7b zenon_H115 zenon_H1b zenon_H1c zenon_H1d zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H1ea zenon_H1b9 zenon_H1bb zenon_Hf1 zenon_H13f zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H146. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.07 apply (zenon_L361_); trivial. % 0.92/1.07 apply (zenon_L94_); trivial. % 0.92/1.07 (* end of lemma zenon_L362_ *) % 0.92/1.07 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H44 zenon_H174 zenon_H142 zenon_H94 zenon_H114 zenon_H16a zenon_H3d zenon_H115 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hd3 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_Hf8 zenon_H1ea zenon_H230 zenon_H231 zenon_H232 zenon_H262 zenon_H7e zenon_H11f zenon_H122 zenon_H126. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.07 apply (zenon_L201_); trivial. % 0.92/1.07 apply (zenon_L362_); trivial. % 0.92/1.07 apply (zenon_L96_); trivial. % 0.92/1.07 apply (zenon_L71_); trivial. % 0.92/1.07 apply (zenon_L108_); trivial. % 0.92/1.07 (* end of lemma zenon_L363_ *) % 0.92/1.07 assert (zenon_L364_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H194 zenon_H1b9 zenon_H1bb zenon_H1dc zenon_H87 zenon_H86 zenon_H85 zenon_H1de zenon_Hf7 zenon_Hf6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L207_); trivial. % 0.92/1.07 apply (zenon_L208_); trivial. % 0.92/1.07 (* end of lemma zenon_L364_ *) % 0.92/1.07 assert (zenon_L365_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H2b zenon_H2d zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.07 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.07 apply (zenon_L320_); trivial. % 0.92/1.07 apply (zenon_L213_); trivial. % 0.92/1.07 (* end of lemma zenon_L365_ *) % 0.92/1.07 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H121 zenon_H45 zenon_H1fe zenon_H85 zenon_H86 zenon_H87 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H208 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hf7 zenon_Hf6. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L231_); trivial. % 0.92/1.07 apply (zenon_L348_); trivial. % 0.92/1.07 (* end of lemma zenon_L366_ *) % 0.92/1.07 assert (zenon_L367_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H174 zenon_H142 zenon_H94 zenon_H1d2 zenon_H1ba zenon_H1b9 zenon_H1e0 zenon_H45 zenon_H1fe zenon_H90 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_He4 zenon_H29 zenon_H2d zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H1da zenon_H208 zenon_Hbb zenon_Hd7 zenon_H126. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L365_); trivial. % 0.92/1.07 apply (zenon_L348_); trivial. % 0.92/1.07 apply (zenon_L366_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L239_); trivial. % 0.92/1.07 apply (zenon_L348_); trivial. % 0.92/1.07 (* end of lemma zenon_L367_ *) % 0.92/1.07 assert (zenon_L368_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H157 zenon_H126 zenon_H208 zenon_H29 zenon_H198 zenon_H19a zenon_H19b zenon_H146 zenon_Hf6 zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H13f zenon_H1bb zenon_H1b9 zenon_H1de zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H2f zenon_H14c zenon_H115. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L356_); trivial. % 0.92/1.08 apply (zenon_L316_); trivial. % 0.92/1.08 (* end of lemma zenon_L368_ *) % 0.92/1.08 assert (zenon_L369_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c1_1 (a1862)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H7f zenon_H146 zenon_H13f zenon_H1bb zenon_H129 zenon_H2f zenon_H14c zenon_H115 zenon_H126 zenon_Hd7 zenon_Hbb zenon_H208 zenon_H1da zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H2d zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H90 zenon_H1fe zenon_H45 zenon_H1e0 zenon_H1b9 zenon_H1ba zenon_H1d2 zenon_H94 zenon_H142 zenon_H174. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.08 apply (zenon_L367_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.08 apply (zenon_L350_); trivial. % 0.92/1.08 apply (zenon_L368_); trivial. % 0.92/1.08 (* end of lemma zenon_L369_ *) % 0.92/1.08 assert (zenon_L370_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (~(hskp27)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H87 zenon_H85 zenon_H86 zenon_Ha zenon_Hd8 zenon_Hb9. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25c | zenon_intro zenon_H263 ]. % 0.92/1.08 apply (zenon_L318_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H228 | zenon_intro zenon_Hba ]. % 0.92/1.08 apply (zenon_L259_); trivial. % 0.92/1.08 exact (zenon_Hb9 zenon_Hba). % 0.92/1.08 (* end of lemma zenon_L370_ *) % 0.92/1.08 assert (zenon_L371_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (~(hskp27)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(hskp8)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H226 zenon_H21f zenon_H21e zenon_H21d zenon_Hb9 zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H230 zenon_H231 zenon_H232 zenon_H262 zenon_H1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.08 apply (zenon_L250_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.08 apply (zenon_L370_); trivial. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L371_ *) % 0.92/1.08 assert (zenon_L372_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b1 zenon_Hf6 zenon_H21d zenon_H21e zenon_H21f zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H1 zenon_H226. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L371_); trivial. % 0.92/1.08 apply (zenon_L251_); trivial. % 0.92/1.08 (* end of lemma zenon_L372_ *) % 0.92/1.08 assert (zenon_L373_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf6 zenon_H226 zenon_H1 zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L320_); trivial. % 0.92/1.08 apply (zenon_L251_); trivial. % 0.92/1.08 (* end of lemma zenon_L373_ *) % 0.92/1.08 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H26e zenon_H26f zenon_H22e zenon_H10d zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H21d zenon_H21e zenon_H21f zenon_H226 zenon_Hf6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_L265_); trivial. % 0.92/1.08 (* end of lemma zenon_L374_ *) % 0.92/1.08 assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a1860))/\((~(c0_1 (a1860)))/\(~(c2_1 (a1860)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(hskp0)) -> ((hskp10)\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp3))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H272 zenon_H273 zenon_H274 zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_Hf7 zenon_H226 zenon_H210 zenon_H29 zenon_H1b7 zenon_Hf6 zenon_H1b0 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H79 zenon_H7e zenon_H4d zenon_H40 zenon_H45 zenon_H90 zenon_H92 zenon_H1ae zenon_H10d zenon_H22e zenon_H26f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.08 apply (zenon_L266_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.08 apply (zenon_L258_); trivial. % 0.92/1.08 apply (zenon_L372_); trivial. % 0.92/1.08 apply (zenon_L265_); trivial. % 0.92/1.08 apply (zenon_L374_); trivial. % 0.92/1.08 (* end of lemma zenon_L375_ *) % 0.92/1.08 assert (zenon_L376_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H23e zenon_Ha zenon_H27a zenon_H27b zenon_H27c. % 0.92/1.08 generalize (zenon_H23e (a1856)). zenon_intro zenon_H27d. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H280 | zenon_intro zenon_H27f ]. % 0.92/1.08 exact (zenon_H27a zenon_H280). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H282 | zenon_intro zenon_H281 ]. % 0.92/1.08 exact (zenon_H282 zenon_H27b). % 0.92/1.08 exact (zenon_H281 zenon_H27c). % 0.92/1.08 (* end of lemma zenon_L376_ *) % 0.92/1.08 assert (zenon_L377_ : ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H244 zenon_Hac zenon_Hab zenon_Haa zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H4f zenon_He7 zenon_He8. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H247 ]. % 0.92/1.08 apply (zenon_L45_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23e | zenon_intro zenon_H1a ]. % 0.92/1.08 apply (zenon_L376_); trivial. % 0.92/1.08 apply (zenon_L60_); trivial. % 0.92/1.08 (* end of lemma zenon_L377_ *) % 0.92/1.08 assert (zenon_L378_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hf7 zenon_H5d zenon_H1 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L55_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L58_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.08 apply (zenon_L377_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.08 apply (zenon_L15_); trivial. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L378_ *) % 0.92/1.08 assert (zenon_L379_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H114 zenon_H16a zenon_H3d zenon_H5 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_Hd3 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.08 apply (zenon_L47_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L214_); trivial. % 0.92/1.08 apply (zenon_L378_); trivial. % 0.92/1.08 apply (zenon_L96_); trivial. % 0.92/1.08 (* end of lemma zenon_L379_ *) % 0.92/1.08 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf5 zenon_H45 zenon_H5d zenon_H1 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H12c zenon_H12d zenon_H12e zenon_H14c zenon_H2f zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H94 zenon_H142 zenon_Hf7 zenon_Hf6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L211_); trivial. % 0.92/1.08 apply (zenon_L81_); trivial. % 0.92/1.08 apply (zenon_L378_); trivial. % 0.92/1.08 (* end of lemma zenon_L380_ *) % 0.92/1.08 assert (zenon_L381_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H12c zenon_H12d zenon_H12e zenon_H14c zenon_H2f zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H94 zenon_H142 zenon_Hf7 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.08 apply (zenon_L47_); trivial. % 0.92/1.08 apply (zenon_L380_); trivial. % 0.92/1.08 (* end of lemma zenon_L381_ *) % 0.92/1.08 assert (zenon_L382_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H114 zenon_H110 zenon_H10d zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_Hf7 zenon_H142 zenon_H94 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H2f zenon_H14c zenon_H12e zenon_H12d zenon_H12c zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_Hd3 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_L67_); trivial. % 0.92/1.08 (* end of lemma zenon_L382_ *) % 0.92/1.08 assert (zenon_L383_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H2f zenon_H13f zenon_H94 zenon_H142 zenon_H10d zenon_H110 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_Hd3 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H4b zenon_H248 zenon_H24a zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L379_); trivial. % 0.92/1.08 apply (zenon_L282_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L382_); trivial. % 0.92/1.08 apply (zenon_L282_); trivial. % 0.92/1.08 (* end of lemma zenon_L383_ *) % 0.92/1.08 assert (zenon_L384_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (~(hskp11)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H175 zenon_H283 zenon_H27c zenon_H27b zenon_H27a zenon_H248. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H15e | zenon_intro zenon_H284 ]. % 0.92/1.08 apply (zenon_L90_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H23e | zenon_intro zenon_H249 ]. % 0.92/1.08 apply (zenon_L376_); trivial. % 0.92/1.08 exact (zenon_H248 zenon_H249). % 0.92/1.08 (* end of lemma zenon_L384_ *) % 0.92/1.08 assert (zenon_L385_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H185 zenon_H283 zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H13f zenon_H94 zenon_H142 zenon_H10d zenon_H110 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_Hd3 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H4b zenon_H248 zenon_H24a zenon_H126 zenon_H17 zenon_H1 zenon_H7 zenon_H7f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 apply (zenon_L89_); trivial. % 0.92/1.08 apply (zenon_L384_); trivial. % 0.92/1.08 (* end of lemma zenon_L385_ *) % 0.92/1.08 assert (zenon_L386_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H189 zenon_H1 zenon_H10d zenon_H110 zenon_H114. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.08 apply (zenon_L116_); trivial. % 0.92/1.08 apply (zenon_L384_); trivial. % 0.92/1.08 (* end of lemma zenon_L386_ *) % 0.92/1.08 assert (zenon_L387_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H2d zenon_H2b zenon_H29 zenon_Hf1 zenon_Hf3 zenon_Hf8 zenon_Hf7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L305_); trivial. % 0.92/1.08 apply (zenon_L212_); trivial. % 0.92/1.08 apply (zenon_L213_); trivial. % 0.92/1.08 (* end of lemma zenon_L387_ *) % 0.92/1.08 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf5 zenon_H45 zenon_H5d zenon_H1 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H29 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L387_); trivial. % 0.92/1.08 apply (zenon_L378_); trivial. % 0.92/1.08 (* end of lemma zenon_L388_ *) % 0.92/1.08 assert (zenon_L389_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H29 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.08 apply (zenon_L47_); trivial. % 0.92/1.08 apply (zenon_L388_); trivial. % 0.92/1.08 (* end of lemma zenon_L389_ *) % 0.92/1.08 assert (zenon_L390_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp8)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5d zenon_He8 zenon_He7 zenon_H1d zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H27a zenon_H27b zenon_H27c zenon_H104 zenon_H105 zenon_H106 zenon_H245 zenon_H1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.08 apply (zenon_L60_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H246 ]. % 0.92/1.08 apply (zenon_L339_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23e | zenon_intro zenon_H19 ]. % 0.92/1.08 apply (zenon_L376_); trivial. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L390_ *) % 0.92/1.08 assert (zenon_L391_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(hskp8)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1898)) -> (~(c1_1 (a1898))) -> (~(c0_1 (a1898))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1da zenon_Haa zenon_Hab zenon_Hac zenon_H244 zenon_H1 zenon_H245 zenon_H106 zenon_H105 zenon_H104 zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H1b zenon_H1c zenon_H1d zenon_He7 zenon_He8 zenon_H5d zenon_Hb7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.08 apply (zenon_L377_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.08 apply (zenon_L390_); trivial. % 0.92/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.08 (* end of lemma zenon_L391_ *) % 0.92/1.08 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hd2 zenon_H244 zenon_Hac zenon_Hab zenon_Haa zenon_H27c zenon_H27b zenon_H27a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha. zenon_intro zenon_Hd4. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hc7. zenon_intro zenon_Hd5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H247 ]. % 0.92/1.08 apply (zenon_L45_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23e | zenon_intro zenon_H1a ]. % 0.92/1.08 apply (zenon_L376_); trivial. % 0.92/1.08 apply (zenon_L52_); trivial. % 0.92/1.08 (* end of lemma zenon_L392_ *) % 0.92/1.08 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hfe zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H1 zenon_H104 zenon_H105 zenon_H106 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.08 apply (zenon_L391_); trivial. % 0.92/1.08 apply (zenon_L392_); trivial. % 0.92/1.08 (* end of lemma zenon_L393_ *) % 0.92/1.08 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1898))) -> (~(c1_1 (a1898))) -> (c3_1 (a1898)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H1 zenon_H104 zenon_H105 zenon_H106 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_H29 zenon_He4. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L58_); trivial. % 0.92/1.08 apply (zenon_L393_); trivial. % 0.92/1.08 (* end of lemma zenon_L394_ *) % 0.92/1.08 assert (zenon_L395_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H10f zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H245 zenon_H1d zenon_H1c zenon_H1b zenon_H1 zenon_H5d zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L305_); trivial. % 0.92/1.08 apply (zenon_L393_); trivial. % 0.92/1.08 apply (zenon_L394_); trivial. % 0.92/1.08 (* end of lemma zenon_L395_ *) % 0.92/1.08 assert (zenon_L396_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H114 zenon_H1da zenon_H245 zenon_H1d zenon_H1c zenon_H1b zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H2d zenon_H29 zenon_Hf1 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L389_); trivial. % 0.92/1.08 apply (zenon_L395_); trivial. % 0.92/1.08 (* end of lemma zenon_L396_ *) % 0.92/1.08 assert (zenon_L397_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H114 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H245 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_Hf7 zenon_H142 zenon_H94 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H2f zenon_H14c zenon_H12e zenon_H12d zenon_H12c zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_Hd3 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_L395_); trivial. % 0.92/1.08 (* end of lemma zenon_L397_ *) % 0.92/1.08 assert (zenon_L398_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H2f zenon_H13f zenon_H94 zenon_H142 zenon_H114 zenon_H1da zenon_H245 zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H2d zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L396_); trivial. % 0.92/1.08 apply (zenon_L71_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L397_); trivial. % 0.92/1.08 apply (zenon_L71_); trivial. % 0.92/1.08 (* end of lemma zenon_L398_ *) % 0.92/1.08 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16d zenon_H4a zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H245 zenon_H5d zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7 zenon_H62 zenon_H63 zenon_H64 zenon_H189 zenon_H1 zenon_H17. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L115_); trivial. % 0.92/1.08 apply (zenon_L395_); trivial. % 0.92/1.08 (* end of lemma zenon_L399_ *) % 0.92/1.08 assert (zenon_L400_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H245 zenon_H5d zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7 zenon_H62 zenon_H63 zenon_H64 zenon_H189 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_L399_); trivial. % 0.92/1.08 (* end of lemma zenon_L400_ *) % 0.92/1.08 assert (zenon_L401_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H10f zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H1 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 apply (zenon_L394_); trivial. % 0.92/1.08 (* end of lemma zenon_L401_ *) % 0.92/1.08 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H44 zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_H62 zenon_H63 zenon_H64 zenon_H1 zenon_H189. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L115_); trivial. % 0.92/1.08 apply (zenon_L401_); trivial. % 0.92/1.08 (* end of lemma zenon_L402_ *) % 0.92/1.08 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16d zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_H62 zenon_H63 zenon_H64 zenon_H189 zenon_H1 zenon_H17. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_L402_); trivial. % 0.92/1.08 (* end of lemma zenon_L403_ *) % 0.92/1.08 assert (zenon_L404_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H80 zenon_H16c zenon_H17 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H189 zenon_H1 zenon_H64 zenon_H63 zenon_H62 zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_He4 zenon_H29 zenon_H1da zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H114 zenon_H4a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L301_); trivial. % 0.92/1.08 apply (zenon_L402_); trivial. % 0.92/1.08 apply (zenon_L403_); trivial. % 0.92/1.08 (* end of lemma zenon_L404_ *) % 0.92/1.08 assert (zenon_L405_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H258 zenon_H210 zenon_H7 zenon_H1 zenon_H17 zenon_H189 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H245 zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H29 zenon_Hf6 zenon_H114 zenon_H4a zenon_H16c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.08 apply (zenon_L400_); trivial. % 0.92/1.08 apply (zenon_L404_); trivial. % 0.92/1.08 (* end of lemma zenon_L405_ *) % 0.92/1.08 assert (zenon_L406_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H126 zenon_H16a zenon_H3d zenon_H208 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H210 zenon_H1de zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H29 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_H114. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L396_); trivial. % 0.92/1.08 apply (zenon_L311_); trivial. % 0.92/1.08 (* end of lemma zenon_L406_ *) % 0.92/1.08 assert (zenon_L407_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c1_1 (a1878)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1da zenon_He7 zenon_H27a zenon_H27b zenon_H27c zenon_Haa zenon_Hab zenon_Hac zenon_H244 zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H1dc zenon_H101 zenon_He8 zenon_H5 zenon_H1de zenon_Hb7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.08 apply (zenon_L377_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.08 apply (zenon_L229_); trivial. % 0.92/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.08 (* end of lemma zenon_L407_ *) % 0.92/1.08 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H116 zenon_H117 zenon_H118 zenon_H208 zenon_H29 zenon_He4. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L58_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.08 apply (zenon_L69_); trivial. % 0.92/1.08 exact (zenon_H29 zenon_H2a). % 0.92/1.08 apply (zenon_L392_); trivial. % 0.92/1.08 (* end of lemma zenon_L408_ *) % 0.92/1.08 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H121 zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H29 zenon_H208 zenon_Hf7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L308_); trivial. % 0.92/1.08 apply (zenon_L408_); trivial. % 0.92/1.08 (* end of lemma zenon_L409_ *) % 0.92/1.08 assert (zenon_L410_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H2f zenon_H13f zenon_H94 zenon_H142 zenon_H114 zenon_H1da zenon_H245 zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H2d zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H1de zenon_H210 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H208 zenon_H3d zenon_H16a zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.08 apply (zenon_L406_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L397_); trivial. % 0.92/1.08 apply (zenon_L409_); trivial. % 0.92/1.08 (* end of lemma zenon_L410_ *) % 0.92/1.08 assert (zenon_L411_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hf7 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hd7 zenon_Hd3 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H146 zenon_H115. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.08 apply (zenon_L95_); trivial. % 0.92/1.08 apply (zenon_L395_); trivial. % 0.92/1.08 (* end of lemma zenon_L411_ *) % 0.92/1.08 assert (zenon_L412_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (ndr1_0) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1da zenon_He8 zenon_He7 zenon_H27a zenon_H27b zenon_H27c zenon_Haa zenon_Hab zenon_Hac zenon_H244 zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_Ha zenon_Hd9 zenon_Hdb zenon_Hda zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_Hb7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.08 apply (zenon_L377_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.08 apply (zenon_L286_); trivial. % 0.92/1.08 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.08 (* end of lemma zenon_L412_ *) % 0.92/1.08 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H121 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H208 zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.08 apply (zenon_L58_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.08 apply (zenon_L412_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.08 apply (zenon_L69_); trivial. % 0.92/1.08 exact (zenon_H29 zenon_H2a). % 0.92/1.08 apply (zenon_L392_); trivial. % 0.92/1.08 (* end of lemma zenon_L413_ *) % 0.92/1.08 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H44 zenon_H126 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H208 zenon_H50 zenon_H52 zenon_H83 zenon_H210 zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_Hf7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H29 zenon_Hf6 zenon_H114. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L411_); trivial. % 0.92/1.08 apply (zenon_L413_); trivial. % 0.92/1.08 (* end of lemma zenon_L414_ *) % 0.92/1.08 assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H80 zenon_H16c zenon_H17 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H1da zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hf7 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H210 zenon_H208 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H126 zenon_H4a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L301_); trivial. % 0.92/1.08 apply (zenon_L414_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_L414_); trivial. % 0.92/1.08 (* end of lemma zenon_L415_ *) % 0.92/1.08 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H175 zenon_H7f zenon_H258 zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_Hf6 zenon_H1da zenon_H1de zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H29 zenon_H208 zenon_Hf7 zenon_H126 zenon_H4a zenon_H16c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L313_); trivial. % 0.92/1.09 apply (zenon_L415_); trivial. % 0.92/1.09 (* end of lemma zenon_L416_ *) % 0.92/1.09 assert (zenon_L417_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H285 zenon_H1af zenon_H208 zenon_H1dc zenon_H1de zenon_H185 zenon_H170 zenon_H10d zenon_H172 zenon_H7e zenon_H16a zenon_H168 zenon_H146 zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H13f zenon_H94 zenon_H142 zenon_H114 zenon_H1da zenon_H245 zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_He4 zenon_H25a zenon_H2d zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H7 zenon_H7f zenon_H189 zenon_H210 zenon_H258 zenon_H1b0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L398_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 apply (zenon_L110_); trivial. % 0.92/1.09 apply (zenon_L405_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L410_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 apply (zenon_L416_); trivial. % 0.92/1.09 apply (zenon_L405_); trivial. % 0.92/1.09 (* end of lemma zenon_L417_ *) % 0.92/1.09 assert (zenon_L418_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H126 zenon_H122 zenon_H11f zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd3 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H5 zenon_H3d zenon_H16a zenon_H114. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L379_); trivial. % 0.92/1.09 apply (zenon_L71_); trivial. % 0.92/1.09 (* end of lemma zenon_L418_ *) % 0.92/1.09 assert (zenon_L419_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp27)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_Hb9 zenon_H90 zenon_Hbb. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.09 apply (zenon_L50_); trivial. % 0.92/1.09 apply (zenon_L392_); trivial. % 0.92/1.09 (* end of lemma zenon_L419_ *) % 0.92/1.09 assert (zenon_L420_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H194 zenon_H1d zenon_H1c zenon_H1b zenon_H87 zenon_H86 zenon_H85 zenon_H64 zenon_H63 zenon_H62 zenon_H1da zenon_H29 zenon_He4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.09 apply (zenon_L58_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.09 apply (zenon_L377_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.09 apply (zenon_L392_); trivial. % 0.92/1.09 (* end of lemma zenon_L420_ *) % 0.92/1.09 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H44 zenon_Hf6 zenon_Hf7 zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H64 zenon_H63 zenon_H62 zenon_H1da zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L419_); trivial. % 0.92/1.09 apply (zenon_L420_); trivial. % 0.92/1.09 (* end of lemma zenon_L421_ *) % 0.92/1.09 assert (zenon_L422_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H283 zenon_H248 zenon_H16c zenon_H4a zenon_Hf6 zenon_Hf7 zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H1da zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_H17 zenon_H1 zenon_H7 zenon_Hb5 zenon_H14c zenon_H115 zenon_H7f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L8_); trivial. % 0.92/1.09 apply (zenon_L421_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 (* end of lemma zenon_L422_ *) % 0.92/1.09 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H29 zenon_He4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.09 apply (zenon_L58_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.09 apply (zenon_L377_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.09 apply (zenon_L77_); trivial. % 0.92/1.09 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.09 apply (zenon_L392_); trivial. % 0.92/1.09 (* end of lemma zenon_L423_ *) % 0.92/1.09 assert (zenon_L424_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.09 apply (zenon_L74_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L419_); trivial. % 0.92/1.09 apply (zenon_L423_); trivial. % 0.92/1.09 (* end of lemma zenon_L424_ *) % 0.92/1.09 assert (zenon_L425_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L211_); trivial. % 0.92/1.09 apply (zenon_L331_); trivial. % 0.92/1.09 (* end of lemma zenon_L425_ *) % 0.92/1.09 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H115 zenon_H208 zenon_H29 zenon_H198 zenon_H19a zenon_H19b zenon_H96 zenon_H1a7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.09 apply (zenon_L47_); trivial. % 0.92/1.09 apply (zenon_L232_); trivial. % 0.92/1.09 (* end of lemma zenon_L426_ *) % 0.92/1.09 assert (zenon_L427_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H208 zenon_H96 zenon_H1a7 zenon_Hb5 zenon_H115 zenon_H45 zenon_H5d zenon_Hd3 zenon_H2d zenon_H24c zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_H1da zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H2f zenon_H10d zenon_H110 zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L8_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.09 apply (zenon_L424_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.09 apply (zenon_L425_); trivial. % 0.92/1.09 apply (zenon_L378_); trivial. % 0.92/1.09 apply (zenon_L67_); trivial. % 0.92/1.09 apply (zenon_L426_); trivial. % 0.92/1.09 (* end of lemma zenon_L427_ *) % 0.92/1.09 assert (zenon_L428_ : ((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H277 zenon_H1ae zenon_H194 zenon_H129 zenon_H24c zenon_H1a7 zenon_H96 zenon_H1b0 zenon_H189 zenon_H7f zenon_H7 zenon_H1 zenon_H17 zenon_H126 zenon_H24a zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd3 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Hb5 zenon_H16a zenon_H114 zenon_H110 zenon_H10d zenon_H142 zenon_H94 zenon_H13f zenon_H14c zenon_H174 zenon_H4a zenon_H16c zenon_H283 zenon_H185 zenon_H258 zenon_H210 zenon_H122 zenon_H25a zenon_H245 zenon_H1da zenon_H146 zenon_H168 zenon_H7e zenon_H172 zenon_H170 zenon_H1de zenon_H1dc zenon_H208 zenon_H1af zenon_H288. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_L385_); trivial. % 0.92/1.09 apply (zenon_L386_); trivial. % 0.92/1.09 apply (zenon_L417_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L8_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.09 apply (zenon_L418_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L382_); trivial. % 0.92/1.09 apply (zenon_L71_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 apply (zenon_L422_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 apply (zenon_L417_); trivial. % 0.92/1.09 (* end of lemma zenon_L428_ *) % 0.92/1.09 assert (zenon_L429_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(hskp11)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b0 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H27a zenon_H27b zenon_H27c zenon_H248 zenon_H283 zenon_H185. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L150_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L161_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 (* end of lemma zenon_L429_ *) % 0.92/1.09 assert (zenon_L430_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> (c1_1 (a1878)) -> (c2_1 (a1878)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1e0 zenon_H19b zenon_H19a zenon_H198 zenon_H83 zenon_H1de zenon_H29 zenon_He7 zenon_He8 zenon_H2d zenon_H5d zenon_H52 zenon_H50 zenon_H59 zenon_H2b zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H1ec zenon_H1ed zenon_H1d2 zenon_H1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.09 apply (zenon_L171_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_L143_); trivial. % 0.92/1.09 apply (zenon_L322_); trivial. % 0.92/1.09 (* end of lemma zenon_L430_ *) % 0.92/1.09 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp24)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp0)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hfe zenon_H208 zenon_H1 zenon_H1d2 zenon_H1ed zenon_H1ec zenon_H87 zenon_H85 zenon_H86 zenon_H2b zenon_H50 zenon_H52 zenon_H5d zenon_H2d zenon_H1de zenon_H83 zenon_H198 zenon_H19a zenon_H19b zenon_H1e0 zenon_H29. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.09 apply (zenon_L171_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.09 apply (zenon_L430_); trivial. % 0.92/1.09 exact (zenon_H29 zenon_H2a). % 0.92/1.09 (* end of lemma zenon_L431_ *) % 0.92/1.09 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H208 zenon_H2d zenon_H2b zenon_H5d zenon_H1 zenon_H1ec zenon_H1ed zenon_H1d2 zenon_H1e0 zenon_H50 zenon_H52 zenon_H83 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.09 apply (zenon_L58_); trivial. % 0.92/1.09 apply (zenon_L431_); trivial. % 0.92/1.09 (* end of lemma zenon_L432_ *) % 0.92/1.09 assert (zenon_L433_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (ndr1_0) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H45 zenon_H5f zenon_H31 zenon_H208 zenon_H29 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H83 zenon_H52 zenon_H50 zenon_H5d zenon_H1 zenon_H1d2 zenon_H1e0 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_Ha zenon_H198 zenon_H19a zenon_H19b zenon_H96 zenon_H1a7 zenon_He4 zenon_H2d zenon_Hf7 zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.09 apply (zenon_L215_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.09 apply (zenon_L171_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.09 apply (zenon_L23_); trivial. % 0.92/1.09 apply (zenon_L322_); trivial. % 0.92/1.09 exact (zenon_H29 zenon_H2a). % 0.92/1.09 apply (zenon_L432_); trivial. % 0.92/1.09 apply (zenon_L25_); trivial. % 0.92/1.09 (* end of lemma zenon_L433_ *) % 0.92/1.09 assert (zenon_L434_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H80 zenon_H7e zenon_H79 zenon_Hf6 zenon_Hf7 zenon_H2d zenon_He4 zenon_H1a7 zenon_H96 zenon_H19b zenon_H19a zenon_H198 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1d2 zenon_H1 zenon_H5d zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_H208 zenon_H31 zenon_H5f zenon_H45. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.09 apply (zenon_L433_); trivial. % 0.92/1.09 apply (zenon_L139_); trivial. % 0.92/1.09 (* end of lemma zenon_L434_ *) % 0.92/1.09 assert (zenon_L435_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H7f zenon_H7e zenon_H79 zenon_Hf6 zenon_Hf7 zenon_He4 zenon_H1a7 zenon_H96 zenon_H19b zenon_H19a zenon_H198 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1d2 zenon_H5d zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H208 zenon_H5f zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H2f zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a zenon_H16c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L136_); trivial. % 0.92/1.09 apply (zenon_L434_); trivial. % 0.92/1.09 (* end of lemma zenon_L435_ *) % 0.92/1.09 assert (zenon_L436_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1af zenon_H189 zenon_H10d zenon_H110 zenon_H114 zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1de zenon_H208 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H1b0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.09 apply (zenon_L429_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L435_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 apply (zenon_L386_); trivial. % 0.92/1.09 (* end of lemma zenon_L436_ *) % 0.92/1.09 assert (zenon_L437_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H2b zenon_H29 zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.09 apply (zenon_L305_); trivial. % 0.92/1.09 apply (zenon_L145_); trivial. % 0.92/1.09 (* end of lemma zenon_L437_ *) % 0.92/1.09 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H29 zenon_H2b zenon_H2d zenon_Hd7 zenon_Hf7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L437_); trivial. % 0.92/1.09 apply (zenon_L146_); trivial. % 0.92/1.09 (* end of lemma zenon_L438_ *) % 0.92/1.09 assert (zenon_L439_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_Hf7 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H29 zenon_H2b zenon_H2d zenon_Hd7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.09 apply (zenon_L151_); trivial. % 0.92/1.09 apply (zenon_L438_); trivial. % 0.92/1.09 (* end of lemma zenon_L439_ *) % 0.92/1.09 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H44 zenon_H126 zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H13f zenon_Hf7 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H5d zenon_H1 zenon_H52 zenon_H50 zenon_H31 zenon_H5f zenon_H45. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.09 apply (zenon_L439_); trivial. % 0.92/1.09 apply (zenon_L25_); trivial. % 0.92/1.09 apply (zenon_L159_); trivial. % 0.92/1.09 (* end of lemma zenon_L440_ *) % 0.92/1.09 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16d zenon_H4a zenon_H126 zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H13f zenon_Hf7 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H5d zenon_H52 zenon_H50 zenon_H31 zenon_H5f zenon_H45 zenon_H1 zenon_H17. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L8_); trivial. % 0.92/1.09 apply (zenon_L440_); trivial. % 0.92/1.09 (* end of lemma zenon_L441_ *) % 0.92/1.09 assert (zenon_L442_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b0 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H5f zenon_H5d zenon_H25a zenon_H6d zenon_H189 zenon_H10d zenon_H110 zenon_H114 zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H168 zenon_H185. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_L156_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L116_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L158_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L301_); trivial. % 0.92/1.09 apply (zenon_L440_); trivial. % 0.92/1.09 apply (zenon_L441_); trivial. % 0.92/1.09 (* end of lemma zenon_L442_ *) % 0.92/1.09 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H29 zenon_H2b zenon_H2d zenon_Hd7 zenon_Hf7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L437_); trivial. % 0.92/1.09 apply (zenon_L331_); trivial. % 0.92/1.09 (* end of lemma zenon_L443_ *) % 0.92/1.09 assert (zenon_L444_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H129 zenon_Hb3 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H29 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_Hf6 zenon_H146. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.09 apply (zenon_L74_); trivial. % 0.92/1.09 apply (zenon_L443_); trivial. % 0.92/1.09 apply (zenon_L17_); trivial. % 0.92/1.09 (* end of lemma zenon_L444_ *) % 0.92/1.09 assert (zenon_L445_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hfe zenon_Hd7 zenon_Hd3 zenon_Hd0 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.09 apply (zenon_L61_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.09 apply (zenon_L77_); trivial. % 0.92/1.09 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.09 apply (zenon_L54_); trivial. % 0.92/1.09 (* end of lemma zenon_L445_ *) % 0.92/1.09 assert (zenon_L446_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a1911)) -> (~(c3_1 (a1911))) -> (~(c1_1 (a1911))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_Hd0 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.09 apply (zenon_L305_); trivial. % 0.92/1.09 apply (zenon_L445_); trivial. % 0.92/1.09 (* end of lemma zenon_L446_ *) % 0.92/1.09 assert (zenon_L447_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (ndr1_0) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2b zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_Hf7 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.09 apply (zenon_L446_); trivial. % 0.92/1.09 apply (zenon_L331_); trivial. % 0.92/1.09 (* end of lemma zenon_L447_ *) % 0.92/1.09 assert (zenon_L448_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H5f zenon_H115 zenon_Hd3 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H146 zenon_Hf6 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H24c zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H13f zenon_H29 zenon_H2d zenon_Hd7 zenon_Hf7 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H16a zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L8_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.09 apply (zenon_L444_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.09 apply (zenon_L447_); trivial. % 0.92/1.09 apply (zenon_L17_); trivial. % 0.92/1.09 apply (zenon_L96_); trivial. % 0.92/1.09 apply (zenon_L159_); trivial. % 0.92/1.09 (* end of lemma zenon_L448_ *) % 0.92/1.09 assert (zenon_L449_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_Hf6 zenon_Hf7 zenon_H2d zenon_He4 zenon_H1a7 zenon_H96 zenon_H19b zenon_H19a zenon_H198 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1 zenon_H5d zenon_H1de zenon_H29 zenon_H208 zenon_H5f zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L158_); trivial. % 0.92/1.09 apply (zenon_L434_); trivial. % 0.92/1.09 (* end of lemma zenon_L449_ *) % 0.92/1.09 assert (zenon_L450_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1ab zenon_H1b0 zenon_H6d zenon_H7f zenon_H7e zenon_H79 zenon_Hf6 zenon_Hf7 zenon_He4 zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1d2 zenon_H5d zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H208 zenon_H5f zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H126 zenon_H115 zenon_Hd3 zenon_H168 zenon_H146 zenon_H1dc zenon_H24c zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H13f zenon_Hd7 zenon_H129 zenon_H16a zenon_H114 zenon_H185. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L435_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L448_); trivial. % 0.92/1.09 apply (zenon_L434_); trivial. % 0.92/1.09 apply (zenon_L449_); trivial. % 0.92/1.09 (* end of lemma zenon_L450_ *) % 0.92/1.09 assert (zenon_L451_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H285 zenon_H1af zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1de zenon_H208 zenon_Hd3 zenon_H1dc zenon_H24c zenon_H16a zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H114 zenon_H110 zenon_H10d zenon_H189 zenon_H6d zenon_H25a zenon_H5d zenon_H5f zenon_H258 zenon_H1b0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_L450_); trivial. % 0.92/1.09 (* end of lemma zenon_L451_ *) % 0.92/1.09 assert (zenon_L452_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H289 zenon_H27c zenon_H27b zenon_H27a zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H15. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H23e | zenon_intro zenon_H28a ]. % 0.92/1.09 apply (zenon_L376_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H16 ]. % 0.92/1.09 apply (zenon_L128_); trivial. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 (* end of lemma zenon_L452_ *) % 0.92/1.09 assert (zenon_L453_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H4a zenon_H45 zenon_H40 zenon_H3d zenon_H2d zenon_H29 zenon_H2f zenon_H31 zenon_H46 zenon_Ha zenon_H27a zenon_H27b zenon_H27c zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H289. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L452_); trivial. % 0.92/1.09 apply (zenon_L18_); trivial. % 0.92/1.09 (* end of lemma zenon_L453_ *) % 0.92/1.09 assert (zenon_L454_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H185 zenon_H283 zenon_H248 zenon_H289 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L453_); trivial. % 0.92/1.09 apply (zenon_L384_); trivial. % 0.92/1.09 (* end of lemma zenon_L454_ *) % 0.92/1.09 assert (zenon_L455_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c1_1 (a1862)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H245 zenon_H83 zenon_H52 zenon_H50 zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H1b9 zenon_H197 zenon_H1bb. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H246 ]. % 0.92/1.09 apply (zenon_L87_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23e | zenon_intro zenon_H19 ]. % 0.92/1.09 apply (zenon_L376_); trivial. % 0.92/1.09 apply (zenon_L178_); trivial. % 0.92/1.09 (* end of lemma zenon_L455_ *) % 0.92/1.09 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H80 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H245 zenon_H27c zenon_H27b zenon_H27a zenon_H1b9 zenon_H1bb. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.09 apply (zenon_L87_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.09 apply (zenon_L36_); trivial. % 0.92/1.09 apply (zenon_L455_); trivial. % 0.92/1.09 (* end of lemma zenon_L456_ *) % 0.92/1.09 assert (zenon_L457_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H1b9 zenon_H1bb zenon_H245 zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.09 apply (zenon_L158_); trivial. % 0.92/1.09 apply (zenon_L456_); trivial. % 0.92/1.09 (* end of lemma zenon_L457_ *) % 0.92/1.09 assert (zenon_L458_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b0 zenon_H7f zenon_H1de zenon_H245 zenon_H6d zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_Ha zenon_H27a zenon_H27b zenon_H27c zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H289 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H11f zenon_H170 zenon_Hd7 zenon_H168 zenon_H13f zenon_H146 zenon_H122 zenon_H126 zenon_H185. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.09 apply (zenon_L453_); trivial. % 0.92/1.09 apply (zenon_L155_); trivial. % 0.92/1.09 apply (zenon_L457_); trivial. % 0.92/1.09 (* end of lemma zenon_L458_ *) % 0.92/1.09 assert (zenon_L459_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (c0_1 (a1858)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_H70 zenon_H71 zenon_H72 zenon_H13f zenon_Hf1 zenon_H138 zenon_H137 zenon_H136 zenon_H1bb zenon_H1b9 zenon_H1ea zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.10 apply (zenon_L305_); trivial. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 (* end of lemma zenon_L459_ *) % 0.92/1.10 assert (zenon_L460_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a1862)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_H1de zenon_H1dc zenon_H5 zenon_H1ba zenon_H1d zenon_H1b zenon_H1c zenon_H1fc zenon_H29 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1ea zenon_H1b9 zenon_H1bb zenon_Hf1 zenon_H13f zenon_H72 zenon_H71 zenon_H70 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L459_); trivial. % 0.92/1.10 apply (zenon_L192_); trivial. % 0.92/1.10 (* end of lemma zenon_L460_ *) % 0.92/1.10 assert (zenon_L461_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H114 zenon_H16a zenon_H3d zenon_H115 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd3 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1ea zenon_Hf3 zenon_Hf8 zenon_H7e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.10 apply (zenon_L460_); trivial. % 0.92/1.10 apply (zenon_L94_); trivial. % 0.92/1.10 apply (zenon_L96_); trivial. % 0.92/1.10 (* end of lemma zenon_L461_ *) % 0.92/1.10 assert (zenon_L462_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> (~(hskp13)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H208 zenon_H5 zenon_H40 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H3d zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H29. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.10 apply (zenon_L170_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 exact (zenon_H29 zenon_H2a). % 0.92/1.10 (* end of lemma zenon_L462_ *) % 0.92/1.10 assert (zenon_L463_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a1862)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H126 zenon_H208 zenon_H198 zenon_H19a zenon_H19b zenon_H40 zenon_H31 zenon_H7e zenon_Hf8 zenon_Hf3 zenon_H1ea zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H1dc zenon_H5 zenon_H1bb zenon_H1b9 zenon_H1ba zenon_H1fc zenon_H29 zenon_He4 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_H1d zenon_H1c zenon_H1b zenon_Hd3 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H115 zenon_H3d zenon_H16a zenon_H114. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L461_); trivial. % 0.92/1.10 apply (zenon_L462_); trivial. % 0.92/1.10 (* end of lemma zenon_L463_ *) % 0.92/1.10 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H29 zenon_He4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 apply (zenon_L130_); trivial. % 0.92/1.10 (* end of lemma zenon_L464_ *) % 0.92/1.10 assert (zenon_L465_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L419_); trivial. % 0.92/1.10 apply (zenon_L464_); trivial. % 0.92/1.10 (* end of lemma zenon_L465_ *) % 0.92/1.10 assert (zenon_L466_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> (ndr1_0) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H4a zenon_H126 zenon_H122 zenon_H11f zenon_H7e zenon_H1ea zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H1de zenon_H1dc zenon_H5 zenon_H1fc zenon_H29 zenon_He4 zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H13f zenon_Hd3 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_Hd7 zenon_H90 zenon_Hbb zenon_H2f zenon_H14c zenon_H115 zenon_H3d zenon_H16a zenon_H114 zenon_Ha zenon_H27a zenon_H27b zenon_H27c zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H289. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L452_); trivial. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 (* end of lemma zenon_L466_ *) % 0.92/1.10 assert (zenon_L467_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H7f zenon_H245 zenon_H289 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H114 zenon_H16a zenon_H3d zenon_H115 zenon_H14c zenon_H2f zenon_Hbb zenon_H90 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hd3 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H1ea zenon_H7e zenon_H11f zenon_H122 zenon_H126 zenon_H4a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.10 apply (zenon_L466_); trivial. % 0.92/1.10 apply (zenon_L456_); trivial. % 0.92/1.10 (* end of lemma zenon_L467_ *) % 0.92/1.10 assert (zenon_L468_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1b4 zenon_H4a zenon_Hf6 zenon_Hf7 zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H1da zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H244 zenon_Hd7 zenon_H27a zenon_H27b zenon_H27c zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H289. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L452_); trivial. % 0.92/1.10 apply (zenon_L421_); trivial. % 0.92/1.10 (* end of lemma zenon_L468_ *) % 0.92/1.10 assert (zenon_L469_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hf7 zenon_H1fe zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4 zenon_Hbb zenon_H90 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L419_); trivial. % 0.92/1.10 apply (zenon_L219_); trivial. % 0.92/1.10 (* end of lemma zenon_L469_ *) % 0.92/1.10 assert (zenon_L470_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H45 zenon_H1fe zenon_H85 zenon_H86 zenon_H87 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H208 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hf7 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L231_); trivial. % 0.92/1.10 apply (zenon_L469_); trivial. % 0.92/1.10 (* end of lemma zenon_L470_ *) % 0.92/1.10 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H44 zenon_H174 zenon_H142 zenon_H94 zenon_H114 zenon_H16a zenon_H3d zenon_H115 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hd3 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1ea zenon_Hf8 zenon_H7e zenon_H11f zenon_H122 zenon_H126. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L461_); trivial. % 0.92/1.10 apply (zenon_L71_); trivial. % 0.92/1.10 apply (zenon_L108_); trivial. % 0.92/1.10 (* end of lemma zenon_L471_ *) % 0.92/1.10 assert (zenon_L472_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H126 zenon_H1da zenon_H210 zenon_H208 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H2d zenon_H29 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H90 zenon_Hbb zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1fe zenon_H45. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L387_); trivial. % 0.92/1.10 apply (zenon_L469_); trivial. % 0.92/1.10 apply (zenon_L409_); trivial. % 0.92/1.10 (* end of lemma zenon_L472_ *) % 0.92/1.10 assert (zenon_L473_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H114 zenon_H110 zenon_H115 zenon_H14c zenon_H2f zenon_Hbb zenon_H90 zenon_Hd7 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd3 zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_He4 zenon_H29 zenon_H1fc zenon_H1ba zenon_H1b9 zenon_H1bb zenon_H5 zenon_H1dc zenon_H1de zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H12c zenon_H12d zenon_H12e zenon_H10d zenon_H172 zenon_H7e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.10 apply (zenon_L196_); trivial. % 0.92/1.10 apply (zenon_L102_); trivial. % 0.92/1.10 apply (zenon_L67_); trivial. % 0.92/1.10 (* end of lemma zenon_L473_ *) % 0.92/1.10 assert (zenon_L474_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H45 zenon_H1fe zenon_H85 zenon_H86 zenon_H87 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H208 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hf7 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L231_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L308_); trivial. % 0.92/1.10 apply (zenon_L219_); trivial. % 0.92/1.10 (* end of lemma zenon_L474_ *) % 0.92/1.10 assert (zenon_L475_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H157 zenon_H126 zenon_H45 zenon_H1fe zenon_H85 zenon_H86 zenon_H87 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H208 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hf7 zenon_Hf6 zenon_Hd7 zenon_H142 zenon_H94 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_H1d zenon_H1c zenon_H1b zenon_H146. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L107_); trivial. % 0.92/1.10 apply (zenon_L474_); trivial. % 0.92/1.10 (* end of lemma zenon_L475_ *) % 0.92/1.10 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H44 zenon_H174 zenon_Hd7 zenon_H142 zenon_H94 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H13f zenon_H146 zenon_H208 zenon_H29 zenon_Hf8 zenon_H50 zenon_H52 zenon_H83 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H126. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.10 apply (zenon_L350_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L107_); trivial. % 0.92/1.10 apply (zenon_L316_); trivial. % 0.92/1.10 (* end of lemma zenon_L476_ *) % 0.92/1.10 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H16d zenon_H208 zenon_H50 zenon_H52 zenon_H1de zenon_H83 zenon_H87 zenon_H86 zenon_H85 zenon_H198 zenon_H19a zenon_H19b zenon_H24c zenon_H29. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.10 apply (zenon_L171_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.10 apply (zenon_L171_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_L6_); trivial. % 0.92/1.10 exact (zenon_H29 zenon_H2a). % 0.92/1.10 (* end of lemma zenon_L477_ *) % 0.92/1.10 assert (zenon_L478_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H80 zenon_H16c zenon_H24c zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H126 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_Hf8 zenon_H29 zenon_H208 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H94 zenon_H142 zenon_Hd7 zenon_H174 zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L301_); trivial. % 0.92/1.10 apply (zenon_L476_); trivial. % 0.92/1.10 apply (zenon_L477_); trivial. % 0.92/1.10 (* end of lemma zenon_L478_ *) % 0.92/1.10 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H80 zenon_H208 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H1 zenon_H5d zenon_H87 zenon_H85 zenon_H86 zenon_H21d zenon_H21e zenon_H21f zenon_H226 zenon_H29. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.10 apply (zenon_L171_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.10 apply (zenon_L250_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.10 apply (zenon_L137_); trivial. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 exact (zenon_H29 zenon_H2a). % 0.92/1.10 (* end of lemma zenon_L479_ *) % 0.92/1.10 assert (zenon_L480_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ab zenon_H1b0 zenon_H7f zenon_H208 zenon_H29 zenon_H5d zenon_H1de zenon_H6d zenon_H79 zenon_H1d2 zenon_H45 zenon_H7e zenon_H21d zenon_H21e zenon_H21f zenon_H40 zenon_H31 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H226. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.10 apply (zenon_L255_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.10 apply (zenon_L158_); trivial. % 0.92/1.10 apply (zenon_L479_); trivial. % 0.92/1.10 (* end of lemma zenon_L480_ *) % 0.92/1.10 assert (zenon_L481_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1af zenon_H208 zenon_H1de zenon_H21d zenon_H21e zenon_H21f zenon_H226 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H1b0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.10 apply (zenon_L429_); trivial. % 0.92/1.10 apply (zenon_L480_); trivial. % 0.92/1.10 (* end of lemma zenon_L481_ *) % 0.92/1.10 assert (zenon_L482_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H285 zenon_Hf6 zenon_H25a zenon_H21d zenon_H21e zenon_H21f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H1 zenon_H226 zenon_Hf7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.10 apply (zenon_L305_); trivial. % 0.92/1.10 apply (zenon_L257_); trivial. % 0.92/1.10 apply (zenon_L251_); trivial. % 0.92/1.10 (* end of lemma zenon_L482_ *) % 0.92/1.10 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H44 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_Hf7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H29 zenon_Hf6 zenon_H114. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L411_); trivial. % 0.92/1.10 apply (zenon_L71_); trivial. % 0.92/1.10 (* end of lemma zenon_L483_ *) % 0.92/1.10 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H175 zenon_H16c zenon_H17 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H1da zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hf7 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L301_); trivial. % 0.92/1.10 apply (zenon_L483_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L8_); trivial. % 0.92/1.10 apply (zenon_L483_); trivial. % 0.92/1.10 (* end of lemma zenon_L484_ *) % 0.92/1.10 assert (zenon_L485_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H174 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H94 zenon_H142 zenon_H5f zenon_H1 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H208 zenon_H126 zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.10 apply (zenon_L158_); trivial. % 0.92/1.10 apply (zenon_L326_); trivial. % 0.92/1.10 (* end of lemma zenon_L485_ *) % 0.92/1.10 assert (zenon_L486_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1af zenon_H174 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H94 zenon_H142 zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H1de zenon_H208 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H1b0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.10 apply (zenon_L429_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_L384_); trivial. % 0.92/1.10 apply (zenon_L485_); trivial. % 0.92/1.10 (* end of lemma zenon_L486_ *) % 0.92/1.10 assert (zenon_L487_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_H5f zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L8_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L154_); trivial. % 0.92/1.10 apply (zenon_L159_); trivial. % 0.92/1.10 (* end of lemma zenon_L487_ *) % 0.92/1.10 assert (zenon_L488_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H285 zenon_H1af zenon_H174 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H94 zenon_H142 zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H1de zenon_H208 zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H114 zenon_H110 zenon_H10d zenon_H189 zenon_H6d zenon_H25a zenon_H5d zenon_H5f zenon_H258 zenon_H1b0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.10 apply (zenon_L487_); trivial. % 0.92/1.10 apply (zenon_L351_); trivial. % 0.92/1.10 apply (zenon_L485_); trivial. % 0.92/1.10 (* end of lemma zenon_L488_ *) % 0.92/1.10 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf5 zenon_H45 zenon_H5d zenon_H1 zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hbb zenon_H90 zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H2d zenon_Hf1 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L365_); trivial. % 0.92/1.10 apply (zenon_L378_); trivial. % 0.92/1.10 (* end of lemma zenon_L489_ *) % 0.92/1.10 assert (zenon_L490_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H10f zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H1 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L320_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 (* end of lemma zenon_L490_ *) % 0.92/1.10 assert (zenon_L491_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H114 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hf3 zenon_Hf1 zenon_H2d zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.10 apply (zenon_L47_); trivial. % 0.92/1.10 apply (zenon_L489_); trivial. % 0.92/1.10 apply (zenon_L490_); trivial. % 0.92/1.10 (* end of lemma zenon_L491_ *) % 0.92/1.10 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c3_1 (a1898)) -> (~(c1_1 (a1898))) -> (~(c0_1 (a1898))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H142 zenon_H94 zenon_H245 zenon_H1d zenon_H1c zenon_H1b zenon_H27c zenon_H27b zenon_H27a zenon_H106 zenon_H105 zenon_H104 zenon_H1 zenon_H5d zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_He4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 0.92/1.10 apply (zenon_L75_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 0.92/1.10 apply (zenon_L390_); trivial. % 0.92/1.10 exact (zenon_H94 zenon_H95). % 0.92/1.10 (* end of lemma zenon_L492_ *) % 0.92/1.10 assert (zenon_L493_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H10f zenon_Hf6 zenon_Hf7 zenon_H142 zenon_H94 zenon_H245 zenon_H1d zenon_H1c zenon_H1b zenon_H27c zenon_H27b zenon_H27a zenon_H1 zenon_H5d zenon_H12e zenon_H12d zenon_H12c zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L320_); trivial. % 0.92/1.10 apply (zenon_L492_); trivial. % 0.92/1.10 (* end of lemma zenon_L493_ *) % 0.92/1.10 assert (zenon_L494_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H157 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd3 zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H14c zenon_H2f zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_H94 zenon_H142 zenon_Hf7 zenon_Hf6 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H114. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.10 apply (zenon_L381_); trivial. % 0.92/1.10 apply (zenon_L493_); trivial. % 0.92/1.10 apply (zenon_L71_); trivial. % 0.92/1.10 (* end of lemma zenon_L494_ *) % 0.92/1.10 assert (zenon_L495_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H2f zenon_H13f zenon_H94 zenon_H142 zenon_H114 zenon_H245 zenon_H1da zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H2d zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L8_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L491_); trivial. % 0.92/1.10 apply (zenon_L71_); trivial. % 0.92/1.10 apply (zenon_L494_); trivial. % 0.92/1.10 (* end of lemma zenon_L495_ *) % 0.92/1.10 assert (zenon_L496_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H208 zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.10 apply (zenon_L320_); trivial. % 0.92/1.10 apply (zenon_L408_); trivial. % 0.92/1.10 (* end of lemma zenon_L496_ *) % 0.92/1.10 assert (zenon_L497_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7f zenon_H14c zenon_H2f zenon_H7 zenon_H1 zenon_H17 zenon_H126 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H208 zenon_H115 zenon_H45 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H2d zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H1da zenon_H245 zenon_H114 zenon_H142 zenon_H94 zenon_H24c zenon_H174 zenon_H4a zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_L491_); trivial. % 0.92/1.11 apply (zenon_L496_); trivial. % 0.92/1.11 apply (zenon_L337_); trivial. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 (* end of lemma zenon_L497_ *) % 0.92/1.11 assert (zenon_L498_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H114 zenon_H1b zenon_H1c zenon_H1d zenon_H245 zenon_H1da zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H2d zenon_H29 zenon_Hf1 zenon_Hf3 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.11 apply (zenon_L389_); trivial. % 0.92/1.11 apply (zenon_L490_); trivial. % 0.92/1.11 (* end of lemma zenon_L498_ *) % 0.92/1.11 assert (zenon_L499_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16c zenon_H4a zenon_H174 zenon_H14c zenon_H2f zenon_H13f zenon_H94 zenon_H142 zenon_H114 zenon_H245 zenon_H1da zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H2d zenon_H29 zenon_Hf8 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H45 zenon_H115 zenon_H11f zenon_H3d zenon_H122 zenon_H126 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_L498_); trivial. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 apply (zenon_L494_); trivial. % 0.92/1.11 (* end of lemma zenon_L499_ *) % 0.92/1.11 assert (zenon_L500_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H115 zenon_H45 zenon_H5d zenon_H1 zenon_Hd0 zenon_Hd3 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H2d zenon_Hf3 zenon_Hf8 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.11 apply (zenon_L424_); trivial. % 0.92/1.11 apply (zenon_L489_); trivial. % 0.92/1.11 (* end of lemma zenon_L500_ *) % 0.92/1.11 assert (zenon_L501_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H157 zenon_H126 zenon_H122 zenon_H3d zenon_H11f zenon_H115 zenon_H45 zenon_H5d zenon_H1 zenon_Hd3 zenon_H2d zenon_H14c zenon_H2f zenon_H94 zenon_H142 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H114. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.11 apply (zenon_L424_); trivial. % 0.92/1.11 apply (zenon_L380_); trivial. % 0.92/1.11 apply (zenon_L493_); trivial. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 (* end of lemma zenon_L501_ *) % 0.92/1.11 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16d zenon_Hf6 zenon_Hf7 zenon_H24c zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.11 apply (zenon_L218_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.11 apply (zenon_L377_); trivial. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 (* end of lemma zenon_L502_ *) % 0.92/1.11 assert (zenon_L503_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H174 zenon_H45 zenon_H1e0 zenon_H1d2 zenon_H5d zenon_H94 zenon_H142 zenon_H208 zenon_Hf8 zenon_H126 zenon_H7 zenon_H1 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H1dc zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H24c zenon_Hf7 zenon_Hf6 zenon_H16c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L502_); trivial. % 0.92/1.11 apply (zenon_L351_); trivial. % 0.92/1.11 (* end of lemma zenon_L503_ *) % 0.92/1.11 assert (zenon_L504_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H126 zenon_H122 zenon_H11f zenon_H115 zenon_H45 zenon_H5d zenon_H1 zenon_Hd3 zenon_Hf8 zenon_Hf3 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Ha zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H90 zenon_Hbb zenon_He4 zenon_H29 zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H5 zenon_H3d zenon_H16a zenon_H114. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.11 apply (zenon_L424_); trivial. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 (* end of lemma zenon_L504_ *) % 0.92/1.11 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16d zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H62 zenon_H63 zenon_H64 zenon_H189 zenon_H1 zenon_H17. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_L490_); trivial. % 0.92/1.11 (* end of lemma zenon_L505_ *) % 0.92/1.11 assert (zenon_L506_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H62 zenon_H63 zenon_H64 zenon_H189 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L505_); trivial. % 0.92/1.11 (* end of lemma zenon_L506_ *) % 0.92/1.11 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H44 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H64 zenon_H63 zenon_H62 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_L420_); trivial. % 0.92/1.11 (* end of lemma zenon_L507_ *) % 0.92/1.11 assert (zenon_L508_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H210 zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_H85 zenon_H86 zenon_H87 zenon_H194 zenon_H7 zenon_H1 zenon_H17 zenon_H189 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H1da zenon_H245 zenon_H5d zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H114 zenon_H4a zenon_H16c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_L506_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L301_); trivial. % 0.92/1.11 apply (zenon_L507_); trivial. % 0.92/1.11 apply (zenon_L403_); trivial. % 0.92/1.11 (* end of lemma zenon_L508_ *) % 0.92/1.11 assert (zenon_L509_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_L464_); trivial. % 0.92/1.11 (* end of lemma zenon_L509_ *) % 0.92/1.11 assert (zenon_L510_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H90 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hd7 zenon_H2d zenon_H29 zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_Hf7 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H146. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L439_); trivial. % 0.92/1.11 apply (zenon_L348_); trivial. % 0.92/1.11 (* end of lemma zenon_L510_ *) % 0.92/1.11 assert (zenon_L511_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16c zenon_H24c zenon_H258 zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H45 zenon_H1fe zenon_H90 zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_Hd7 zenon_H2d zenon_H29 zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_Hf7 zenon_H13f zenon_H1da zenon_H25a zenon_He4 zenon_Hf6 zenon_H146 zenon_H208 zenon_Hbb zenon_H126 zenon_H4a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L301_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_L510_); trivial. % 0.92/1.11 apply (zenon_L366_); trivial. % 0.92/1.11 apply (zenon_L349_); trivial. % 0.92/1.11 (* end of lemma zenon_L511_ *) % 0.92/1.11 assert (zenon_L512_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp18)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H175 zenon_H7f zenon_Hf8 zenon_H94 zenon_H142 zenon_H174 zenon_H4a zenon_H126 zenon_Hbb zenon_H208 zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H1da zenon_H13f zenon_Hf7 zenon_H168 zenon_H29 zenon_H2d zenon_Hd7 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H90 zenon_H1fe zenon_H45 zenon_H24f zenon_H250 zenon_H251 zenon_H258 zenon_H24c zenon_H16c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_L511_); trivial. % 0.92/1.11 apply (zenon_L478_); trivial. % 0.92/1.11 (* end of lemma zenon_L512_ *) % 0.92/1.11 assert (zenon_L513_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c2_1 (a1877)) -> (c3_1 (a1877)) -> (c0_1 (a1877)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (ndr1_0) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1de zenon_Hda zenon_Hdb zenon_Hd9 zenon_H1a zenon_H245 zenon_H83 zenon_H52 zenon_H50 zenon_H27c zenon_H27b zenon_H27a zenon_Ha zenon_H1b9 zenon_H1bb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.11 apply (zenon_L228_); trivial. % 0.92/1.11 apply (zenon_L455_); trivial. % 0.92/1.11 (* end of lemma zenon_L513_ *) % 0.92/1.11 assert (zenon_L514_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1862))) -> (c1_1 (a1862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H80 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H1de zenon_H1b9 zenon_H1bb zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H4f | zenon_intro zenon_H1db ]. % 0.92/1.11 apply (zenon_L377_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a | zenon_intro zenon_Hb8 ]. % 0.92/1.11 apply (zenon_L513_); trivial. % 0.92/1.11 exact (zenon_Hb7 zenon_Hb8). % 0.92/1.11 apply (zenon_L392_); trivial. % 0.92/1.11 (* end of lemma zenon_L514_ *) % 0.92/1.11 assert (zenon_L515_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H199 zenon_Ha zenon_H28b zenon_H28c zenon_H28d. % 0.92/1.11 generalize (zenon_H199 (a1855)). zenon_intro zenon_H28e. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H28e); [ zenon_intro zenon_H9 | zenon_intro zenon_H28f ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H291 | zenon_intro zenon_H290 ]. % 0.92/1.11 exact (zenon_H28b zenon_H291). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H293 | zenon_intro zenon_H292 ]. % 0.92/1.11 exact (zenon_H28c zenon_H293). % 0.92/1.11 exact (zenon_H28d zenon_H292). % 0.92/1.11 (* end of lemma zenon_L515_ *) % 0.92/1.11 assert (zenon_L516_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1a9 zenon_H28d zenon_H28c zenon_H28b zenon_Ha zenon_H153 zenon_H96. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H199 | zenon_intro zenon_H1aa ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H154 | zenon_intro zenon_H97 ]. % 0.92/1.11 exact (zenon_H153 zenon_H154). % 0.92/1.11 exact (zenon_H96 zenon_H97). % 0.92/1.11 (* end of lemma zenon_L516_ *) % 0.92/1.11 assert (zenon_L517_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3f zenon_H1fe zenon_H28d zenon_H28c zenon_H28b zenon_H90. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H199 | zenon_intro zenon_H1ff ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H33 | zenon_intro zenon_H91 ]. % 0.92/1.11 apply (zenon_L15_); trivial. % 0.92/1.11 exact (zenon_H90 zenon_H91). % 0.92/1.11 (* end of lemma zenon_L517_ *) % 0.92/1.11 assert (zenon_L518_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H1 zenon_H4b zenon_H4d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_L517_); trivial. % 0.92/1.11 (* end of lemma zenon_L518_ *) % 0.92/1.11 assert (zenon_L519_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp7)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ae zenon_H92 zenon_H8e zenon_H4d zenon_H1 zenon_H28b zenon_H28c zenon_H28d zenon_H90 zenon_H1fe zenon_H45. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.11 apply (zenon_L518_); trivial. % 0.92/1.11 apply (zenon_L132_); trivial. % 0.92/1.11 (* end of lemma zenon_L519_ *) % 0.92/1.11 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H1e0 zenon_H1b9 zenon_H1ba zenon_H1d2 zenon_H2b zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H29 zenon_He4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_L143_); trivial. % 0.92/1.11 apply (zenon_L238_); trivial. % 0.92/1.11 (* end of lemma zenon_L520_ *) % 0.92/1.11 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1c7 zenon_H45 zenon_H1fe zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H28b zenon_H28c zenon_H28d zenon_H1d2 zenon_H1e0 zenon_Hf7 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L211_); trivial. % 0.92/1.11 apply (zenon_L520_); trivial. % 0.92/1.11 apply (zenon_L517_); trivial. % 0.92/1.11 (* end of lemma zenon_L521_ *) % 0.92/1.11 assert (zenon_L522_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp7)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H26f zenon_Hd7 zenon_H2d zenon_H29 zenon_Hbb zenon_He4 zenon_H1d2 zenon_H1e0 zenon_Hf7 zenon_Hf6 zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H4d zenon_H8e zenon_H92 zenon_H1ae. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.11 apply (zenon_L519_); trivial. % 0.92/1.11 apply (zenon_L521_); trivial. % 0.92/1.11 (* end of lemma zenon_L522_ *) % 0.92/1.11 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp24)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hfe zenon_H24c zenon_H28d zenon_H28c zenon_H28b zenon_H2b zenon_H29 zenon_H2d zenon_Hc zenon_Hd zenon_He. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.11 apply (zenon_L143_); trivial. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 (* end of lemma zenon_L523_ *) % 0.92/1.11 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H29 zenon_He4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L523_); trivial. % 0.92/1.11 (* end of lemma zenon_L524_ *) % 0.92/1.11 assert (zenon_L525_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_L524_); trivial. % 0.92/1.11 (* end of lemma zenon_L525_ *) % 0.92/1.11 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16d zenon_H45 zenon_H1fe zenon_H90 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H24c zenon_Hf7 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L525_); trivial. % 0.92/1.11 apply (zenon_L517_); trivial. % 0.92/1.11 (* end of lemma zenon_L526_ *) % 0.92/1.11 assert (zenon_L527_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16c zenon_H45 zenon_H1fe zenon_H90 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H24c zenon_Hf7 zenon_Hf6 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 (* end of lemma zenon_L527_ *) % 0.92/1.11 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hfe zenon_H5d zenon_H29 zenon_H2d zenon_H2b zenon_H86 zenon_H85 zenon_H87 zenon_H70 zenon_H71 zenon_H72 zenon_H1d2 zenon_H1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.11 apply (zenon_L143_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.11 apply (zenon_L138_); trivial. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 (* end of lemma zenon_L528_ *) % 0.92/1.11 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H5d zenon_H1 zenon_H70 zenon_H71 zenon_H72 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H2b zenon_H2d zenon_H29 zenon_He4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L528_); trivial. % 0.92/1.11 (* end of lemma zenon_L529_ *) % 0.92/1.11 assert (zenon_L530_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H5d zenon_H1 zenon_H70 zenon_H71 zenon_H72 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H2b zenon_H2d zenon_H29 zenon_He4 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_L529_); trivial. % 0.92/1.11 (* end of lemma zenon_L530_ *) % 0.92/1.11 assert (zenon_L531_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp8)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp0)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3f zenon_H208 zenon_H28d zenon_H28c zenon_H28b zenon_H1 zenon_H50 zenon_H52 zenon_H5d zenon_H29. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.11 apply (zenon_L24_); trivial. % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 (* end of lemma zenon_L531_ *) % 0.92/1.11 assert (zenon_L532_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7e zenon_H45 zenon_H208 zenon_H50 zenon_H52 zenon_H28d zenon_H28c zenon_H28b zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H2d zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H5d zenon_Hf7 zenon_Hf6 zenon_H15 zenon_H11f zenon_H170. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.11 apply (zenon_L101_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L530_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 (* end of lemma zenon_L532_ *) % 0.92/1.11 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H121 zenon_H208 zenon_H28d zenon_H28c zenon_H28b zenon_H29. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.11 apply (zenon_L69_); trivial. % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 (* end of lemma zenon_L533_ *) % 0.92/1.11 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H44 zenon_H126 zenon_H208 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H28b zenon_H28c zenon_H28d zenon_H90 zenon_H1fe zenon_H45. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L153_); trivial. % 0.92/1.11 apply (zenon_L517_); trivial. % 0.92/1.11 apply (zenon_L533_); trivial. % 0.92/1.11 (* end of lemma zenon_L534_ *) % 0.92/1.11 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H175 zenon_H7f zenon_H4a zenon_H126 zenon_H146 zenon_H13f zenon_H168 zenon_Hd7 zenon_H170 zenon_H11f zenon_H5d zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H208 zenon_H7e zenon_H7 zenon_H1 zenon_Hf6 zenon_Hf7 zenon_H24c zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H90 zenon_H1fe zenon_H45 zenon_H16c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_L527_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.11 apply (zenon_L532_); trivial. % 0.92/1.11 apply (zenon_L534_); trivial. % 0.92/1.11 (* end of lemma zenon_L535_ *) % 0.92/1.11 assert (zenon_L536_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> (ndr1_0) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H126 zenon_Ha zenon_H28b zenon_H28c zenon_H28d zenon_Hf8 zenon_Hf3 zenon_H52 zenon_H50 zenon_H29 zenon_H208. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 apply (zenon_L533_); trivial. % 0.92/1.11 (* end of lemma zenon_L536_ *) % 0.92/1.11 assert (zenon_L537_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H80 zenon_H174 zenon_H45 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H1e0 zenon_H1d2 zenon_H1 zenon_H5d zenon_H94 zenon_H142 zenon_Hf6 zenon_H208 zenon_H29 zenon_Hf8 zenon_H28d zenon_H28c zenon_H28b zenon_H126. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_L536_); trivial. % 0.92/1.11 apply (zenon_L325_); trivial. % 0.92/1.11 (* end of lemma zenon_L537_ *) % 0.92/1.11 assert (zenon_L538_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H174 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H1e0 zenon_H1d2 zenon_H5d zenon_H94 zenon_H142 zenon_H208 zenon_Hf8 zenon_H126 zenon_H7 zenon_H1 zenon_Hf6 zenon_Hf7 zenon_H24c zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H90 zenon_H1fe zenon_H45 zenon_H16c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_L527_); trivial. % 0.92/1.11 apply (zenon_L537_); trivial. % 0.92/1.11 (* end of lemma zenon_L538_ *) % 0.92/1.11 assert (zenon_L539_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H274 zenon_Hb5 zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H1 zenon_H4d zenon_H1b0 zenon_H208 zenon_H24c zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H79 zenon_H1d2 zenon_H7e zenon_H7 zenon_H17 zenon_H46 zenon_H29 zenon_H2d zenon_H40 zenon_H4a zenon_H16c zenon_H168 zenon_H185 zenon_Hf8 zenon_H142 zenon_H94 zenon_H1e0 zenon_H1de zenon_H174 zenon_H1af zenon_H1ae. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.11 apply (zenon_L518_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.11 apply (zenon_L156_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.11 apply (zenon_L161_); trivial. % 0.92/1.11 apply (zenon_L535_); trivial. % 0.92/1.11 apply (zenon_L538_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.11 apply (zenon_L518_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.11 apply (zenon_L527_); trivial. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_L535_); trivial. % 0.92/1.11 apply (zenon_L538_); trivial. % 0.92/1.11 (* end of lemma zenon_L539_ *) % 0.92/1.11 assert (zenon_L540_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1c7 zenon_H45 zenon_H1fe zenon_H90 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H1d2 zenon_H1e0 zenon_Hf7 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.11 apply (zenon_L320_); trivial. % 0.92/1.11 apply (zenon_L520_); trivial. % 0.92/1.11 apply (zenon_L517_); trivial. % 0.92/1.11 (* end of lemma zenon_L540_ *) % 0.92/1.11 assert (zenon_L541_ : ((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1860))/\((~(c0_1 (a1860)))/\(~(c2_1 (a1860))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H294 zenon_H295 zenon_H226 zenon_H26f zenon_Hd7 zenon_H2d zenon_H29 zenon_Hbb zenon_He4 zenon_H1d2 zenon_H1e0 zenon_Hf7 zenon_Hf6 zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H4d zenon_H92 zenon_H1ae zenon_H274 zenon_Hb5 zenon_H1b0 zenon_H208 zenon_H24c zenon_H262 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_H1da zenon_H13f zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H79 zenon_H7e zenon_H7 zenon_H17 zenon_H46 zenon_H40 zenon_H4a zenon_H16c zenon_H168 zenon_H185 zenon_Hf8 zenon_H142 zenon_H1de zenon_H174 zenon_H1af zenon_H273. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.11 apply (zenon_L522_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.11 apply (zenon_L539_); trivial. % 0.92/1.11 apply (zenon_L540_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.11 apply (zenon_L522_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.11 apply (zenon_L373_); trivial. % 0.92/1.11 apply (zenon_L540_); trivial. % 0.92/1.11 (* end of lemma zenon_L541_ *) % 0.92/1.11 assert (zenon_L542_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a1860))/\((~(c0_1 (a1860)))/\(~(c2_1 (a1860))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861))))))) -> (ndr1_0) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H298 zenon_H295 zenon_H226 zenon_H26f zenon_Hd7 zenon_H2d zenon_H29 zenon_Hbb zenon_He4 zenon_H1d2 zenon_H1e0 zenon_Hf7 zenon_Hf6 zenon_H45 zenon_H1fe zenon_H90 zenon_H4d zenon_H92 zenon_H1ae zenon_H274 zenon_Hb5 zenon_H1b0 zenon_H208 zenon_H24c zenon_H262 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_H1da zenon_H13f zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H79 zenon_H7e zenon_H7 zenon_H17 zenon_H46 zenon_H40 zenon_H4a zenon_H16c zenon_H168 zenon_H185 zenon_Hf8 zenon_H142 zenon_H1de zenon_H174 zenon_H1af zenon_H273 zenon_Ha zenon_H28b zenon_H28c zenon_H28d zenon_H153 zenon_H1a9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 0.92/1.11 apply (zenon_L516_); trivial. % 0.92/1.11 apply (zenon_L541_); trivial. % 0.92/1.11 (* end of lemma zenon_L542_ *) % 0.92/1.11 assert (zenon_L543_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a1861))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H83 zenon_H52 zenon_H50 zenon_H1ed zenon_H1ec zenon_H178 zenon_H1f5 zenon_Ha zenon_H2f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H147 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hbd | zenon_intro zenon_H30 ]. % 0.92/1.11 apply (zenon_L185_); trivial. % 0.92/1.11 exact (zenon_H2f zenon_H30). % 0.92/1.11 (* end of lemma zenon_L543_ *) % 0.92/1.11 assert (zenon_L544_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp15)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp0)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H80 zenon_H208 zenon_H2f zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H14c zenon_H28b zenon_H28c zenon_H28d zenon_H1e0 zenon_H29. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.11 apply (zenon_L515_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 apply (zenon_L543_); trivial. % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 (* end of lemma zenon_L544_ *) % 0.92/1.11 assert (zenon_L545_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_H6d zenon_H28b zenon_H28c zenon_H28d zenon_H1e0 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H14c zenon_H29 zenon_H208 zenon_H7f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L158_); trivial. % 0.92/1.12 apply (zenon_L544_); trivial. % 0.92/1.12 apply (zenon_L384_); trivial. % 0.92/1.12 (* end of lemma zenon_L545_ *) % 0.92/1.12 assert (zenon_L546_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(hskp11)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b0 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H6d zenon_H7f zenon_H208 zenon_H14c zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H28d zenon_H28c zenon_H28b zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H27a zenon_H27b zenon_H27c zenon_H248 zenon_H283 zenon_H185. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 apply (zenon_L544_); trivial. % 0.92/1.12 apply (zenon_L384_); trivial. % 0.92/1.12 apply (zenon_L545_); trivial. % 0.92/1.12 (* end of lemma zenon_L546_ *) % 0.92/1.12 assert (zenon_L547_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H2b zenon_H29 zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_Hf7. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.12 apply (zenon_L305_); trivial. % 0.92/1.12 apply (zenon_L523_); trivial. % 0.92/1.12 apply (zenon_L524_); trivial. % 0.92/1.12 (* end of lemma zenon_L547_ *) % 0.92/1.12 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16d zenon_H45 zenon_H1fe zenon_H90 zenon_Hf7 zenon_H24c zenon_H29 zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L547_); trivial. % 0.92/1.12 apply (zenon_L517_); trivial. % 0.92/1.12 (* end of lemma zenon_L548_ *) % 0.92/1.12 assert (zenon_L549_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H45 zenon_H1fe zenon_H90 zenon_Hf7 zenon_H24c zenon_H29 zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L548_); trivial. % 0.92/1.12 (* end of lemma zenon_L549_ *) % 0.92/1.12 assert (zenon_L550_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf7 zenon_H5d zenon_H1 zenon_H70 zenon_H71 zenon_H72 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H29 zenon_H2b zenon_H2d zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.12 apply (zenon_L305_); trivial. % 0.92/1.12 apply (zenon_L528_); trivial. % 0.92/1.12 (* end of lemma zenon_L550_ *) % 0.92/1.12 assert (zenon_L551_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H2d zenon_H2b zenon_H29 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H72 zenon_H71 zenon_H70 zenon_H1 zenon_H5d zenon_Hf7. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.12 apply (zenon_L550_); trivial. % 0.92/1.12 apply (zenon_L529_); trivial. % 0.92/1.12 (* end of lemma zenon_L551_ *) % 0.92/1.12 assert (zenon_L552_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7e zenon_H45 zenon_H208 zenon_H50 zenon_H52 zenon_H28d zenon_H28c zenon_H28b zenon_Hf7 zenon_H5d zenon_H1 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H29 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H15 zenon_H11f zenon_H170. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.12 apply (zenon_L101_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L551_); trivial. % 0.92/1.12 apply (zenon_L531_); trivial. % 0.92/1.12 (* end of lemma zenon_L552_ *) % 0.92/1.12 assert (zenon_L553_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H299 zenon_H12e zenon_H12d zenon_H12c zenon_H64 zenon_H63 zenon_H62 zenon_Ha zenon_H127. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H12b | zenon_intro zenon_H29a ]. % 0.92/1.12 apply (zenon_L75_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H61 | zenon_intro zenon_H128 ]. % 0.92/1.12 apply (zenon_L28_); trivial. % 0.92/1.12 exact (zenon_H127 zenon_H128). % 0.92/1.12 (* end of lemma zenon_L553_ *) % 0.92/1.12 assert (zenon_L554_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a1875))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H299 zenon_H64 zenon_H63 zenon_H62 zenon_H12e zenon_H12d zenon_H12c zenon_Ha zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H29 zenon_H13f zenon_Hf1 zenon_H1d zenon_H1c zenon_H1b zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H146. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.12 apply (zenon_L553_); trivial. % 0.92/1.12 apply (zenon_L438_); trivial. % 0.92/1.12 apply (zenon_L517_); trivial. % 0.92/1.12 (* end of lemma zenon_L554_ *) % 0.92/1.12 assert (zenon_L555_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H157 zenon_H126 zenon_H208 zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_H13f zenon_H29 zenon_H2d zenon_Hd7 zenon_Hf7 zenon_H62 zenon_H63 zenon_H64 zenon_H299 zenon_H28b zenon_H28c zenon_H28d zenon_H90 zenon_H1fe zenon_H45. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.12 apply (zenon_L554_); trivial. % 0.92/1.12 apply (zenon_L533_); trivial. % 0.92/1.12 (* end of lemma zenon_L555_ *) % 0.92/1.12 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H44 zenon_H174 zenon_H146 zenon_H1da zenon_H13f zenon_Hd7 zenon_H62 zenon_H63 zenon_H64 zenon_H299 zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_Hf7 zenon_Hf8 zenon_H29 zenon_H2d zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H208 zenon_H126. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L387_); trivial. % 0.92/1.12 apply (zenon_L517_); trivial. % 0.92/1.12 apply (zenon_L533_); trivial. % 0.92/1.12 apply (zenon_L555_); trivial. % 0.92/1.12 (* end of lemma zenon_L556_ *) % 0.92/1.12 assert (zenon_L557_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H4a zenon_H174 zenon_H146 zenon_H1da zenon_H13f zenon_Hd7 zenon_H299 zenon_Hf8 zenon_H126 zenon_H170 zenon_H11f zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H5d zenon_H208 zenon_H7e zenon_H7 zenon_H1 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H29 zenon_H24c zenon_Hf7 zenon_H90 zenon_H1fe zenon_H45 zenon_H16c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L549_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.12 apply (zenon_L552_); trivial. % 0.92/1.12 apply (zenon_L556_); trivial. % 0.92/1.12 (* end of lemma zenon_L557_ *) % 0.92/1.12 assert (zenon_L558_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b0 zenon_H174 zenon_H299 zenon_Hf8 zenon_H5d zenon_H208 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H28b zenon_H28c zenon_H28d zenon_H24c zenon_H90 zenon_H1fe zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H168 zenon_H185. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_L557_); trivial. % 0.92/1.12 (* end of lemma zenon_L558_ *) % 0.92/1.12 assert (zenon_L559_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H285 zenon_H1af zenon_H6d zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1e0 zenon_H1de zenon_H5f zenon_Hd3 zenon_H1dc zenon_H16a zenon_H114 zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H1fe zenon_H90 zenon_H24c zenon_H28d zenon_H28c zenon_H28b zenon_H25a zenon_H208 zenon_H5d zenon_Hf8 zenon_H299 zenon_H174 zenon_H1b0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.12 apply (zenon_L558_); trivial. % 0.92/1.12 apply (zenon_L450_); trivial. % 0.92/1.12 (* end of lemma zenon_L559_ *) % 0.92/1.12 assert (zenon_L560_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H185 zenon_H4a zenon_H126 zenon_H146 zenon_H13f zenon_H168 zenon_Hd7 zenon_H170 zenon_H11f zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H5d zenon_H208 zenon_H7e zenon_H16c zenon_H45 zenon_H1fe zenon_H90 zenon_Hf7 zenon_H24c zenon_H29 zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_Hf6 zenon_H1 zenon_H7 zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_H14c zenon_H115 zenon_H7f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L549_); trivial. % 0.92/1.12 apply (zenon_L89_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L549_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.12 apply (zenon_L552_); trivial. % 0.92/1.12 apply (zenon_L534_); trivial. % 0.92/1.12 (* end of lemma zenon_L560_ *) % 0.92/1.12 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16d zenon_H45 zenon_H1fe zenon_H28d zenon_H28c zenon_H28b zenon_Hd7 zenon_H2d zenon_H29 zenon_H90 zenon_Hbb zenon_He4 zenon_H24c zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hf7 zenon_Hf6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L425_); trivial. % 0.92/1.12 apply (zenon_L517_); trivial. % 0.92/1.12 (* end of lemma zenon_L561_ *) % 0.92/1.12 assert (zenon_L562_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7f zenon_H208 zenon_H14c zenon_H2f zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H7 zenon_H1 zenon_Hf6 zenon_Hf7 zenon_H1da zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H24c zenon_He4 zenon_Hbb zenon_H90 zenon_H29 zenon_H2d zenon_Hd7 zenon_H28b zenon_H28c zenon_H28d zenon_H1fe zenon_H45 zenon_H16c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L561_); trivial. % 0.92/1.12 apply (zenon_L544_); trivial. % 0.92/1.12 (* end of lemma zenon_L562_ *) % 0.92/1.12 assert (zenon_L563_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H29b zenon_Ha zenon_H29c zenon_H29d zenon_H29e. % 0.92/1.12 generalize (zenon_H29b (a1853)). zenon_intro zenon_H29f. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2a2 | zenon_intro zenon_H2a1 ]. % 0.92/1.12 exact (zenon_H29c zenon_H2a2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 0.92/1.12 exact (zenon_H2a4 zenon_H29d). % 0.92/1.12 exact (zenon_H2a3 zenon_H29e). % 0.92/1.12 (* end of lemma zenon_L563_ *) % 0.92/1.12 assert (zenon_L564_ : (forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2a5 zenon_Ha zenon_Hab zenon_H59 zenon_Haa zenon_Hac. % 0.92/1.12 generalize (zenon_H2a5 (a1863)). zenon_intro zenon_H2a6. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a7 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 exact (zenon_Hab zenon_Hb2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_Hb1 ]. % 0.92/1.12 generalize (zenon_H59 (a1863)). zenon_intro zenon_H2aa. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ab ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 0.92/1.12 exact (zenon_H2a9 zenon_H2ad). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 0.92/1.12 exact (zenon_Haa zenon_Hb0). % 0.92/1.12 exact (zenon_Hb1 zenon_Hac). % 0.92/1.12 exact (zenon_Hb1 zenon_Hac). % 0.92/1.12 (* end of lemma zenon_L564_ *) % 0.92/1.12 assert (zenon_L565_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_Hab zenon_H59 zenon_Haa zenon_Hac. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29b | zenon_intro zenon_H2af ]. % 0.92/1.12 apply (zenon_L563_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H2a5 ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_L564_); trivial. % 0.92/1.12 (* end of lemma zenon_L565_ *) % 0.92/1.12 assert (zenon_L566_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (ndr1_0) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H122 zenon_Hac zenon_Haa zenon_Hab zenon_Ha zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H11f zenon_H3d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H59 | zenon_intro zenon_H125 ]. % 0.92/1.12 apply (zenon_L565_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H120 | zenon_intro zenon_H3e ]. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 exact (zenon_H3d zenon_H3e). % 0.92/1.12 (* end of lemma zenon_L566_ *) % 0.92/1.12 assert (zenon_L567_ : (forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2a5 zenon_Ha zenon_Hab zenon_H12b zenon_Haa zenon_Hac. % 0.92/1.12 generalize (zenon_H2a5 (a1863)). zenon_intro zenon_H2a6. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a7 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 exact (zenon_Hab zenon_Hb2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_Hb1 ]. % 0.92/1.12 generalize (zenon_H12b (a1863)). zenon_intro zenon_H2b0. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b1 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.92/1.12 exact (zenon_H2a9 zenon_H2ad). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.92/1.12 exact (zenon_Haa zenon_Hb0). % 0.92/1.12 exact (zenon_Hab zenon_Hb2). % 0.92/1.12 exact (zenon_Hb1 zenon_Hac). % 0.92/1.12 (* end of lemma zenon_L567_ *) % 0.92/1.12 assert (zenon_L568_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_Hab zenon_H12b zenon_Haa zenon_Hac. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29b | zenon_intro zenon_H2af ]. % 0.92/1.12 apply (zenon_L563_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H2a5 ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_L567_); trivial. % 0.92/1.12 (* end of lemma zenon_L568_ *) % 0.92/1.12 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp3)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7b zenon_H172 zenon_Hac zenon_Haa zenon_Hab zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H10d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.92/1.12 apply (zenon_L568_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_L31_); trivial. % 0.92/1.12 exact (zenon_H10d zenon_H10e). % 0.92/1.12 (* end of lemma zenon_L569_ *) % 0.92/1.12 assert (zenon_L570_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7e zenon_H172 zenon_H10d zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.12 apply (zenon_L30_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 (* end of lemma zenon_L570_ *) % 0.92/1.12 assert (zenon_L571_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (c2_1 (a1877)) -> (c3_1 (a1877)) -> (c0_1 (a1877)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a1868)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_Hda zenon_Hdb zenon_Hd9 zenon_H1a zenon_Ha zenon_H179 zenon_H33 zenon_H17b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.12 apply (zenon_L87_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.12 apply (zenon_L228_); trivial. % 0.92/1.12 apply (zenon_L245_); trivial. % 0.92/1.12 (* end of lemma zenon_L571_ *) % 0.92/1.12 assert (zenon_L572_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1878)) -> (c1_1 (a1878)) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H5d zenon_He8 zenon_He7 zenon_H17b zenon_H179 zenon_Ha zenon_H1a zenon_Hd9 zenon_Hdb zenon_Hda zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H1. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.12 apply (zenon_L60_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.12 apply (zenon_L571_); trivial. % 0.92/1.12 exact (zenon_H1 zenon_H2). % 0.92/1.12 (* end of lemma zenon_L572_ *) % 0.92/1.12 assert (zenon_L573_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ab zenon_H115 zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H96 zenon_H1a7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.12 apply (zenon_L47_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.12 apply (zenon_L123_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.12 apply (zenon_L565_); trivial. % 0.92/1.12 exact (zenon_H29 zenon_H2a). % 0.92/1.12 (* end of lemma zenon_L573_ *) % 0.92/1.12 assert (zenon_L574_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2b3 zenon_H29e zenon_H29d zenon_H29c zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H5. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H29b | zenon_intro zenon_H2b4 ]. % 0.92/1.12 apply (zenon_L563_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H6 ]. % 0.92/1.12 apply (zenon_L128_); trivial. % 0.92/1.12 exact (zenon_H5 zenon_H6). % 0.92/1.12 (* end of lemma zenon_L574_ *) % 0.92/1.12 assert (zenon_L575_ : ((hskp18)\/((hskp10)\/(hskp15))) -> (~(hskp18)) -> (~(hskp10)) -> (~(hskp15)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2b5 zenon_H15 zenon_H4b zenon_H2f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H16 | zenon_intro zenon_H2b6 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H4c | zenon_intro zenon_H30 ]. % 0.92/1.12 exact (zenon_H4b zenon_H4c). % 0.92/1.12 exact (zenon_H2f zenon_H30). % 0.92/1.12 (* end of lemma zenon_L575_ *) % 0.92/1.12 assert (zenon_L576_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp15)) -> ((hskp18)\/((hskp10)\/(hskp15))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H4a zenon_Hf6 zenon_Hf7 zenon_H1c5 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H29 zenon_He4 zenon_H1d8 zenon_H4b zenon_H2f zenon_H2b5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.12 apply (zenon_L575_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.12 apply (zenon_L142_); trivial. % 0.92/1.12 apply (zenon_L464_); trivial. % 0.92/1.12 (* end of lemma zenon_L576_ *) % 0.92/1.12 assert (zenon_L577_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1c5 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H83 zenon_H52 zenon_H23e zenon_Ha zenon_H4b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c6 ]. % 0.92/1.12 apply (zenon_L128_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H4c ]. % 0.92/1.12 generalize (zenon_H1c2 (a1872)). zenon_intro zenon_H2b7. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b8 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H58 | zenon_intro zenon_H15c ]. % 0.92/1.12 generalize (zenon_H23e (a1872)). zenon_intro zenon_H23f. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H51 | zenon_intro zenon_H15c ]. % 0.92/1.12 exact (zenon_H58 zenon_H51). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H57 | zenon_intro zenon_H15d ]. % 0.92/1.12 exact (zenon_H57 zenon_H52). % 0.92/1.12 exact (zenon_H15d zenon_H83). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H57 | zenon_intro zenon_H15d ]. % 0.92/1.12 exact (zenon_H57 zenon_H52). % 0.92/1.12 exact (zenon_H15d zenon_H83). % 0.92/1.12 exact (zenon_H4b zenon_H4c). % 0.92/1.12 (* end of lemma zenon_L577_ *) % 0.92/1.12 assert (zenon_L578_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp10)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H283 zenon_H161 zenon_H160 zenon_H15f zenon_H4b zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1c5 zenon_H248. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H15e | zenon_intro zenon_H284 ]. % 0.92/1.12 apply (zenon_L90_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H23e | zenon_intro zenon_H249 ]. % 0.92/1.12 apply (zenon_L577_); trivial. % 0.92/1.12 exact (zenon_H248 zenon_H249). % 0.92/1.12 (* end of lemma zenon_L578_ *) % 0.92/1.12 assert (zenon_L579_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H175 zenon_H7f zenon_H283 zenon_H248 zenon_H4b zenon_H1c5 zenon_H29c zenon_H29d zenon_H29e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L578_); trivial. % 0.92/1.12 (* end of lemma zenon_L579_ *) % 0.92/1.12 assert (zenon_L580_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf7 zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.12 apply (zenon_L305_); trivial. % 0.92/1.12 apply (zenon_L130_); trivial. % 0.92/1.12 (* end of lemma zenon_L580_ *) % 0.92/1.12 assert (zenon_L581_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H285 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H4b zenon_H1c5 zenon_Hf7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.12 apply (zenon_L580_); trivial. % 0.92/1.12 apply (zenon_L464_); trivial. % 0.92/1.12 (* end of lemma zenon_L581_ *) % 0.92/1.12 assert (zenon_L582_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp10)) -> ((hskp18)\/((hskp10)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H288 zenon_H25a zenon_H7f zenon_H4a zenon_Hf6 zenon_Hf7 zenon_H1c5 zenon_H29 zenon_He4 zenon_H1d8 zenon_H4b zenon_H2b5 zenon_Ha zenon_H29c zenon_H29d zenon_H29e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2b3 zenon_H283 zenon_H185. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L576_); trivial. % 0.92/1.12 apply (zenon_L579_); trivial. % 0.92/1.12 apply (zenon_L581_); trivial. % 0.92/1.12 (* end of lemma zenon_L582_ *) % 0.92/1.12 assert (zenon_L583_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (c1_1 (a1875)) -> (c0_1 (a1875)) -> (~(c3_1 (a1875))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_Hd7 zenon_H2d zenon_H29 zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H1d8 zenon_H1c zenon_H1b zenon_H1d zenon_H83 zenon_H52 zenon_H50 zenon_He4 zenon_H1da zenon_Hf1 zenon_H13f zenon_Hf7 zenon_Hf6 zenon_H146. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_L147_); trivial. % 0.92/1.12 apply (zenon_L17_); trivial. % 0.92/1.12 (* end of lemma zenon_L583_ *) % 0.92/1.12 assert (zenon_L584_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H4a zenon_H126 zenon_H122 zenon_H146 zenon_Hf6 zenon_Hf7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H3d zenon_H40 zenon_H170 zenon_H11f zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.12 apply (zenon_L140_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.12 apply (zenon_L583_); trivial. % 0.92/1.12 apply (zenon_L71_); trivial. % 0.92/1.12 (* end of lemma zenon_L584_ *) % 0.92/1.12 assert (zenon_L585_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H1de zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H29c zenon_H29d zenon_H29e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L208_); trivial. % 0.92/1.12 (* end of lemma zenon_L585_ *) % 0.92/1.12 assert (zenon_L586_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp24)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1862)) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H79 zenon_H2b zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H1ba zenon_H178 zenon_H1b9 zenon_Ha zenon_H31. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H33 | zenon_intro zenon_H7a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H6f | zenon_intro zenon_H1d3 ]. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2c ]. % 0.92/1.12 apply (zenon_L137_); trivial. % 0.92/1.12 exact (zenon_H2b zenon_H2c). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6f | zenon_intro zenon_H32 ]. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 exact (zenon_H31 zenon_H32). % 0.92/1.12 (* end of lemma zenon_L586_ *) % 0.92/1.12 assert (zenon_L587_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H45 zenon_H40 zenon_H3d zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H1e0 zenon_H1d2 zenon_H1ba zenon_H1b9 zenon_H31 zenon_H79 zenon_H29 zenon_H208. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.12 apply (zenon_L23_); trivial. % 0.92/1.12 apply (zenon_L586_); trivial. % 0.92/1.12 exact (zenon_H29 zenon_H2a). % 0.92/1.12 apply (zenon_L17_); trivial. % 0.92/1.12 (* end of lemma zenon_L587_ *) % 0.92/1.12 assert (zenon_L588_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b0 zenon_H7f zenon_H1de zenon_H194 zenon_H87 zenon_H86 zenon_H85 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2b3 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H11f zenon_H122. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_L566_); trivial. % 0.92/1.12 apply (zenon_L585_); trivial. % 0.92/1.12 (* end of lemma zenon_L588_ *) % 0.92/1.12 assert (zenon_L589_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H208 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_Hac zenon_Haa zenon_Hab zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H29. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.12 apply (zenon_L565_); trivial. % 0.92/1.12 exact (zenon_H29 zenon_H2a). % 0.92/1.12 (* end of lemma zenon_L589_ *) % 0.92/1.12 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((hskp18)\/((hskp10)\/(hskp15))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1c7 zenon_H274 zenon_H2ae zenon_H288 zenon_H25a zenon_H7f zenon_H4a zenon_Hf6 zenon_Hf7 zenon_H1c5 zenon_H29 zenon_He4 zenon_H1d8 zenon_H2b5 zenon_H29c zenon_H29d zenon_H29e zenon_H2b3 zenon_H283 zenon_H185 zenon_H1b0 zenon_H1de zenon_H194 zenon_H126 zenon_H122 zenon_H40 zenon_H129 zenon_H1da zenon_H13f zenon_H2d zenon_Hd7 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H79 zenon_H1d2 zenon_H45 zenon_H7e zenon_H168 zenon_H1e0 zenon_H208 zenon_H1af zenon_H1ae. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.12 apply (zenon_L582_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L149_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L584_); trivial. % 0.92/1.12 apply (zenon_L585_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L587_); trivial. % 0.92/1.12 apply (zenon_L585_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.12 apply (zenon_L582_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.12 apply (zenon_L588_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L574_); trivial. % 0.92/1.12 apply (zenon_L589_); trivial. % 0.92/1.12 (* end of lemma zenon_L590_ *) % 0.92/1.12 assert (zenon_L591_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> (c0_1 (a1858)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H178 zenon_Ha zenon_H1c2 zenon_H137 zenon_H138 zenon_H136. % 0.92/1.12 generalize (zenon_H178 (a1858)). zenon_intro zenon_H2b9. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ba ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bb ]. % 0.92/1.12 generalize (zenon_H1c2 (a1858)). zenon_intro zenon_H2bd. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H13e | zenon_intro zenon_H2bf ]. % 0.92/1.12 exact (zenon_H13e zenon_H137). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H13d ]. % 0.92/1.12 exact (zenon_H2c0 zenon_H2bc). % 0.92/1.12 exact (zenon_H13d zenon_H138). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 0.92/1.12 exact (zenon_H13c zenon_H136). % 0.92/1.12 exact (zenon_H13d zenon_H138). % 0.92/1.12 (* end of lemma zenon_L591_ *) % 0.92/1.12 assert (zenon_L592_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (~(hskp22)) -> (~(hskp27)) -> (ndr1_0) -> (c1_1 (a1858)) -> (c3_1 (a1858)) -> (c0_1 (a1858)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2c1 zenon_H12e zenon_H12d zenon_H12c zenon_H6b zenon_Hb9 zenon_Ha zenon_H137 zenon_H138 zenon_H136 zenon_H182 zenon_H8e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H12b | zenon_intro zenon_H2c2 ]. % 0.92/1.12 apply (zenon_L75_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H8f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 0.92/1.12 apply (zenon_L591_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hba | zenon_intro zenon_H6c ]. % 0.92/1.12 exact (zenon_Hb9 zenon_Hba). % 0.92/1.12 exact (zenon_H6b zenon_H6c). % 0.92/1.12 exact (zenon_H8e zenon_H8f). % 0.92/1.12 (* end of lemma zenon_L592_ *) % 0.92/1.12 assert (zenon_L593_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> (c0_1 (a1858)) -> (c3_1 (a1858)) -> (c1_1 (a1858)) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))) -> (~(hskp7)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2c1 zenon_H12e zenon_H12d zenon_H12c zenon_H136 zenon_H138 zenon_H137 zenon_Ha zenon_H178 zenon_H8e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H12b | zenon_intro zenon_H2c2 ]. % 0.92/1.12 apply (zenon_L75_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H8f ]. % 0.92/1.12 apply (zenon_L591_); trivial. % 0.92/1.12 exact (zenon_H8e zenon_H8f). % 0.92/1.12 (* end of lemma zenon_L593_ *) % 0.92/1.12 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_H208 zenon_H29 zenon_H87 zenon_H86 zenon_H85 zenon_H1e0 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H83 zenon_H52 zenon_H50 zenon_H94 zenon_H142 zenon_H12c zenon_H12d zenon_H12e zenon_H182 zenon_H6b zenon_H8e zenon_H2c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.12 apply (zenon_L295_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.12 apply (zenon_L23_); trivial. % 0.92/1.12 apply (zenon_L593_); trivial. % 0.92/1.12 exact (zenon_H29 zenon_H2a). % 0.92/1.12 (* end of lemma zenon_L594_ *) % 0.92/1.12 assert (zenon_L595_ : ((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H157 zenon_H7e zenon_H45 zenon_H1d2 zenon_H31 zenon_H79 zenon_H146 zenon_Hf6 zenon_H208 zenon_H29 zenon_H1e0 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H83 zenon_H52 zenon_H50 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H2f zenon_H14c zenon_H115. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.12 apply (zenon_L74_); trivial. % 0.92/1.12 apply (zenon_L594_); trivial. % 0.92/1.12 apply (zenon_L88_); trivial. % 0.92/1.12 apply (zenon_L139_); trivial. % 0.92/1.12 (* end of lemma zenon_L595_ *) % 0.92/1.12 assert (zenon_L596_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7f zenon_H174 zenon_H7e zenon_H1d2 zenon_H79 zenon_H146 zenon_Hf6 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H129 zenon_H14c zenon_H115 zenon_H208 zenon_Hf8 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H126 zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H2f zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a zenon_H16c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.12 apply (zenon_L350_); trivial. % 0.92/1.12 apply (zenon_L595_); trivial. % 0.92/1.12 (* end of lemma zenon_L596_ *) % 0.92/1.12 assert (zenon_L597_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a1870))) -> (~(c3_1 (a1870))) -> (c1_1 (a1870)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(c3_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c0_1 (a1884))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H45 zenon_H5f zenon_H31 zenon_H1 zenon_H5d zenon_Hd7 zenon_H2d zenon_H29 zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H168 zenon_H2c1 zenon_H8e zenon_H6b zenon_H182 zenon_H12e zenon_H12d zenon_H12c zenon_H142 zenon_H94 zenon_H50 zenon_H52 zenon_H83 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H1e0 zenon_H85 zenon_H86 zenon_H87 zenon_H208 zenon_Hf6 zenon_H146. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_L594_); trivial. % 0.92/1.12 apply (zenon_L25_); trivial. % 0.92/1.12 (* end of lemma zenon_L597_ *) % 0.92/1.12 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H80 zenon_H174 zenon_H7e zenon_H1d2 zenon_H79 zenon_H146 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd7 zenon_H45 zenon_H5f zenon_H31 zenon_H1 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H208 zenon_H126. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.12 apply (zenon_L317_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.12 apply (zenon_L597_); trivial. % 0.92/1.12 apply (zenon_L139_); trivial. % 0.92/1.12 (* end of lemma zenon_L598_ *) % 0.92/1.12 assert (zenon_L599_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ae zenon_H1af zenon_H174 zenon_H1e0 zenon_H94 zenon_H142 zenon_H8e zenon_H2c1 zenon_H208 zenon_Hf8 zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H2d zenon_H29 zenon_H46 zenon_H17 zenon_H7 zenon_H1d2 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H114 zenon_H155 zenon_H153 zenon_H189 zenon_H182 zenon_H184 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H1b0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.12 apply (zenon_L134_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.12 apply (zenon_L168_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_L596_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.12 apply (zenon_L487_); trivial. % 0.92/1.12 apply (zenon_L598_); trivial. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 (* end of lemma zenon_L599_ *) % 0.92/1.12 assert (zenon_L600_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H232 zenon_H231 zenon_H230 zenon_H4f zenon_Ha zenon_Hab zenon_H59 zenon_Haa zenon_Hac. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29b | zenon_intro zenon_H2af ]. % 0.92/1.12 apply (zenon_L563_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H2a5 ]. % 0.92/1.12 apply (zenon_L276_); trivial. % 0.92/1.12 apply (zenon_L564_); trivial. % 0.92/1.12 (* end of lemma zenon_L600_ *) % 0.92/1.12 assert (zenon_L601_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a1863))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H5d zenon_Hac zenon_Haa zenon_H59 zenon_Hab zenon_H230 zenon_H231 zenon_H232 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.13 apply (zenon_L600_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.13 apply (zenon_L15_); trivial. % 0.92/1.13 exact (zenon_H1 zenon_H2). % 0.92/1.13 (* end of lemma zenon_L601_ *) % 0.92/1.13 assert (zenon_L602_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H45 zenon_H24a zenon_H248 zenon_H2ae zenon_Hac zenon_Haa zenon_Hab zenon_H232 zenon_H231 zenon_H230 zenon_H29e zenon_H29d zenon_H29c zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L21_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H59 | zenon_intro zenon_H24b ]. % 0.92/1.13 apply (zenon_L601_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H4c | zenon_intro zenon_H249 ]. % 0.92/1.13 exact (zenon_H4b zenon_H4c). % 0.92/1.13 exact (zenon_H248 zenon_H249). % 0.92/1.13 (* end of lemma zenon_L602_ *) % 0.92/1.13 assert (zenon_L603_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a1863))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H232 zenon_H231 zenon_H230 zenon_H4f zenon_Ha zenon_Hab zenon_H12b zenon_Haa zenon_Hac. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29b | zenon_intro zenon_H2af ]. % 0.92/1.13 apply (zenon_L563_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H2a5 ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_L567_); trivial. % 0.92/1.13 (* end of lemma zenon_L603_ *) % 0.92/1.13 assert (zenon_L604_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (~(hskp3)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H3f zenon_H172 zenon_H1 zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H232 zenon_H231 zenon_H230 zenon_Hab zenon_Haa zenon_Hac zenon_H5d zenon_H72 zenon_H71 zenon_H70 zenon_H10d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.13 apply (zenon_L603_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.13 apply (zenon_L15_); trivial. % 0.92/1.13 exact (zenon_H1 zenon_H2). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_L31_); trivial. % 0.92/1.13 exact (zenon_H10d zenon_H10e). % 0.92/1.13 (* end of lemma zenon_L604_ *) % 0.92/1.13 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7b zenon_H45 zenon_H172 zenon_H10d zenon_H2ae zenon_Hac zenon_Haa zenon_Hab zenon_H232 zenon_H231 zenon_H230 zenon_H29e zenon_H29d zenon_H29c zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L21_); trivial. % 0.92/1.13 apply (zenon_L604_); trivial. % 0.92/1.13 (* end of lemma zenon_L605_ *) % 0.92/1.13 assert (zenon_L606_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2c3 zenon_H251 zenon_H250 zenon_H24f zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H3. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H24e | zenon_intro zenon_H2c4 ]. % 0.92/1.13 apply (zenon_L300_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H29b | zenon_intro zenon_H4 ]. % 0.92/1.13 apply (zenon_L563_); trivial. % 0.92/1.13 exact (zenon_H3 zenon_H4). % 0.92/1.13 (* end of lemma zenon_L606_ *) % 0.92/1.13 assert (zenon_L607_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H80 zenon_H16c zenon_H4a zenon_H45 zenon_H5d zenon_H244 zenon_H232 zenon_H231 zenon_H230 zenon_H245 zenon_H4b zenon_H4d zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L606_); trivial. % 0.92/1.13 apply (zenon_L302_); trivial. % 0.92/1.13 (* end of lemma zenon_L607_ *) % 0.92/1.13 assert (zenon_L608_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H16c zenon_H4a zenon_H244 zenon_H245 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H2c3 zenon_H6d zenon_H4d zenon_H4b zenon_H1 zenon_H5d zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_Hab zenon_Haa zenon_Hac zenon_H2ae zenon_H10d zenon_H172 zenon_H45 zenon_H7e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.13 apply (zenon_L30_); trivial. % 0.92/1.13 apply (zenon_L605_); trivial. % 0.92/1.13 apply (zenon_L607_); trivial. % 0.92/1.13 (* end of lemma zenon_L608_ *) % 0.92/1.13 assert (zenon_L609_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1b0 zenon_H7f zenon_H16c zenon_H4a zenon_H244 zenon_H245 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H2c3 zenon_H6d zenon_H4d zenon_H4b zenon_H1 zenon_H5d zenon_H230 zenon_H231 zenon_H232 zenon_H10d zenon_H172 zenon_H45 zenon_H7e zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H11f zenon_H122. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.13 apply (zenon_L566_); trivial. % 0.92/1.13 apply (zenon_L608_); trivial. % 0.92/1.13 (* end of lemma zenon_L609_ *) % 0.92/1.13 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp27)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hfe zenon_H208 zenon_Hb9 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H5 zenon_H210 zenon_Hac zenon_Haa zenon_Hab zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H29. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.13 apply (zenon_L306_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.13 apply (zenon_L565_); trivial. % 0.92/1.13 exact (zenon_H29 zenon_H2a). % 0.92/1.13 (* end of lemma zenon_L610_ *) % 0.92/1.13 assert (zenon_L611_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(hskp27)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf7 zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_Ha zenon_H24f zenon_H250 zenon_H251 zenon_Hb9 zenon_H25a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L305_); trivial. % 0.92/1.13 apply (zenon_L610_); trivial. % 0.92/1.13 (* end of lemma zenon_L611_ *) % 0.92/1.13 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H5d zenon_H1 zenon_H36 zenon_H35 zenon_H34 zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_Hab zenon_Haa zenon_Hac zenon_H2ae zenon_H208 zenon_H29 zenon_He4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L58_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.13 apply (zenon_L309_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.13 apply (zenon_L601_); trivial. % 0.92/1.13 exact (zenon_H29 zenon_H2a). % 0.92/1.13 apply (zenon_L54_); trivial. % 0.92/1.13 (* end of lemma zenon_L612_ *) % 0.92/1.13 assert (zenon_L613_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H5d zenon_H1 zenon_H230 zenon_H231 zenon_H232 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H29 zenon_H208 zenon_Hf7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L611_); trivial. % 0.92/1.13 apply (zenon_L612_); trivial. % 0.92/1.13 (* end of lemma zenon_L613_ *) % 0.92/1.13 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H2d zenon_H2b zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L58_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.13 apply (zenon_L309_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.13 apply (zenon_L143_); trivial. % 0.92/1.13 apply (zenon_L6_); trivial. % 0.92/1.13 apply (zenon_L144_); trivial. % 0.92/1.13 (* end of lemma zenon_L614_ *) % 0.92/1.13 assert (zenon_L615_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H2d zenon_H2b zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H116 zenon_H117 zenon_H118 zenon_H29 zenon_H208 zenon_Hf7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L308_); trivial. % 0.92/1.13 apply (zenon_L614_); trivial. % 0.92/1.13 (* end of lemma zenon_L615_ *) % 0.92/1.13 assert (zenon_L616_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H121 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hd3 zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H29 zenon_H208 zenon_Hf7 zenon_H2ae zenon_H232 zenon_H231 zenon_H230 zenon_H29e zenon_H29d zenon_H29c zenon_H5d zenon_H45 zenon_H115. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.13 apply (zenon_L47_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L615_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L308_); trivial. % 0.92/1.13 apply (zenon_L612_); trivial. % 0.92/1.13 apply (zenon_L96_); trivial. % 0.92/1.13 (* end of lemma zenon_L616_ *) % 0.92/1.13 assert (zenon_L617_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H16c zenon_H4a zenon_H126 zenon_Hf6 zenon_H1da zenon_H1de zenon_H2d zenon_H24c zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H210 zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H29 zenon_H208 zenon_Hf7 zenon_H2ae zenon_H232 zenon_H231 zenon_H230 zenon_H29e zenon_H29d zenon_H29c zenon_H5d zenon_H45 zenon_H115 zenon_H146 zenon_H13f zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H3d zenon_H16a zenon_H114 zenon_H17 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.13 apply (zenon_L8_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L97_); trivial. % 0.92/1.13 apply (zenon_L616_); trivial. % 0.92/1.13 (* end of lemma zenon_L617_ *) % 0.92/1.13 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H175 zenon_H7f zenon_H244 zenon_H245 zenon_H4b zenon_H4d zenon_H2c3 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H3d zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H13f zenon_H146 zenon_H115 zenon_H45 zenon_H5d zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_H2ae zenon_Hf7 zenon_H208 zenon_H29 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H24c zenon_H2d zenon_H1de zenon_H1da zenon_Hf6 zenon_H126 zenon_H4a zenon_H16c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_L617_); trivial. % 0.92/1.13 apply (zenon_L607_); trivial. % 0.92/1.13 (* end of lemma zenon_L618_ *) % 0.92/1.13 assert (zenon_L619_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36)))))) -> (c0_1 (a1864)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1dc zenon_H19b zenon_H19a zenon_H199 zenon_H198 zenon_H87 zenon_H85 zenon_H228 zenon_H86 zenon_Ha zenon_H5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.92/1.13 apply (zenon_L122_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.92/1.13 apply (zenon_L259_); trivial. % 0.92/1.13 exact (zenon_H5 zenon_H6). % 0.92/1.13 (* end of lemma zenon_L619_ *) % 0.92/1.13 assert (zenon_L620_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp27)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H5 zenon_Ha zenon_H86 zenon_H85 zenon_H87 zenon_H198 zenon_H199 zenon_H19a zenon_H19b zenon_H1dc zenon_Hb9. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25c | zenon_intro zenon_H263 ]. % 0.92/1.13 apply (zenon_L318_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H228 | zenon_intro zenon_Hba ]. % 0.92/1.13 apply (zenon_L619_); trivial. % 0.92/1.13 exact (zenon_Hb9 zenon_Hba). % 0.92/1.13 (* end of lemma zenon_L620_ *) % 0.92/1.13 assert (zenon_L621_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp27)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp16)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (ndr1_0) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H208 zenon_Hb9 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H85 zenon_H86 zenon_H5 zenon_H230 zenon_H231 zenon_H232 zenon_H262 zenon_Hac zenon_Haa zenon_Hab zenon_Ha zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H29. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.13 apply (zenon_L620_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.13 apply (zenon_L565_); trivial. % 0.92/1.13 exact (zenon_H29 zenon_H2a). % 0.92/1.13 (* end of lemma zenon_L621_ *) % 0.92/1.13 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(c1_1 (a1919))) -> (~(c2_1 (a1919))) -> (c3_1 (a1919)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_H208 zenon_H2ae zenon_Hac zenon_Haa zenon_Hab zenon_H232 zenon_H231 zenon_H230 zenon_H29e zenon_H29d zenon_H29c zenon_H34 zenon_H35 zenon_H36 zenon_H1 zenon_H5d zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H85 zenon_H86 zenon_H87 zenon_H1de zenon_H29 zenon_He4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L58_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.13 apply (zenon_L218_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.13 apply (zenon_L601_); trivial. % 0.92/1.13 exact (zenon_H29 zenon_H2a). % 0.92/1.13 (* end of lemma zenon_L622_ *) % 0.92/1.13 assert (zenon_L623_ : ((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H3f zenon_Hf6 zenon_Hf7 zenon_H1 zenon_H5d zenon_H1de zenon_He4 zenon_H262 zenon_H198 zenon_H19a zenon_H19b zenon_H86 zenon_H85 zenon_H87 zenon_H5 zenon_H1dc zenon_H232 zenon_H231 zenon_H230 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_H29 zenon_H208. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L621_); trivial. % 0.92/1.13 apply (zenon_L622_); trivial. % 0.92/1.13 (* end of lemma zenon_L623_ *) % 0.92/1.13 assert (zenon_L624_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_H45 zenon_H1 zenon_H5d zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_H230 zenon_H231 zenon_H232 zenon_H1dc zenon_H5 zenon_H87 zenon_H85 zenon_H86 zenon_H19b zenon_H19a zenon_H198 zenon_H262 zenon_He4 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2d zenon_Hd3 zenon_Hd0 zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L621_); trivial. % 0.92/1.13 apply (zenon_L614_); trivial. % 0.92/1.13 apply (zenon_L623_); trivial. % 0.92/1.13 (* end of lemma zenon_L624_ *) % 0.92/1.13 assert (zenon_L625_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp15)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7f zenon_H14c zenon_H7 zenon_H1 zenon_H115 zenon_H45 zenon_H5d zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H230 zenon_H231 zenon_H232 zenon_H1dc zenon_H87 zenon_H85 zenon_H86 zenon_H19b zenon_H19a zenon_H198 zenon_H262 zenon_He4 zenon_H24c zenon_H2d zenon_Hd3 zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H2f zenon_H10d zenon_H110 zenon_H114 zenon_H16c. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.13 apply (zenon_L47_); trivial. % 0.92/1.13 apply (zenon_L624_); trivial. % 0.92/1.13 apply (zenon_L67_); trivial. % 0.92/1.13 apply (zenon_L89_); trivial. % 0.92/1.13 (* end of lemma zenon_L625_ *) % 0.92/1.13 assert (zenon_L626_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp27)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp16)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1890)) -> (~(c1_1 (a1890))) -> (~(c0_1 (a1890))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H208 zenon_Hb9 zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H85 zenon_H86 zenon_H5 zenon_H230 zenon_H231 zenon_H232 zenon_H262 zenon_H118 zenon_H117 zenon_H116 zenon_Ha zenon_H29. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.13 apply (zenon_L620_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.13 apply (zenon_L69_); trivial. % 0.92/1.13 exact (zenon_H29 zenon_H2a). % 0.92/1.13 (* end of lemma zenon_L626_ *) % 0.92/1.13 assert (zenon_L627_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (ndr1_0) -> (~(c0_1 (a1890))) -> (~(c1_1 (a1890))) -> (c2_1 (a1890)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H2d zenon_H2b zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H262 zenon_H198 zenon_H19a zenon_H19b zenon_H86 zenon_H85 zenon_H87 zenon_H5 zenon_H1dc zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H116 zenon_H117 zenon_H118 zenon_H29 zenon_H208. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L626_); trivial. % 0.92/1.13 apply (zenon_L614_); trivial. % 0.92/1.13 (* end of lemma zenon_L627_ *) % 0.92/1.13 assert (zenon_L628_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1890)) -> (~(c1_1 (a1890))) -> (~(c0_1 (a1890))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H115 zenon_H45 zenon_H5d zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H29 zenon_H118 zenon_H117 zenon_H116 zenon_H230 zenon_H231 zenon_H232 zenon_H1dc zenon_H5 zenon_H87 zenon_H85 zenon_H86 zenon_H19b zenon_H19a zenon_H198 zenon_H262 zenon_He4 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2d zenon_Hd3 zenon_Hd0 zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.13 apply (zenon_L47_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L627_); trivial. % 0.92/1.13 apply (zenon_L623_); trivial. % 0.92/1.13 (* end of lemma zenon_L628_ *) % 0.92/1.13 assert (zenon_L629_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H121 zenon_H114 zenon_H155 zenon_H153 zenon_H151 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hd3 zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H262 zenon_H198 zenon_H19a zenon_H19b zenon_H86 zenon_H85 zenon_H87 zenon_H5 zenon_H1dc zenon_H232 zenon_H231 zenon_H230 zenon_H29 zenon_H208 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H5d zenon_H45 zenon_H115. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.13 apply (zenon_L628_); trivial. % 0.92/1.13 apply (zenon_L85_); trivial. % 0.92/1.13 (* end of lemma zenon_L629_ *) % 0.92/1.13 assert (zenon_L630_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H45 zenon_H1 zenon_H5d zenon_H262 zenon_H86 zenon_H85 zenon_H87 zenon_H232 zenon_H231 zenon_H230 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H182 zenon_H6b zenon_H17b zenon_H17a zenon_H179 zenon_Ha zenon_He4 zenon_H29 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2d zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L332_); trivial. % 0.92/1.13 apply (zenon_L623_); trivial. % 0.92/1.13 (* end of lemma zenon_L630_ *) % 0.92/1.13 assert (zenon_L631_ : ((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((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)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H10f zenon_H7e zenon_H172 zenon_H10d zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H208 zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_H230 zenon_H231 zenon_H232 zenon_H87 zenon_H85 zenon_H86 zenon_H262 zenon_H5d zenon_H1 zenon_H45. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.13 apply (zenon_L630_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L621_); trivial. % 0.92/1.13 apply (zenon_L343_); trivial. % 0.92/1.13 apply (zenon_L604_); trivial. % 0.92/1.13 (* end of lemma zenon_L631_ *) % 0.92/1.13 assert (zenon_L632_ : ((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H121 zenon_H114 zenon_H7e zenon_H172 zenon_H10d zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1de zenon_Hd3 zenon_H2d zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_He4 zenon_H262 zenon_H198 zenon_H19a zenon_H19b zenon_H86 zenon_H85 zenon_H87 zenon_H5 zenon_H1dc zenon_H232 zenon_H231 zenon_H230 zenon_H29 zenon_H208 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H5d zenon_H45 zenon_H115. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Ha. zenon_intro zenon_H123. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H118. zenon_intro zenon_H124. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H116. zenon_intro zenon_H117. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.13 apply (zenon_L628_); trivial. % 0.92/1.13 apply (zenon_L631_); trivial. % 0.92/1.13 (* end of lemma zenon_L632_ *) % 0.92/1.13 assert (zenon_L633_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1911))) -> (~(c3_1 (a1911))) -> (c0_1 (a1911)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a1874))) -> (c0_1 (a1874)) -> (c2_1 (a1874)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd0 zenon_Hd3 zenon_H2d zenon_H2b zenon_Hc zenon_Hd zenon_He zenon_H24c zenon_H29 zenon_He4 zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L112_); trivial. % 0.92/1.13 apply (zenon_L614_); trivial. % 0.92/1.13 (* end of lemma zenon_L633_ *) % 0.92/1.13 assert (zenon_L634_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a1874)) -> (c0_1 (a1874)) -> (~(c1_1 (a1874))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H115 zenon_H45 zenon_H5d zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_H2ae zenon_H208 zenon_H182 zenon_H6b zenon_H17b zenon_H17a zenon_H179 zenon_He4 zenon_H29 zenon_H24c zenon_He zenon_Hd zenon_Hc zenon_H2d zenon_Hd3 zenon_Hd0 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.13 apply (zenon_L47_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L633_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.13 apply (zenon_L112_); trivial. % 0.92/1.13 apply (zenon_L612_); trivial. % 0.92/1.13 (* end of lemma zenon_L634_ *) % 0.92/1.13 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H186 zenon_H185 zenon_H244 zenon_H245 zenon_H2c3 zenon_H17 zenon_H16a zenon_H3d zenon_H168 zenon_H13f zenon_H146 zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_H126 zenon_H4a zenon_H16c zenon_H114 zenon_H110 zenon_H115 zenon_H45 zenon_H5d zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_H2ae zenon_H208 zenon_H182 zenon_He4 zenon_H29 zenon_H24c zenon_H2d zenon_Hd3 zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5 zenon_H4d zenon_H4b zenon_H10d zenon_H172 zenon_H7e zenon_H1 zenon_H7 zenon_H14c zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.13 apply (zenon_L634_); trivial. % 0.92/1.13 apply (zenon_L605_); trivial. % 0.92/1.13 apply (zenon_L67_); trivial. % 0.92/1.13 apply (zenon_L89_); trivial. % 0.92/1.13 apply (zenon_L618_); trivial. % 0.92/1.13 (* end of lemma zenon_L635_ *) % 0.92/1.13 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7b zenon_H45 zenon_H172 zenon_H10d zenon_H2ae zenon_Hac zenon_Haa zenon_Hab zenon_H29e zenon_H29d zenon_H29c zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H2d zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H5d zenon_Hf7 zenon_Hf6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L530_); trivial. % 0.92/1.13 apply (zenon_L604_); trivial. % 0.92/1.13 (* end of lemma zenon_L636_ *) % 0.92/1.13 assert (zenon_L637_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7e zenon_H45 zenon_H172 zenon_H10d zenon_H2ae zenon_Hac zenon_Haa zenon_Hab zenon_H29e zenon_H29d zenon_H29c zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H2d zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H5d zenon_Hf7 zenon_Hf6 zenon_Ha zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.13 apply (zenon_L30_); trivial. % 0.92/1.13 apply (zenon_L636_); trivial. % 0.92/1.13 (* end of lemma zenon_L637_ *) % 0.92/1.13 assert (zenon_L638_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> (~(c3_1 (a1875))) -> (~(hskp20)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> (~(hskp24)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (ndr1_0) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(hskp23)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H1da zenon_H1b zenon_H1c zenon_H1d zenon_Hf1 zenon_H13f zenon_H29 zenon_H2b zenon_H2d zenon_Hd7 zenon_Hf7 zenon_Ha zenon_H85 zenon_H86 zenon_H87 zenon_Hb3 zenon_H129. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.13 apply (zenon_L74_); trivial. % 0.92/1.13 apply (zenon_L438_); trivial. % 0.92/1.13 (* end of lemma zenon_L638_ *) % 0.92/1.13 assert (zenon_L639_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H80 zenon_H16c zenon_H4a zenon_H126 zenon_H45 zenon_H5f zenon_H31 zenon_H5d zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H29 zenon_H13f zenon_H1da zenon_H25a zenon_He4 zenon_Hf6 zenon_H146 zenon_H2f zenon_H14c zenon_H115 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L606_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.13 apply (zenon_L8_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.13 apply (zenon_L638_); trivial. % 0.92/1.13 apply (zenon_L25_); trivial. % 0.92/1.13 apply (zenon_L88_); trivial. % 0.92/1.13 apply (zenon_L159_); trivial. % 0.92/1.13 (* end of lemma zenon_L639_ *) % 0.92/1.13 assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H80 zenon_H16c zenon_H4a zenon_H126 zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H1da zenon_H13f zenon_Hf7 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_H29 zenon_H2d zenon_Hd7 zenon_H5d zenon_H31 zenon_H5f zenon_H45 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L606_); trivial. % 0.92/1.13 apply (zenon_L441_); trivial. % 0.92/1.13 (* end of lemma zenon_L640_ *) % 0.92/1.13 assert (zenon_L641_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H168 zenon_H7e zenon_H45 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H31 zenon_H79 zenon_H6d zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H251 zenon_H250 zenon_H24f zenon_H17 zenon_H1 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_He4 zenon_H25a zenon_H1da zenon_H13f zenon_H29 zenon_H2d zenon_Hd7 zenon_Hf7 zenon_H129 zenon_H5d zenon_H5f zenon_H126 zenon_H4a zenon_H16c zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_L158_); trivial. % 0.92/1.13 apply (zenon_L639_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.13 apply (zenon_L158_); trivial. % 0.92/1.13 apply (zenon_L640_); trivial. % 0.92/1.13 (* end of lemma zenon_L641_ *) % 0.92/1.13 assert (zenon_L642_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1b0 zenon_H6d zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H251 zenon_H250 zenon_H24f zenon_H25a zenon_H5d zenon_H5f zenon_H7f zenon_H126 zenon_H122 zenon_H129 zenon_H1d8 zenon_He4 zenon_H1da zenon_H13f zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H11f zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H29 zenon_H2d zenon_H40 zenon_H45 zenon_H4a zenon_H16c zenon_H168 zenon_H185. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.13 apply (zenon_L156_); trivial. % 0.92/1.13 apply (zenon_L641_); trivial. % 0.92/1.13 (* end of lemma zenon_L642_ *) % 0.92/1.13 assert (zenon_L643_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H80 zenon_H16c zenon_H208 zenon_H29 zenon_H24c zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.13 apply (zenon_L606_); trivial. % 0.92/1.13 apply (zenon_L477_); trivial. % 0.92/1.13 (* end of lemma zenon_L643_ *) % 0.92/1.13 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H175 zenon_H7f zenon_H208 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H7 zenon_H1 zenon_H17 zenon_H114 zenon_H16a zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H129 zenon_H87 zenon_H86 zenon_H85 zenon_Hf7 zenon_Hd7 zenon_H2d zenon_H29 zenon_H13f zenon_H1da zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H24c zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_Hf6 zenon_H146 zenon_H168 zenon_Hd3 zenon_H115 zenon_H5f zenon_H126 zenon_H4a zenon_H16c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L448_); trivial. % 0.92/1.14 apply (zenon_L643_); trivial. % 0.92/1.14 (* end of lemma zenon_L644_ *) % 0.92/1.14 assert (zenon_L645_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H1af zenon_H208 zenon_H24c zenon_H1de zenon_Hd3 zenon_H1dc zenon_H16a zenon_H114 zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H25a zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H1b0. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L642_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L136_); trivial. % 0.92/1.14 apply (zenon_L643_); trivial. % 0.92/1.14 apply (zenon_L644_); trivial. % 0.92/1.14 apply (zenon_L641_); trivial. % 0.92/1.14 (* end of lemma zenon_L645_ *) % 0.92/1.14 assert (zenon_L646_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b0 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H189 zenon_H1 zenon_H10d zenon_H110 zenon_H114 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H11f zenon_H122. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_L566_); trivial. % 0.92/1.14 apply (zenon_L386_); trivial. % 0.92/1.14 (* end of lemma zenon_L646_ *) % 0.92/1.14 assert (zenon_L647_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(hskp11)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1af zenon_H115 zenon_H208 zenon_H29 zenon_H96 zenon_H1a7 zenon_Hb5 zenon_H122 zenon_Ha zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_H114 zenon_H110 zenon_H10d zenon_H1 zenon_H189 zenon_H27a zenon_H27b zenon_H27c zenon_H248 zenon_H283 zenon_H185 zenon_H1b0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L646_); trivial. % 0.92/1.14 apply (zenon_L573_); trivial. % 0.92/1.14 (* end of lemma zenon_L647_ *) % 0.92/1.14 assert (zenon_L648_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b0 zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_H29 zenon_He4 zenon_H25a zenon_H1da zenon_H245 zenon_H5d zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_Hd7 zenon_Hf7 zenon_H189 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H2c3 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H11f zenon_H122. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_L566_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.14 apply (zenon_L606_); trivial. % 0.92/1.14 apply (zenon_L399_); trivial. % 0.92/1.14 (* end of lemma zenon_L648_ *) % 0.92/1.14 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hfb zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H5 zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_Haa zenon_Hab zenon_Hac zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H29 zenon_He4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.14 apply (zenon_L58_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.14 apply (zenon_L407_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.14 apply (zenon_L565_); trivial. % 0.92/1.14 exact (zenon_H29 zenon_H2a). % 0.92/1.14 apply (zenon_L392_); trivial. % 0.92/1.14 (* end of lemma zenon_L649_ *) % 0.92/1.14 assert (zenon_L650_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_Hd7 zenon_H1da zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H210 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H19b zenon_H5 zenon_H1dc zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H29 zenon_H208 zenon_Hf7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.14 apply (zenon_L611_); trivial. % 0.92/1.14 apply (zenon_L649_); trivial. % 0.92/1.14 (* end of lemma zenon_L650_ *) % 0.92/1.14 assert (zenon_L651_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> (~(c3_1 (a1875))) -> (c0_1 (a1875)) -> (c1_1 (a1875)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H115 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_Hd3 zenon_Hd0 zenon_H1da zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H244 zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H29 zenon_He4 zenon_H50 zenon_H52 zenon_H83 zenon_H1d zenon_H1b zenon_H1c zenon_H1d8 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.14 apply (zenon_L47_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.14 apply (zenon_L142_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.14 apply (zenon_L58_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hd2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.14 apply (zenon_L412_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.14 apply (zenon_L565_); trivial. % 0.92/1.14 exact (zenon_H29 zenon_H2a). % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 (* end of lemma zenon_L651_ *) % 0.92/1.14 assert (zenon_L652_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H16c zenon_H4a zenon_H114 zenon_H5d zenon_H245 zenon_Hb5 zenon_H1d8 zenon_Hd3 zenon_H115 zenon_H1 zenon_H17 zenon_H2c3 zenon_Hf7 zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H1dc zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L650_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.14 apply (zenon_L606_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.14 apply (zenon_L651_); trivial. % 0.92/1.14 apply (zenon_L401_); trivial. % 0.92/1.14 (* end of lemma zenon_L652_ *) % 0.92/1.14 assert (zenon_L653_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H1af zenon_H7f zenon_Hb5 zenon_H1d8 zenon_Hd3 zenon_H115 zenon_H208 zenon_H1dc zenon_H210 zenon_H1de zenon_H122 zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_H2c3 zenon_H17 zenon_H1 zenon_H189 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H25a zenon_He4 zenon_H29 zenon_Hf6 zenon_H114 zenon_H4a zenon_H16c zenon_H1b0. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L648_); trivial. % 0.92/1.14 apply (zenon_L652_); trivial. % 0.92/1.14 (* end of lemma zenon_L653_ *) % 0.92/1.14 assert (zenon_L654_ : ((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp15)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H277 zenon_H288 zenon_H7f zenon_H1d8 zenon_Hd3 zenon_H1dc zenon_H210 zenon_H1de zenon_H2c3 zenon_H17 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H5d zenon_H245 zenon_H1da zenon_H25a zenon_He4 zenon_Hf6 zenon_H4a zenon_H16c zenon_H1b0 zenon_H185 zenon_H283 zenon_H27c zenon_H27b zenon_H27a zenon_H189 zenon_H1 zenon_H10d zenon_H110 zenon_H114 zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H122 zenon_Hb5 zenon_H1a7 zenon_H96 zenon_H29 zenon_H208 zenon_H115 zenon_H1af. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.14 apply (zenon_L647_); trivial. % 0.92/1.14 apply (zenon_L653_); trivial. % 0.92/1.14 (* end of lemma zenon_L654_ *) % 0.92/1.14 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((hskp18)\/((hskp10)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H1de zenon_H27a zenon_H27b zenon_H27c zenon_H245 zenon_H185 zenon_H283 zenon_H2b3 zenon_H29e zenon_H29d zenon_H29c zenon_H2b5 zenon_H1d8 zenon_He4 zenon_H29 zenon_H1c5 zenon_Hf7 zenon_Hf6 zenon_H4a zenon_H7f zenon_H25a zenon_H288. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.14 apply (zenon_L582_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L574_); trivial. % 0.92/1.14 apply (zenon_L456_); trivial. % 0.92/1.14 (* end of lemma zenon_L655_ *) % 0.92/1.14 assert (zenon_L656_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H80 zenon_H174 zenon_H7e zenon_H1d2 zenon_H79 zenon_H146 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H129 zenon_H2f zenon_H14c zenon_H115 zenon_H45 zenon_H5f zenon_H31 zenon_H1 zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_H29 zenon_H2d zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H208 zenon_H126. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.14 apply (zenon_L317_); trivial. % 0.92/1.14 apply (zenon_L595_); trivial. % 0.92/1.14 (* end of lemma zenon_L656_ *) % 0.92/1.14 assert (zenon_L657_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H7f zenon_H174 zenon_H7e zenon_H1d2 zenon_H79 zenon_H146 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H129 zenon_H14c zenon_H115 zenon_H5f zenon_H5d zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_He4 zenon_Hf7 zenon_Hf6 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H87 zenon_H86 zenon_H85 zenon_H208 zenon_H126 zenon_H7 zenon_H1 zenon_H17 zenon_H46 zenon_H31 zenon_H2f zenon_H29 zenon_H2d zenon_H3d zenon_H40 zenon_H45 zenon_H4a zenon_H16c. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L136_); trivial. % 0.92/1.14 apply (zenon_L656_); trivial. % 0.92/1.14 (* end of lemma zenon_L657_ *) % 0.92/1.14 assert (zenon_L658_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1af zenon_H174 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H1de zenon_H208 zenon_H185 zenon_H283 zenon_H248 zenon_H27c zenon_H27b zenon_H27a zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H6d zenon_H1b0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L429_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_L657_); trivial. % 0.92/1.14 apply (zenon_L384_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L158_); trivial. % 0.92/1.14 apply (zenon_L656_); trivial. % 0.92/1.14 apply (zenon_L384_); trivial. % 0.92/1.14 (* end of lemma zenon_L658_ *) % 0.92/1.14 assert (zenon_L659_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H16c zenon_H208 zenon_H29 zenon_H24c zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L158_); trivial. % 0.92/1.14 apply (zenon_L643_); trivial. % 0.92/1.14 (* end of lemma zenon_L659_ *) % 0.92/1.14 assert (zenon_L660_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H1af zenon_H174 zenon_H1e0 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_Hf8 zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H1de zenon_H208 zenon_Hd3 zenon_H1dc zenon_H24c zenon_H16a zenon_H114 zenon_H185 zenon_H168 zenon_H16c zenon_H4a zenon_H45 zenon_H40 zenon_H2d zenon_H29 zenon_H31 zenon_H46 zenon_H17 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H13f zenon_H1da zenon_He4 zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H7f zenon_H5f zenon_H5d zenon_H25a zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H1b0. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L642_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_L657_); trivial. % 0.92/1.14 apply (zenon_L644_); trivial. % 0.92/1.14 apply (zenon_L659_); trivial. % 0.92/1.14 (* end of lemma zenon_L660_ *) % 0.92/1.14 assert (zenon_L661_ : ((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1ab zenon_H7f zenon_H16c zenon_H24c zenon_H85 zenon_H86 zenon_H87 zenon_H2c3 zenon_Hf7 zenon_H208 zenon_H29 zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H1dc zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_H24f zenon_H250 zenon_H251 zenon_H25a zenon_He4 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H1de zenon_H1da zenon_Hd7 zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L650_); trivial. % 0.92/1.14 apply (zenon_L643_); trivial. % 0.92/1.14 (* end of lemma zenon_L661_ *) % 0.92/1.14 assert (zenon_L662_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H1af zenon_H7f zenon_H24c zenon_H85 zenon_H86 zenon_H87 zenon_H208 zenon_H1dc zenon_H210 zenon_H1de zenon_H122 zenon_H29c zenon_H29d zenon_H29e zenon_Haa zenon_Hab zenon_Hac zenon_H2ae zenon_H2c3 zenon_H17 zenon_H1 zenon_H189 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H25a zenon_He4 zenon_H29 zenon_Hf6 zenon_H114 zenon_H4a zenon_H16c zenon_H1b0. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.14 apply (zenon_L648_); trivial. % 0.92/1.14 apply (zenon_L661_); trivial. % 0.92/1.14 (* end of lemma zenon_L662_ *) % 0.92/1.14 assert (zenon_L663_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> (~(hskp16)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H16c zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H24c zenon_H2d zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.14 apply (zenon_L347_); trivial. % 0.92/1.14 apply (zenon_L17_); trivial. % 0.92/1.14 (* end of lemma zenon_L663_ *) % 0.92/1.14 assert (zenon_L664_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b4 zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H189 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.14 apply (zenon_L606_); trivial. % 0.92/1.14 apply (zenon_L505_); trivial. % 0.92/1.14 (* end of lemma zenon_L664_ *) % 0.92/1.14 assert (zenon_L665_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (ndr1_0) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b0 zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H189 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H2c3 zenon_H2ae zenon_Hac zenon_Hab zenon_Haa zenon_H29e zenon_H29d zenon_H29c zenon_Ha zenon_H11f zenon_H122. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_L566_); trivial. % 0.92/1.14 apply (zenon_L664_); trivial. % 0.92/1.14 (* end of lemma zenon_L665_ *) % 0.92/1.14 assert (zenon_L666_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (~(c1_1 (a1856))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b4 zenon_H185 zenon_H283 zenon_H248 zenon_H16c zenon_H4a zenon_H114 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H244 zenon_H27c zenon_H27b zenon_H27a zenon_Hac zenon_Hab zenon_Haa zenon_H5d zenon_H245 zenon_H1da zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H189 zenon_H17 zenon_H1 zenon_H7 zenon_Hb5 zenon_H14c zenon_H115 zenon_H7f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L506_); trivial. % 0.92/1.14 apply (zenon_L89_); trivial. % 0.92/1.14 apply (zenon_L384_); trivial. % 0.92/1.14 (* end of lemma zenon_L666_ *) % 0.92/1.14 assert (zenon_L667_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hd8 zenon_Ha zenon_H147 zenon_H27b zenon_H27c. % 0.92/1.14 generalize (zenon_Hd8 (a1856)). zenon_intro zenon_H2c5. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c6 ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H27f ]. % 0.92/1.14 generalize (zenon_H147 (a1856)). zenon_intro zenon_H2c8. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c9 ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2ca | zenon_intro zenon_H27f ]. % 0.92/1.14 exact (zenon_H2c7 zenon_H2ca). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H282 | zenon_intro zenon_H281 ]. % 0.92/1.14 exact (zenon_H282 zenon_H27b). % 0.92/1.14 exact (zenon_H281 zenon_H27c). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H282 | zenon_intro zenon_H281 ]. % 0.92/1.14 exact (zenon_H282 zenon_H27b). % 0.92/1.14 exact (zenon_H281 zenon_H27c). % 0.92/1.14 (* end of lemma zenon_L667_ *) % 0.92/1.14 assert (zenon_L668_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp27)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c3_1 (a1919)) -> (~(c2_1 (a1919))) -> (~(c1_1 (a1919))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H5d zenon_Hb9 zenon_H230 zenon_H231 zenon_H232 zenon_Hd8 zenon_H27b zenon_H27c zenon_H210 zenon_H36 zenon_H35 zenon_H34 zenon_Ha zenon_H1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.92/1.14 apply (zenon_L667_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.92/1.14 apply (zenon_L276_); trivial. % 0.92/1.14 exact (zenon_Hb9 zenon_Hba). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 0.92/1.14 apply (zenon_L15_); trivial. % 0.92/1.14 exact (zenon_H1 zenon_H2). % 0.92/1.14 (* end of lemma zenon_L668_ *) % 0.92/1.14 assert (zenon_L669_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H45 zenon_Hf6 zenon_H21d zenon_H21e zenon_H21f zenon_H5d zenon_H27b zenon_H27c zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H226 zenon_H1 zenon_H4b zenon_H4d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.14 apply (zenon_L21_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.14 apply (zenon_L250_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.14 apply (zenon_L668_); trivial. % 0.92/1.14 exact (zenon_H1 zenon_H2). % 0.92/1.14 apply (zenon_L251_); trivial. % 0.92/1.14 (* end of lemma zenon_L669_ *) % 0.92/1.14 assert (zenon_L670_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (c1_1 (a1860)) -> (~(c2_1 (a1860))) -> (~(c0_1 (a1860))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1ae zenon_H262 zenon_H4d zenon_H1 zenon_H226 zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H27c zenon_H27b zenon_H5d zenon_H21f zenon_H21e zenon_H21d zenon_Hf6 zenon_H45. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.14 apply (zenon_L669_); trivial. % 0.92/1.14 apply (zenon_L372_); trivial. % 0.92/1.14 (* end of lemma zenon_L670_ *) % 0.92/1.14 assert (zenon_L671_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp0)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H80 zenon_H208 zenon_H17b zenon_H17a zenon_H179 zenon_H28b zenon_H28c zenon_H28d zenon_H1e0 zenon_H29. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.14 apply (zenon_L515_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.14 apply (zenon_L515_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.14 apply (zenon_L23_); trivial. % 0.92/1.14 apply (zenon_L111_); trivial. % 0.92/1.14 exact (zenon_H29 zenon_H2a). % 0.92/1.14 (* end of lemma zenon_L671_ *) % 0.92/1.14 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H186 zenon_H7f zenon_H208 zenon_H29 zenon_H1e0 zenon_H28d zenon_H28c zenon_H28b zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H79 zenon_H45 zenon_H7e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L34_); trivial. % 0.92/1.14 apply (zenon_L671_); trivial. % 0.92/1.14 (* end of lemma zenon_L672_ *) % 0.92/1.14 assert (zenon_L673_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b0 zenon_H184 zenon_H7f zenon_H208 zenon_H29 zenon_H1e0 zenon_H28d zenon_H28c zenon_H28b zenon_H6d zenon_H79 zenon_H7e zenon_H189 zenon_H153 zenon_H155 zenon_H114 zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.14 apply (zenon_L27_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.14 apply (zenon_L157_); trivial. % 0.92/1.14 apply (zenon_L672_); trivial. % 0.92/1.14 (* end of lemma zenon_L673_ *) % 0.92/1.14 assert (zenon_L674_ : ((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (~(hskp0)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H277 zenon_H208 zenon_H28d zenon_H28c zenon_H28b zenon_H29c zenon_H29d zenon_H29e zenon_H2ae zenon_H29. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.14 apply (zenon_L515_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.14 apply (zenon_L565_); trivial. % 0.92/1.14 exact (zenon_H29 zenon_H2a). % 0.92/1.14 (* end of lemma zenon_L674_ *) % 0.92/1.14 assert (zenon_L675_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp12)) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H185 zenon_H168 zenon_H16c zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_He4 zenon_H29 zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H24c zenon_Hf7 zenon_Hf6 zenon_H1 zenon_H7 zenon_H7e zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H79 zenon_H11f zenon_H170 zenon_H115 zenon_H14c zenon_H146 zenon_Hd7 zenon_H13f zenon_H1da zenon_H1d8 zenon_H129 zenon_H122 zenon_H126 zenon_H4a zenon_H7f. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.14 apply (zenon_L525_); trivial. % 0.92/1.14 apply (zenon_L17_); trivial. % 0.92/1.14 apply (zenon_L149_); trivial. % 0.92/1.14 apply (zenon_L155_); trivial. % 0.92/1.14 (* end of lemma zenon_L675_ *) % 0.92/1.14 assert (zenon_L676_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H7f zenon_H208 zenon_H14c zenon_H2f zenon_H1e0 zenon_H28d zenon_H28c zenon_H28b zenon_H7 zenon_H1 zenon_Hf6 zenon_Hf7 zenon_Hd7 zenon_H1da zenon_H1dc zenon_H19b zenon_H19a zenon_H198 zenon_H1de zenon_H2d zenon_H24c zenon_H29 zenon_He4 zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H16c. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L663_); trivial. % 0.92/1.14 apply (zenon_L544_); trivial. % 0.92/1.14 (* end of lemma zenon_L676_ *) % 0.92/1.14 assert (zenon_L677_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H80 zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H28b zenon_H28c zenon_H28d zenon_H1e0 zenon_H1d2 zenon_H87 zenon_H85 zenon_H86 zenon_H1ed zenon_H1ec zenon_H1 zenon_H5d zenon_H29 zenon_H208. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.14 apply (zenon_L515_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e1 ]. % 0.92/1.14 apply (zenon_L515_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H4f | zenon_intro zenon_H178 ]. % 0.92/1.14 apply (zenon_L23_); trivial. % 0.92/1.14 apply (zenon_L322_); trivial. % 0.92/1.14 exact (zenon_H29 zenon_H2a). % 0.92/1.14 apply (zenon_L17_); trivial. % 0.92/1.14 (* end of lemma zenon_L677_ *) % 0.92/1.14 assert (zenon_L678_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H80 zenon_H7e zenon_H79 zenon_Hf6 zenon_Hf7 zenon_H208 zenon_H2d zenon_H5d zenon_H1 zenon_H1ec zenon_H1ed zenon_H1d2 zenon_H1e0 zenon_H85 zenon_H86 zenon_H87 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H31 zenon_H5f zenon_H45. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.14 apply (zenon_L112_); trivial. % 0.92/1.14 apply (zenon_L432_); trivial. % 0.92/1.14 apply (zenon_L25_); trivial. % 0.92/1.14 apply (zenon_L139_); trivial. % 0.92/1.14 (* end of lemma zenon_L678_ *) % 0.92/1.14 assert (zenon_L679_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H186 zenon_H7f zenon_H208 zenon_H5d zenon_H1ec zenon_H1ed zenon_H1e0 zenon_H5f zenon_H7 zenon_H1 zenon_H45 zenon_H40 zenon_H3d zenon_H31 zenon_H182 zenon_He4 zenon_H29 zenon_H24c zenon_H2d zenon_H1de zenon_H198 zenon_H19a zenon_H19b zenon_H1dc zenon_H1da zenon_Hd7 zenon_Hf7 zenon_Hf6 zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H16c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L334_); trivial. % 0.92/1.14 apply (zenon_L678_); trivial. % 0.92/1.14 (* end of lemma zenon_L679_ *) % 0.92/1.14 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H186 zenon_H7f zenon_Hf6 zenon_Hf7 zenon_H208 zenon_H2d zenon_H5d zenon_H1 zenon_H1ec zenon_H1ed zenon_H1e0 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H182 zenon_H5f zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.14 apply (zenon_L158_); trivial. % 0.92/1.14 apply (zenon_L678_); trivial. % 0.92/1.14 (* end of lemma zenon_L680_ *) % 0.92/1.14 assert (zenon_L681_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1866))) -> (~(c0_1 (a1866))) -> (c3_1 (a1866)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b4 zenon_H184 zenon_H7f zenon_Hf6 zenon_Hf7 zenon_H208 zenon_H2d zenon_H5d zenon_H1ec zenon_H1ed zenon_H1e0 zenon_H198 zenon_H19a zenon_H19b zenon_H1de zenon_H29 zenon_He4 zenon_H182 zenon_H5f zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e zenon_H189 zenon_H1 zenon_H153 zenon_H155 zenon_H114. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.14 apply (zenon_L157_); trivial. % 0.92/1.14 apply (zenon_L680_); trivial. % 0.92/1.14 (* end of lemma zenon_L681_ *) % 0.92/1.15 assert (zenon_L682_ : ((ndr1_0)/\((c1_1 (a1860))/\((~(c0_1 (a1860)))/\(~(c2_1 (a1860)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((hskp18)\/((hskp10)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp13))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp29))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c2_1 X56)\/((c3_1 X56)\/(~(c1_1 X56))))))\/((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((hskp18)\/((hskp22)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1866))/\((~(c0_1 (a1866)))/\(~(c2_1 (a1866))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H272 zenon_H26f zenon_H288 zenon_H25a zenon_H4a zenon_Hf7 zenon_H1c5 zenon_He4 zenon_H1d8 zenon_H2b5 zenon_H2b3 zenon_H283 zenon_H185 zenon_H1de zenon_H194 zenon_H126 zenon_H122 zenon_H129 zenon_H1da zenon_H13f zenon_H2d zenon_Hd7 zenon_H146 zenon_H14c zenon_H115 zenon_H170 zenon_H1d2 zenon_H168 zenon_H1e0 zenon_H1af zenon_H1ae zenon_Hf6 zenon_H262 zenon_H232 zenon_H231 zenon_H230 zenon_H226 zenon_H45 zenon_H40 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H5f zenon_H7f zenon_H1b0 zenon_H28b zenon_H28c zenon_H28d zenon_H2ae zenon_H29e zenon_H29d zenon_H29c zenon_H29 zenon_H208 zenon_H274. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.15 apply (zenon_L134_); trivial. % 0.92/1.15 apply (zenon_L372_); trivial. % 0.92/1.15 apply (zenon_L674_); trivial. % 0.92/1.15 apply (zenon_L590_); trivial. % 0.92/1.15 (* end of lemma zenon_L682_ *) % 0.92/1.15 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1866)) -> (~(c0_1 (a1866))) -> (~(c2_1 (a1866))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (c3_1 (a1864)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp26)\/(hskp23))) -> (~(hskp15)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((hskp20)\/(hskp19))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a1890))/\((~(c0_1 (a1890)))/\(~(c1_1 (a1890))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H174 zenon_H7e zenon_H45 zenon_H1d2 zenon_H31 zenon_H79 zenon_H146 zenon_Hf6 zenon_H1e0 zenon_H1de zenon_H19b zenon_H19a zenon_H198 zenon_H94 zenon_H142 zenon_H182 zenon_H8e zenon_H2c1 zenon_H85 zenon_H86 zenon_H87 zenon_H129 zenon_H2f zenon_H14c zenon_H115 zenon_H208 zenon_H29 zenon_Hf8 zenon_H28d zenon_H28c zenon_H28b zenon_H126. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L536_); trivial. % 0.92/1.15 apply (zenon_L595_); trivial. % 0.92/1.15 (* end of lemma zenon_L683_ *) % 0.92/1.15 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H16d zenon_H208 zenon_H50 zenon_H52 zenon_H28b zenon_H28c zenon_H28d zenon_H24c zenon_H29. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H199 | zenon_intro zenon_H209 ]. % 0.92/1.15 apply (zenon_L515_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H59 | zenon_intro zenon_H2a ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H199 | zenon_intro zenon_H24d ]. % 0.92/1.15 apply (zenon_L515_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H4f | zenon_intro zenon_Hb ]. % 0.92/1.15 apply (zenon_L23_); trivial. % 0.92/1.15 apply (zenon_L6_); trivial. % 0.92/1.15 exact (zenon_H29 zenon_H2a). % 0.92/1.15 (* end of lemma zenon_L684_ *) % 0.92/1.15 assert (zenon_L685_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H16c zenon_H208 zenon_H29 zenon_H24c zenon_H28d zenon_H28c zenon_H28b zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.15 apply (zenon_L606_); trivial. % 0.92/1.15 apply (zenon_L684_); trivial. % 0.92/1.15 (* end of lemma zenon_L685_ *) % 0.92/1.15 assert (zenon_L686_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H7f zenon_H208 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H7 zenon_H1 zenon_Hf6 zenon_He4 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_H28b zenon_H28c zenon_H28d zenon_H2d zenon_H29 zenon_H24c zenon_Hf7 zenon_H31 zenon_H3d zenon_H40 zenon_H45 zenon_H16c. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.15 apply (zenon_L4_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.15 apply (zenon_L547_); trivial. % 0.92/1.15 apply (zenon_L17_); trivial. % 0.92/1.15 apply (zenon_L685_); trivial. % 0.92/1.15 (* end of lemma zenon_L686_ *) % 0.92/1.15 assert (zenon_L687_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H16c zenon_H208 zenon_H29 zenon_H24c zenon_H28d zenon_H28c zenon_H28b zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H79 zenon_H31 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H45 zenon_H7e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L158_); trivial. % 0.92/1.15 apply (zenon_L685_); trivial. % 0.92/1.15 (* end of lemma zenon_L687_ *) % 0.92/1.15 assert (zenon_L688_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H285 zenon_H1b0 zenon_H6d zenon_H79 zenon_H86 zenon_H85 zenon_H87 zenon_H1d2 zenon_H7e zenon_H16c zenon_H45 zenon_H40 zenon_H31 zenon_Hf7 zenon_H24c zenon_H29 zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H25a zenon_He4 zenon_Hf6 zenon_H1 zenon_H7 zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H7f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L686_); trivial. % 0.92/1.15 apply (zenon_L687_); trivial. % 0.92/1.15 (* end of lemma zenon_L688_ *) % 0.92/1.15 assert (zenon_L689_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H285 zenon_H1b0 zenon_H6d zenon_H4d zenon_H4b zenon_H79 zenon_H7e zenon_H16c zenon_H45 zenon_H40 zenon_H31 zenon_Hf7 zenon_H24c zenon_H29 zenon_H2d zenon_H28d zenon_H28c zenon_H28b zenon_H25a zenon_He4 zenon_Hf6 zenon_H1 zenon_H7 zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H208 zenon_H7f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L686_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L34_); trivial. % 0.92/1.15 apply (zenon_L685_); trivial. % 0.92/1.15 (* end of lemma zenon_L689_ *) % 0.92/1.15 assert (zenon_L690_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp0)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp28)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((hskp8)\/((hskp17)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/(hskp15))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H288 zenon_H16c zenon_Hf7 zenon_H24c zenon_H2d zenon_H25a zenon_He4 zenon_Hf6 zenon_H7 zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4b zenon_H4d zenon_H7f zenon_H208 zenon_H29 zenon_H14c zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1e0 zenon_H28d zenon_H28c zenon_H28b zenon_H6d zenon_H79 zenon_H7e zenon_H27a zenon_H27b zenon_H27c zenon_H283 zenon_H185 zenon_H1b0. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L27_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L34_); trivial. % 0.92/1.15 apply (zenon_L544_); trivial. % 0.92/1.15 apply (zenon_L384_); trivial. % 0.92/1.15 apply (zenon_L689_); trivial. % 0.92/1.15 (* end of lemma zenon_L690_ *) % 0.92/1.15 assert (zenon_L691_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))))) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> (~(c0_1 (a1860))) -> (~(c2_1 (a1860))) -> (c1_1 (a1860)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H285 zenon_H1b0 zenon_H7f zenon_H16c zenon_H208 zenon_H29 zenon_H24c zenon_H28d zenon_H28c zenon_H28b zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H79 zenon_H1d2 zenon_H45 zenon_H7e zenon_H21d zenon_H21e zenon_H21f zenon_H40 zenon_H31 zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H226. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L255_); trivial. % 0.92/1.15 apply (zenon_L687_); trivial. % 0.92/1.15 (* end of lemma zenon_L691_ *) % 0.92/1.15 assert (zenon_L692_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H197 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd. % 0.92/1.15 generalize (zenon_H197 (a1852)). zenon_intro zenon_H2ce. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cf ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d0 ]. % 0.92/1.15 exact (zenon_H2cb zenon_H2d1). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H2d2 ]. % 0.92/1.15 exact (zenon_H2d3 zenon_H2cc). % 0.92/1.15 exact (zenon_H2d2 zenon_H2cd). % 0.92/1.15 (* end of lemma zenon_L692_ *) % 0.92/1.15 assert (zenon_L693_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp19)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H151 zenon_Hf3. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H197 | zenon_intro zenon_H2d5 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H152 | zenon_intro zenon_Hf4 ]. % 0.92/1.15 exact (zenon_H151 zenon_H152). % 0.92/1.15 exact (zenon_Hf3 zenon_Hf4). % 0.92/1.15 (* end of lemma zenon_L693_ *) % 0.92/1.15 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H141 zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H2cd zenon_H2cc zenon_H2cb. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.92/1.15 apply (zenon_L31_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_L76_); trivial. % 0.92/1.15 (* end of lemma zenon_L694_ *) % 0.92/1.15 assert (zenon_L695_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> (~(c1_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c3_1 (a1867))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H174 zenon_H7e zenon_H146 zenon_H1ea zenon_H299 zenon_H62 zenon_H63 zenon_H64 zenon_H5 zenon_H6d zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H151 zenon_H2d4. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L693_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_L30_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L553_); trivial. % 0.92/1.15 apply (zenon_L694_); trivial. % 0.92/1.15 (* end of lemma zenon_L695_ *) % 0.92/1.15 assert (zenon_L696_ : (forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a1852)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1b8 zenon_Ha zenon_H2cb zenon_H21c zenon_H2cc. % 0.92/1.15 generalize (zenon_H1b8 (a1852)). zenon_intro zenon_H2d6. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2d6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d7 ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d8 ]. % 0.92/1.15 exact (zenon_H2cb zenon_H2d1). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d3 ]. % 0.92/1.15 generalize (zenon_H21c (a1852)). zenon_intro zenon_H2da. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H9 | zenon_intro zenon_H2db ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ]. % 0.92/1.15 exact (zenon_H2d9 zenon_H2dd). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d3 ]. % 0.92/1.15 exact (zenon_H2cb zenon_H2d1). % 0.92/1.15 exact (zenon_H2d3 zenon_H2cc). % 0.92/1.15 exact (zenon_H2d3 zenon_H2cc). % 0.92/1.15 (* end of lemma zenon_L696_ *) % 0.92/1.15 assert (zenon_L697_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (c0_1 (a1877)) -> (c3_1 (a1877)) -> (c2_1 (a1877)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1c2 zenon_Ha zenon_H84 zenon_Hd9 zenon_Hdb zenon_Hda. % 0.92/1.15 generalize (zenon_H1c2 (a1877)). zenon_intro zenon_H2de. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2de); [ zenon_intro zenon_H9 | zenon_intro zenon_H2df ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H200 | zenon_intro zenon_Hde ]. % 0.92/1.15 apply (zenon_L227_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.92/1.15 exact (zenon_He1 zenon_Hda). % 0.92/1.15 exact (zenon_He0 zenon_Hdb). % 0.92/1.15 (* end of lemma zenon_L697_ *) % 0.92/1.15 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp8)) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hfb zenon_H226 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1c5 zenon_H4b zenon_H50 zenon_H52 zenon_H83 zenon_H1de zenon_H1. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.15 apply (zenon_L87_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c6 ]. % 0.92/1.15 apply (zenon_L696_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H4c ]. % 0.92/1.15 apply (zenon_L697_); trivial. % 0.92/1.15 exact (zenon_H4b zenon_H4c). % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.15 apply (zenon_L56_); trivial. % 0.92/1.15 exact (zenon_H1 zenon_H2). % 0.92/1.15 (* end of lemma zenon_L698_ *) % 0.92/1.15 assert (zenon_L699_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (~(hskp14)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> (~(c3_1 (a1867))) -> (~(c2_1 (a1867))) -> (~(c1_1 (a1867))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H7f zenon_H172 zenon_H10d zenon_H2c1 zenon_H8e zenon_H182 zenon_H1de zenon_H4b zenon_H1c5 zenon_H1 zenon_H226 zenon_Hf6 zenon_H2d4 zenon_H151 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H6d zenon_H64 zenon_H63 zenon_H62 zenon_H299 zenon_H1ea zenon_H146 zenon_H7e zenon_H174. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L695_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L693_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L553_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L592_); trivial. % 0.92/1.15 apply (zenon_L698_); trivial. % 0.92/1.15 apply (zenon_L102_); trivial. % 0.92/1.15 (* end of lemma zenon_L699_ *) % 0.92/1.15 assert (zenon_L700_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(hskp16)) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hfb zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.92/1.15 apply (zenon_L56_); trivial. % 0.92/1.15 exact (zenon_H5 zenon_H6). % 0.92/1.15 (* end of lemma zenon_L700_ *) % 0.92/1.15 assert (zenon_L701_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf6 zenon_H1dc zenon_H5 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L112_); trivial. % 0.92/1.15 apply (zenon_L700_); trivial. % 0.92/1.15 (* end of lemma zenon_L701_ *) % 0.92/1.15 assert (zenon_L702_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (ndr1_0) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (c3_1 (a1868)) -> (~(hskp22)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf6 zenon_H226 zenon_H1 zenon_H50 zenon_H52 zenon_H83 zenon_H1c5 zenon_H4b zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_Ha zenon_H179 zenon_H17a zenon_H17b zenon_H6b zenon_H182. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L112_); trivial. % 0.92/1.15 apply (zenon_L698_); trivial. % 0.92/1.15 (* end of lemma zenon_L702_ *) % 0.92/1.15 assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H186 zenon_H7f zenon_H1de zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H182 zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H79 zenon_H45 zenon_H7e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_L701_); trivial. % 0.92/1.15 apply (zenon_L33_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_L702_); trivial. % 0.92/1.15 apply (zenon_L33_); trivial. % 0.92/1.15 (* end of lemma zenon_L703_ *) % 0.92/1.15 assert (zenon_L704_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1ae zenon_H92 zenon_H90 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7f zenon_H172 zenon_H10d zenon_H2c1 zenon_H8e zenon_H182 zenon_H1de zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H6d zenon_H299 zenon_H1ea zenon_H146 zenon_H7e zenon_H174 zenon_H79 zenon_H1dc zenon_H184 zenon_H1b0. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L27_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.15 apply (zenon_L699_); trivial. % 0.92/1.15 apply (zenon_L703_); trivial. % 0.92/1.15 apply (zenon_L132_); trivial. % 0.92/1.15 (* end of lemma zenon_L704_ *) % 0.92/1.15 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(hskp5)) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf5 zenon_H1a7 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H96. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1a8 ]. % 0.92/1.15 apply (zenon_L51_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H197 | zenon_intro zenon_H97 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 exact (zenon_H96 zenon_H97). % 0.92/1.15 (* end of lemma zenon_L705_ *) % 0.92/1.15 assert (zenon_L706_ : ((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H277 zenon_H115 zenon_H1a7 zenon_H96 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1 zenon_Hb5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.15 apply (zenon_L47_); trivial. % 0.92/1.15 apply (zenon_L705_); trivial. % 0.92/1.15 (* end of lemma zenon_L706_ *) % 0.92/1.15 assert (zenon_L707_ : ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H2e0 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H127 zenon_H4b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H2e1 ]. % 0.92/1.15 apply (zenon_L128_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H128 | zenon_intro zenon_H4c ]. % 0.92/1.15 exact (zenon_H127 zenon_H128). % 0.92/1.15 exact (zenon_H4b zenon_H4c). % 0.92/1.15 (* end of lemma zenon_L707_ *) % 0.92/1.15 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H141 zenon_Hf6 zenon_H1dc zenon_H5 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H12c zenon_H12d zenon_H12e zenon_H182 zenon_H6b zenon_H8e zenon_H2c1. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H144. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H137. zenon_intro zenon_H138. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L592_); trivial. % 0.92/1.15 apply (zenon_L700_); trivial. % 0.92/1.15 (* end of lemma zenon_L708_ *) % 0.92/1.15 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H7b zenon_H146 zenon_H1ea zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H4b zenon_H2e0. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L707_); trivial. % 0.92/1.15 apply (zenon_L694_); trivial. % 0.92/1.15 (* end of lemma zenon_L709_ *) % 0.92/1.15 assert (zenon_L710_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H174 zenon_H7e zenon_H1ea zenon_H2e0 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H2c1 zenon_H8e zenon_H182 zenon_H5 zenon_H1dc zenon_Hf6 zenon_H146 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H151 zenon_H2d4. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L693_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L707_); trivial. % 0.92/1.15 apply (zenon_L708_); trivial. % 0.92/1.15 apply (zenon_L709_); trivial. % 0.92/1.15 (* end of lemma zenon_L710_ *) % 0.92/1.15 assert (zenon_L711_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> (~(hskp10)) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H289 zenon_H4b zenon_H52 zenon_H83 zenon_H1c5 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H15. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H23e | zenon_intro zenon_H28a ]. % 0.92/1.15 apply (zenon_L577_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H16 ]. % 0.92/1.15 apply (zenon_L128_); trivial. % 0.92/1.15 exact (zenon_H15 zenon_H16). % 0.92/1.15 (* end of lemma zenon_L711_ *) % 0.92/1.15 assert (zenon_L712_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(hskp10)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hfb zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_H4b zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1c5 zenon_H2cb zenon_H2cc zenon_H2cd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.15 apply (zenon_L87_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c6 ]. % 0.92/1.15 apply (zenon_L128_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H4c ]. % 0.92/1.15 apply (zenon_L697_); trivial. % 0.92/1.15 exact (zenon_H4b zenon_H4c). % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 (* end of lemma zenon_L712_ *) % 0.92/1.15 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H44 zenon_Hf6 zenon_H1de zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H4b zenon_H1c5 zenon_H50 zenon_H52 zenon_H83 zenon_H1d8. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L142_); trivial. % 0.92/1.15 apply (zenon_L712_); trivial. % 0.92/1.15 (* end of lemma zenon_L713_ *) % 0.92/1.15 assert (zenon_L714_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H4a zenon_Hf6 zenon_H1de zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1d8 zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H289. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.15 apply (zenon_L711_); trivial. % 0.92/1.15 apply (zenon_L713_); trivial. % 0.92/1.15 (* end of lemma zenon_L714_ *) % 0.92/1.15 assert (zenon_L715_ : (forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))) -> (ndr1_0) -> (c0_1 (a1868)) -> (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36)))))) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H135 zenon_Ha zenon_H17a zenon_H228 zenon_H179 zenon_H17b. % 0.92/1.15 generalize (zenon_H135 (a1868)). zenon_intro zenon_H2e2. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e3 ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H181 | zenon_intro zenon_H214 ]. % 0.92/1.15 exact (zenon_H181 zenon_H17a). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H180 ]. % 0.92/1.15 generalize (zenon_H228 (a1868)). zenon_intro zenon_H2e4. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e5 ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H219 | zenon_intro zenon_H2e6 ]. % 0.92/1.15 exact (zenon_H215 zenon_H219). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H17f | zenon_intro zenon_H181 ]. % 0.92/1.15 exact (zenon_H179 zenon_H17f). % 0.92/1.15 exact (zenon_H181 zenon_H17a). % 0.92/1.15 exact (zenon_H180 zenon_H17b). % 0.92/1.15 (* end of lemma zenon_L715_ *) % 0.92/1.15 assert (zenon_L716_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (c0_1 (a1868)) -> (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36)))))) -> (~(c2_1 (a1868))) -> (c3_1 (a1868)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H17a zenon_H228 zenon_H179 zenon_H17b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.92/1.15 apply (zenon_L31_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_L715_); trivial. % 0.92/1.15 (* end of lemma zenon_L716_ *) % 0.92/1.15 assert (zenon_L717_ : ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (c3_1 (a1868)) -> (~(c2_1 (a1868))) -> (c0_1 (a1868)) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(hskp26)) -> (~(hskp27)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H22c zenon_H17b zenon_H179 zenon_H17a zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H70 zenon_H71 zenon_H72 zenon_H1ea zenon_H127 zenon_Hb9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H228 | zenon_intro zenon_H22d ]. % 0.92/1.15 apply (zenon_L716_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H128 | zenon_intro zenon_Hba ]. % 0.92/1.15 exact (zenon_H127 zenon_H128). % 0.92/1.15 exact (zenon_Hb9 zenon_Hba). % 0.92/1.15 (* end of lemma zenon_L717_ *) % 0.92/1.15 assert (zenon_L718_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1868)) -> (c0_1 (a1868)) -> (~(c2_1 (a1868))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H7e zenon_H146 zenon_H22c zenon_H1ea zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H5 zenon_H1dc zenon_Hf6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_L701_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L717_); trivial. % 0.92/1.15 apply (zenon_L700_); trivial. % 0.92/1.15 apply (zenon_L694_); trivial. % 0.92/1.15 (* end of lemma zenon_L718_ *) % 0.92/1.15 assert (zenon_L719_ : (forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))) -> (ndr1_0) -> (c0_1 (a1877)) -> (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (c3_1 (a1877)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H135 zenon_Ha zenon_Hd9 zenon_H84 zenon_Hdb. % 0.92/1.15 generalize (zenon_H135 (a1877)). zenon_intro zenon_H2e7. % 0.92/1.15 apply (zenon_imply_s _ _ zenon_H2e7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e8 ]. % 0.92/1.15 exact (zenon_H9 zenon_Ha). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_Hdf | zenon_intro zenon_H2e9 ]. % 0.92/1.15 exact (zenon_Hdf zenon_Hd9). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H200 | zenon_intro zenon_He0 ]. % 0.92/1.15 apply (zenon_L227_); trivial. % 0.92/1.15 exact (zenon_He0 zenon_Hdb). % 0.92/1.15 (* end of lemma zenon_L719_ *) % 0.92/1.15 assert (zenon_L720_ : ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (c0_1 (a1877)) -> (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52)))))) -> (c3_1 (a1877)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1ea zenon_H72 zenon_H71 zenon_H70 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_Hd9 zenon_H84 zenon_Hdb. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H6f | zenon_intro zenon_H1eb ]. % 0.92/1.15 apply (zenon_L31_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H197 | zenon_intro zenon_H135 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 apply (zenon_L719_); trivial. % 0.92/1.15 (* end of lemma zenon_L720_ *) % 0.92/1.15 assert (zenon_L721_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(c2_1 (a1899))) -> (~(c3_1 (a1899))) -> (c0_1 (a1899)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hfb zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_H70 zenon_H71 zenon_H72 zenon_H1ea zenon_H2cb zenon_H2cc zenon_H2cd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.15 apply (zenon_L87_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.15 apply (zenon_L720_); trivial. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 (* end of lemma zenon_L721_ *) % 0.92/1.15 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1862)) -> (c0_1 (a1862)) -> (~(c2_1 (a1862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H186 zenon_H7f zenon_H1c5 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1de zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H182 zenon_H1ea zenon_H22c zenon_H146 zenon_H7e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L718_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L112_); trivial. % 0.92/1.15 apply (zenon_L712_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L717_); trivial. % 0.92/1.15 apply (zenon_L721_); trivial. % 0.92/1.15 apply (zenon_L694_); trivial. % 0.92/1.15 (* end of lemma zenon_L722_ *) % 0.92/1.15 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H92 zenon_H90 zenon_H7f zenon_H4a zenon_H1de zenon_H1d8 zenon_H1c5 zenon_H289 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H146 zenon_Hf6 zenon_H1dc zenon_H182 zenon_H8e zenon_H2c1 zenon_H2e0 zenon_H1ea zenon_H7e zenon_H174 zenon_H22c zenon_H184. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L710_); trivial. % 0.92/1.15 apply (zenon_L714_); trivial. % 0.92/1.15 apply (zenon_L722_); trivial. % 0.92/1.15 apply (zenon_L132_); trivial. % 0.92/1.15 (* end of lemma zenon_L723_ *) % 0.92/1.15 assert (zenon_L724_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H26f zenon_H4a zenon_H1d8 zenon_H289 zenon_H2e0 zenon_H22c zenon_H1ae zenon_H92 zenon_H90 zenon_H45 zenon_H40 zenon_H4d zenon_H7f zenon_H172 zenon_H10d zenon_H2c1 zenon_H8e zenon_H182 zenon_H1de zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H6d zenon_H299 zenon_H1ea zenon_H146 zenon_H7e zenon_H174 zenon_H79 zenon_H1dc zenon_H184 zenon_H1b0 zenon_Hb5 zenon_H96 zenon_H1a7 zenon_H115 zenon_H274. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.15 apply (zenon_L704_); trivial. % 0.92/1.15 apply (zenon_L706_); trivial. % 0.92/1.15 apply (zenon_L723_); trivial. % 0.92/1.15 (* end of lemma zenon_L724_ *) % 0.92/1.15 assert (zenon_L725_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp22)) -> (~(hskp27)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1a7 zenon_H6b zenon_Hb9 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H96. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1a8 ]. % 0.92/1.15 apply (zenon_L186_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H197 | zenon_intro zenon_H97 ]. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 exact (zenon_H96 zenon_H97). % 0.92/1.15 (* end of lemma zenon_L725_ *) % 0.92/1.15 assert (zenon_L726_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf6 zenon_H1dc zenon_H5 zenon_H182 zenon_H6b zenon_H1ed zenon_H1ec zenon_H1f5 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H96 zenon_H1a7. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L725_); trivial. % 0.92/1.15 apply (zenon_L700_); trivial. % 0.92/1.15 (* end of lemma zenon_L726_ *) % 0.92/1.15 assert (zenon_L727_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H174 zenon_H7e zenon_H172 zenon_H10d zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H5 zenon_H1dc zenon_Hf6 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H151 zenon_H2d4. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L693_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_L726_); trivial. % 0.92/1.15 apply (zenon_L102_); trivial. % 0.92/1.15 (* end of lemma zenon_L727_ *) % 0.92/1.15 assert (zenon_L728_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_H2cb zenon_H2cc zenon_H2cd. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.15 apply (zenon_L87_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.15 apply (zenon_L36_); trivial. % 0.92/1.15 apply (zenon_L692_); trivial. % 0.92/1.15 (* end of lemma zenon_L728_ *) % 0.92/1.15 assert (zenon_L729_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1864)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H186 zenon_H7f zenon_H1de zenon_H87 zenon_H86 zenon_H85 zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H182 zenon_H1ea zenon_H22c zenon_H146 zenon_H7e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L718_); trivial. % 0.92/1.15 apply (zenon_L728_); trivial. % 0.92/1.15 (* end of lemma zenon_L729_ *) % 0.92/1.15 assert (zenon_L730_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1b1 zenon_H184 zenon_H1ea zenon_H22c zenon_H146 zenon_H174 zenon_H7e zenon_H172 zenon_H10d zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1dc zenon_Hf6 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H2d4 zenon_H1de zenon_H7f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L727_); trivial. % 0.92/1.15 apply (zenon_L728_); trivial. % 0.92/1.15 apply (zenon_L729_); trivial. % 0.92/1.15 (* end of lemma zenon_L730_ *) % 0.92/1.15 assert (zenon_L731_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1ae zenon_H22c zenon_H172 zenon_H10d zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7f zenon_H79 zenon_H1a7 zenon_H96 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H182 zenon_H1de zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H6d zenon_H299 zenon_H1ea zenon_H146 zenon_H7e zenon_H174 zenon_H1dc zenon_H184 zenon_H1b0. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.15 apply (zenon_L27_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L695_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L725_); trivial. % 0.92/1.15 apply (zenon_L698_); trivial. % 0.92/1.15 apply (zenon_L33_); trivial. % 0.92/1.15 apply (zenon_L703_); trivial. % 0.92/1.15 apply (zenon_L730_); trivial. % 0.92/1.15 (* end of lemma zenon_L731_ *) % 0.92/1.15 assert (zenon_L732_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H7f zenon_H4a zenon_H1de zenon_H1d8 zenon_H1c5 zenon_H289 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hf6 zenon_H1dc zenon_H182 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H96 zenon_H1a7 zenon_H10d zenon_H172 zenon_H7e zenon_H174 zenon_H146 zenon_H22c zenon_H1ea zenon_H184. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_L727_); trivial. % 0.92/1.15 apply (zenon_L714_); trivial. % 0.92/1.15 apply (zenon_L722_); trivial. % 0.92/1.15 apply (zenon_L730_); trivial. % 0.92/1.15 (* end of lemma zenon_L732_ *) % 0.92/1.15 assert (zenon_L733_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> (~(hskp1)) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H114 zenon_H155 zenon_H153 zenon_H151 zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Ha zenon_Hd7 zenon_Hd3 zenon_H90 zenon_Hbb zenon_H2cb zenon_H2cc zenon_H2cd zenon_H5 zenon_H1dc zenon_Hf6 zenon_H115. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.15 apply (zenon_L47_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L55_); trivial. % 0.92/1.15 apply (zenon_L700_); trivial. % 0.92/1.15 apply (zenon_L85_); trivial. % 0.92/1.15 (* end of lemma zenon_L733_ *) % 0.92/1.15 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H44 zenon_Hf6 zenon_H226 zenon_H1 zenon_H1c5 zenon_H4b zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H50 zenon_H52 zenon_H83 zenon_H1d8. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L142_); trivial. % 0.92/1.15 apply (zenon_L698_); trivial. % 0.92/1.15 (* end of lemma zenon_L734_ *) % 0.92/1.15 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp15)) -> ((hskp18)\/((hskp10)\/(hskp15))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H4a zenon_Hf6 zenon_H226 zenon_H1 zenon_H1c5 zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H1d8 zenon_H4b zenon_H2f zenon_H2b5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.15 apply (zenon_L575_); trivial. % 0.92/1.15 apply (zenon_L734_); trivial. % 0.92/1.15 (* end of lemma zenon_L735_ *) % 0.92/1.15 assert (zenon_L736_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c0_1 (a1884))) -> (~(c1_1 (a1884))) -> (~(c3_1 (a1884))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp22)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf5 zenon_H146 zenon_Hf6 zenon_H1dc zenon_H5 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H12c zenon_H12d zenon_H12e zenon_H182 zenon_H6b zenon_H8e zenon_H2c1 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L92_); trivial. % 0.92/1.15 apply (zenon_L708_); trivial. % 0.92/1.15 (* end of lemma zenon_L736_ *) % 0.92/1.15 assert (zenon_L737_ : ((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c0_1 (a1899)) -> (~(c3_1 (a1899))) -> (~(c2_1 (a1899))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf5 zenon_H146 zenon_H1ea zenon_H2cd zenon_H2cc zenon_H2cb zenon_H72 zenon_H71 zenon_H70 zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.15 apply (zenon_L92_); trivial. % 0.92/1.15 apply (zenon_L694_); trivial. % 0.92/1.15 (* end of lemma zenon_L737_ *) % 0.92/1.15 assert (zenon_L738_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> (c1_1 (a1870)) -> (~(c3_1 (a1870))) -> (~(c0_1 (a1870))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H7b zenon_H115 zenon_H146 zenon_H1ea zenon_H2cd zenon_H2cc zenon_H2cb zenon_H168 zenon_H161 zenon_H160 zenon_H15f zenon_Hd0 zenon_Hd3 zenon_Hd7 zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.15 apply (zenon_L47_); trivial. % 0.92/1.15 apply (zenon_L737_); trivial. % 0.92/1.15 (* end of lemma zenon_L738_ *) % 0.92/1.15 assert (zenon_L739_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H80 zenon_H45 zenon_Hf6 zenon_H226 zenon_H1c5 zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H1 zenon_H4b zenon_H4d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 0.92/1.15 apply (zenon_L21_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_Ha. zenon_intro zenon_H41. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H36. zenon_intro zenon_H42. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H34. zenon_intro zenon_H35. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.15 apply (zenon_L285_); trivial. % 0.92/1.15 apply (zenon_L698_); trivial. % 0.92/1.15 (* end of lemma zenon_L739_ *) % 0.92/1.15 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (~(hskp14)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H175 zenon_H7f zenon_H45 zenon_H226 zenon_H1c5 zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H4b zenon_H4d zenon_H2d4 zenon_H151 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H7e zenon_H1ea zenon_Hb5 zenon_H1 zenon_Hac zenon_Hab zenon_Haa zenon_Hd7 zenon_Hd3 zenon_H168 zenon_H2c1 zenon_H8e zenon_H182 zenon_H1dc zenon_Hf6 zenon_H146 zenon_H115 zenon_H153 zenon_H155 zenon_H114 zenon_H174. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.15 apply (zenon_L693_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.15 apply (zenon_L47_); trivial. % 0.92/1.15 apply (zenon_L736_); trivial. % 0.92/1.15 apply (zenon_L738_); trivial. % 0.92/1.15 apply (zenon_L85_); trivial. % 0.92/1.15 apply (zenon_L739_); trivial. % 0.92/1.15 (* end of lemma zenon_L740_ *) % 0.92/1.15 assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H186 zenon_H7f zenon_H45 zenon_H226 zenon_H1c5 zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H1 zenon_H4b zenon_H4d zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H182 zenon_H1ea zenon_H22c zenon_H146 zenon_H7e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L718_); trivial. % 0.92/1.16 apply (zenon_L739_); trivial. % 0.92/1.16 (* end of lemma zenon_L741_ *) % 0.92/1.16 assert (zenon_L742_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp10)) -> ((hskp18)\/((hskp10)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1911))/\((~(c1_1 (a1911)))/\(~(c3_1 (a1911))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((hskp29)\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1885))/\((c1_1 (a1885))/\(c2_1 (a1885)))))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp23))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp29)\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H184 zenon_H22c zenon_H7f zenon_H4a zenon_H226 zenon_H1c5 zenon_H1de zenon_H1d8 zenon_H4b zenon_H2b5 zenon_H115 zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_Hbb zenon_H90 zenon_Hd3 zenon_Hd7 zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H1 zenon_Hb5 zenon_H153 zenon_H155 zenon_H114 zenon_H174 zenon_H146 zenon_H182 zenon_H8e zenon_H2c1 zenon_H168 zenon_H1ea zenon_H7e zenon_H2d4 zenon_H4d zenon_H5d zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H45 zenon_H185. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L733_); trivial. % 0.92/1.16 apply (zenon_L735_); trivial. % 0.92/1.16 apply (zenon_L740_); trivial. % 0.92/1.16 apply (zenon_L741_); trivial. % 0.92/1.16 (* end of lemma zenon_L742_ *) % 0.92/1.16 assert (zenon_L743_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H1dc zenon_H5 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_L320_); trivial. % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 (* end of lemma zenon_L743_ *) % 0.92/1.16 assert (zenon_L744_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (ndr1_0) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H7f zenon_H45 zenon_H226 zenon_H1c5 zenon_H1de zenon_H210 zenon_H5d zenon_H1 zenon_H4b zenon_H4d zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1dc zenon_Hf6. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L743_); trivial. % 0.92/1.16 apply (zenon_L739_); trivial. % 0.92/1.16 (* end of lemma zenon_L744_ *) % 0.92/1.16 assert (zenon_L745_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (c0_1 (a1861)) -> (~(c2_1 (a1861))) -> (~(c1_1 (a1861))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b1 zenon_H7f zenon_H1de zenon_H262 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H232 zenon_H231 zenon_H230 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1dc zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L743_); trivial. % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 (* end of lemma zenon_L745_ *) % 0.92/1.16 assert (zenon_L746_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c1_1 (a1861))) -> (~(c2_1 (a1861))) -> (c0_1 (a1861)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H230 zenon_H231 zenon_H232 zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H262 zenon_H289 zenon_H1c5 zenon_H1d8 zenon_H1de zenon_H4a zenon_H7f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L743_); trivial. % 0.92/1.16 apply (zenon_L714_); trivial. % 0.92/1.16 apply (zenon_L745_); trivial. % 0.92/1.16 (* end of lemma zenon_L746_ *) % 0.92/1.16 assert (zenon_L747_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H27c zenon_H27b zenon_H147 zenon_Ha zenon_H5. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.92/1.16 apply (zenon_L692_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.92/1.16 apply (zenon_L667_); trivial. % 0.92/1.16 exact (zenon_H5 zenon_H6). % 0.92/1.16 (* end of lemma zenon_L747_ *) % 0.92/1.16 assert (zenon_L748_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H1dc zenon_H5 zenon_H27c zenon_H27b zenon_H2cd zenon_H2cc zenon_H2cb zenon_Ha zenon_Haa zenon_Hab zenon_Hac zenon_H210. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.92/1.16 apply (zenon_L747_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.92/1.16 apply (zenon_L45_); trivial. % 0.92/1.16 exact (zenon_Hb9 zenon_Hba). % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 (* end of lemma zenon_L748_ *) % 0.92/1.16 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1872)) -> (c2_1 (a1872)) -> (~(c0_1 (a1872))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hfb zenon_H1de zenon_H83 zenon_H52 zenon_H50 zenon_H27a zenon_H27b zenon_H27c zenon_Haa zenon_Hab zenon_Hac zenon_H244 zenon_H2cb zenon_H2cc zenon_H2cd. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.16 apply (zenon_L87_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H247 ]. % 0.92/1.16 apply (zenon_L45_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23e | zenon_intro zenon_H1a ]. % 0.92/1.16 apply (zenon_L376_); trivial. % 0.92/1.16 apply (zenon_L228_); trivial. % 0.92/1.16 apply (zenon_L692_); trivial. % 0.92/1.16 (* end of lemma zenon_L749_ *) % 0.92/1.16 assert (zenon_L750_ : ((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c1_1 (a1856))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H277 zenon_H7f zenon_H1de zenon_H27a zenon_H244 zenon_H210 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H27b zenon_H27c zenon_H1dc zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L748_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_L244_); trivial. % 0.92/1.16 apply (zenon_L749_); trivial. % 0.92/1.16 (* end of lemma zenon_L750_ *) % 0.92/1.16 assert (zenon_L751_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (c2_1 (a1857)) -> (~(c3_1 (a1857))) -> (~(c0_1 (a1857))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b0 zenon_H7f zenon_Hf6 zenon_H226 zenon_H1c5 zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H210 zenon_H232 zenon_H231 zenon_H230 zenon_H5d zenon_H6d zenon_H79 zenon_H7e zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L27_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L34_); trivial. % 0.92/1.16 apply (zenon_L739_); trivial. % 0.92/1.16 (* end of lemma zenon_L751_ *) % 0.92/1.16 assert (zenon_L752_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b1 zenon_H7f zenon_H1dc zenon_H27c zenon_H27b zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1de. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H147 | zenon_intro zenon_H1df ]. % 0.92/1.16 apply (zenon_L747_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H84 | zenon_intro zenon_H197 ]. % 0.92/1.16 apply (zenon_L36_); trivial. % 0.92/1.16 apply (zenon_L692_); trivial. % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 (* end of lemma zenon_L752_ *) % 0.92/1.16 assert (zenon_L753_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c0_1 (a1855))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp7)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H26f zenon_H7f zenon_H4a zenon_H1de zenon_H1d8 zenon_H1c5 zenon_H289 zenon_H2d4 zenon_H2cd zenon_H2cc zenon_H2cb zenon_H146 zenon_Hf6 zenon_H1dc zenon_H182 zenon_H2c1 zenon_H2e0 zenon_H1ea zenon_H7e zenon_H174 zenon_H22c zenon_H184 zenon_H45 zenon_H1fe zenon_H90 zenon_H28d zenon_H28c zenon_H28b zenon_H4d zenon_H8e zenon_H92 zenon_H1ae. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_L519_); trivial. % 0.92/1.16 apply (zenon_L723_); trivial. % 0.92/1.16 (* end of lemma zenon_L753_ *) % 0.92/1.16 assert (zenon_L754_ : ((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H294 zenon_H273 zenon_H262 zenon_H1ae zenon_H92 zenon_H4d zenon_H28b zenon_H28c zenon_H28d zenon_H90 zenon_H1fe zenon_H45 zenon_H184 zenon_H22c zenon_H174 zenon_H7e zenon_H1ea zenon_H2e0 zenon_H2c1 zenon_H182 zenon_H1dc zenon_Hf6 zenon_H146 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H2d4 zenon_H289 zenon_H1c5 zenon_H1d8 zenon_H1de zenon_H4a zenon_H7f zenon_H26f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.16 apply (zenon_L753_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L518_); trivial. % 0.92/1.16 apply (zenon_L745_); trivial. % 0.92/1.16 apply (zenon_L746_); trivial. % 0.92/1.16 (* end of lemma zenon_L754_ *) % 0.92/1.16 assert (zenon_L755_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1861))/\((~(c1_1 (a1861)))/\(~(c2_1 (a1861))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/((hskp7)\/(hskp1))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1884)))/\((~(c1_1 (a1884)))/\(~(c3_1 (a1884))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((hskp26)\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> (ndr1_0) -> (~(c0_1 (a1855))) -> (~(c1_1 (a1855))) -> (~(c2_1 (a1855))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp4)\/(hskp5))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H298 zenon_H273 zenon_H262 zenon_H1ae zenon_H92 zenon_H4d zenon_H90 zenon_H1fe zenon_H45 zenon_H184 zenon_H22c zenon_H174 zenon_H7e zenon_H1ea zenon_H2e0 zenon_H2c1 zenon_H182 zenon_H1dc zenon_Hf6 zenon_H146 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H2d4 zenon_H289 zenon_H1c5 zenon_H1d8 zenon_H1de zenon_H4a zenon_H7f zenon_H26f zenon_Ha zenon_H28b zenon_H28c zenon_H28d zenon_H153 zenon_H1a9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 0.92/1.16 apply (zenon_L516_); trivial. % 0.92/1.16 apply (zenon_L754_); trivial. % 0.92/1.16 (* end of lemma zenon_L755_ *) % 0.92/1.16 assert (zenon_L756_ : ((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1856)) -> (c2_1 (a1856)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H44 zenon_Hf6 zenon_H1dc zenon_H5 zenon_H27c zenon_H27b zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1d8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1d9 ]. % 0.92/1.16 apply (zenon_L747_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d4 | zenon_intro zenon_Hba ]. % 0.92/1.16 apply (zenon_L141_); trivial. % 0.92/1.16 exact (zenon_Hb9 zenon_Hba). % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 (* end of lemma zenon_L756_ *) % 0.92/1.16 assert (zenon_L757_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(c1_1 (a1856))) -> (c2_1 (a1856)) -> (c3_1 (a1856)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H4a zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H1d8 zenon_H27a zenon_H27b zenon_H27c zenon_H289 zenon_H1c5 zenon_H1de zenon_H7f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L452_); trivial. % 0.92/1.16 apply (zenon_L756_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L452_); trivial. % 0.92/1.16 apply (zenon_L713_); trivial. % 0.92/1.16 apply (zenon_L752_); trivial. % 0.92/1.16 (* end of lemma zenon_L757_ *) % 0.92/1.16 assert (zenon_L758_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1868))/\((c3_1 (a1868))/\(~(c2_1 (a1868))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((~(c0_1 X2))\/(~(c3_1 X2))))))\/((hskp27)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp8)\/(hskp21))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c1_1 X18)\/(~(c3_1 X18))))))\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a1898))/\((~(c0_1 (a1898)))/\(~(c1_1 (a1898))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b0 zenon_H184 zenon_H7f zenon_H1de zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H182 zenon_H79 zenon_H7e zenon_H189 zenon_H153 zenon_H155 zenon_H114 zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L27_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_L157_); trivial. % 0.92/1.16 apply (zenon_L703_); trivial. % 0.92/1.16 (* end of lemma zenon_L758_ *) % 0.92/1.16 assert (zenon_L759_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> (c1_1 (a1852)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a1852))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H2b3 zenon_H29e zenon_H29d zenon_H29c zenon_H2cc zenon_H21c zenon_H2cb zenon_Ha zenon_H5. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H29b | zenon_intro zenon_H2b4 ]. % 0.92/1.16 apply (zenon_L563_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H6 ]. % 0.92/1.16 apply (zenon_L696_); trivial. % 0.92/1.16 exact (zenon_H5 zenon_H6). % 0.92/1.16 (* end of lemma zenon_L759_ *) % 0.92/1.16 assert (zenon_L760_ : ((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a1864)) -> (~(c1_1 (a1864))) -> (c3_1 (a1864)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H7b zenon_H146 zenon_H1ea zenon_H226 zenon_H1 zenon_H86 zenon_H85 zenon_H87 zenon_H22c zenon_H29c zenon_H29d zenon_H29e zenon_H2cb zenon_H2cc zenon_H5 zenon_H2b3 zenon_H2cd zenon_H1dc zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.16 apply (zenon_L759_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.16 apply (zenon_L260_); trivial. % 0.92/1.16 exact (zenon_H1 zenon_H2). % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 apply (zenon_L694_); trivial. % 0.92/1.16 (* end of lemma zenon_L760_ *) % 0.92/1.16 assert (zenon_L761_ : ((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> (c3_1 (a1864)) -> (~(c1_1 (a1864))) -> (c0_1 (a1864)) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b4 zenon_H7f zenon_H1de zenon_H6d zenon_Hf6 zenon_H1dc zenon_H2cd zenon_H2b3 zenon_H2cc zenon_H2cb zenon_H29e zenon_H29d zenon_H29c zenon_H22c zenon_H87 zenon_H85 zenon_H86 zenon_H1 zenon_H226 zenon_H1ea zenon_H146 zenon_H7e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 0.92/1.16 apply (zenon_L30_); trivial. % 0.92/1.16 apply (zenon_L760_); trivial. % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 (* end of lemma zenon_L761_ *) % 0.92/1.16 assert (zenon_L762_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b1 zenon_H1b0 zenon_H6d zenon_Hf6 zenon_H1dc zenon_H22c zenon_H1ea zenon_H146 zenon_H7e zenon_H226 zenon_H1 zenon_H31 zenon_H40 zenon_H29c zenon_H29d zenon_H29e zenon_H2cb zenon_H2cc zenon_H2b3 zenon_H2cd zenon_H1de zenon_H7f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.16 apply (zenon_L759_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.16 apply (zenon_L169_); trivial. % 0.92/1.16 exact (zenon_H1 zenon_H2). % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 apply (zenon_L761_); trivial. % 0.92/1.16 (* end of lemma zenon_L762_ *) % 0.92/1.16 assert (zenon_L763_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1862))) -> (c0_1 (a1862)) -> (c1_1 (a1862)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b1 zenon_H7f zenon_H1de zenon_H2cd zenon_H2cc zenon_H2cb zenon_H29c zenon_H29d zenon_H29e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H2b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L574_); trivial. % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 (* end of lemma zenon_L763_ *) % 0.92/1.16 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1c7 zenon_H1ae zenon_H2b3 zenon_H29e zenon_H29d zenon_H29c zenon_H289 zenon_H1c5 zenon_H1d8 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1de zenon_Hf6 zenon_H4a zenon_H7f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L574_); trivial. % 0.92/1.16 apply (zenon_L714_); trivial. % 0.92/1.16 apply (zenon_L763_); trivial. % 0.92/1.16 (* end of lemma zenon_L764_ *) % 0.92/1.16 assert (zenon_L765_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1ae zenon_H1dc zenon_H22c zenon_H1ea zenon_H146 zenon_H29c zenon_H29d zenon_H29e zenon_H2b3 zenon_H45 zenon_H40 zenon_H31 zenon_H1 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H230 zenon_H231 zenon_H232 zenon_H210 zenon_H1de zenon_H2cd zenon_H2cb zenon_H2cc zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H7f zenon_H1b0. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L751_); trivial. % 0.92/1.16 apply (zenon_L762_); trivial. % 0.92/1.16 (* end of lemma zenon_L765_ *) % 0.92/1.16 assert (zenon_L766_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1878)) -> (c2_1 (a1878)) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1dc zenon_H2cd zenon_H2cc zenon_H2cb zenon_H101 zenon_He8 zenon_H147 zenon_Ha zenon_H5. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H197 | zenon_intro zenon_H1dd ]. % 0.92/1.16 apply (zenon_L692_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H6 ]. % 0.92/1.16 apply (zenon_L188_); trivial. % 0.92/1.16 exact (zenon_H5 zenon_H6). % 0.92/1.16 (* end of lemma zenon_L766_ *) % 0.92/1.16 assert (zenon_L767_ : ((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(hskp16)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (c2_1 (a1863)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (~(hskp27)) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hfe zenon_H210 zenon_H5 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1dc zenon_Hac zenon_Hab zenon_Haa zenon_Hb9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H147 | zenon_intro zenon_H211 ]. % 0.92/1.16 apply (zenon_L766_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hba ]. % 0.92/1.16 apply (zenon_L45_); trivial. % 0.92/1.16 exact (zenon_Hb9 zenon_Hba). % 0.92/1.16 (* end of lemma zenon_L767_ *) % 0.92/1.16 assert (zenon_L768_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> (~(c3_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c0_1 (a1865))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a1852)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (~(c1_1 (a1863))) -> (~(c3_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H25a zenon_H251 zenon_H250 zenon_H24f zenon_Ha zenon_H1dc zenon_H5 zenon_H2cd zenon_H2cc zenon_H2cb zenon_Haa zenon_Hab zenon_Hac zenon_H210 zenon_Hf7. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 0.92/1.16 apply (zenon_L305_); trivial. % 0.92/1.16 apply (zenon_L767_); trivial. % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 (* end of lemma zenon_L768_ *) % 0.92/1.16 assert (zenon_L769_ : ((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (~(c0_1 (a1872))) -> (c2_1 (a1872)) -> (c3_1 (a1872)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H16d zenon_H4a zenon_Hf6 zenon_H226 zenon_H1c5 zenon_H4b zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H50 zenon_H52 zenon_H83 zenon_H1d8 zenon_H1 zenon_H17. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L8_); trivial. % 0.92/1.16 apply (zenon_L734_); trivial. % 0.92/1.16 (* end of lemma zenon_L769_ *) % 0.92/1.16 assert (zenon_L770_ : ((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1865))) -> (~(c2_1 (a1865))) -> (~(c3_1 (a1865))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H80 zenon_H16c zenon_H4a zenon_Hf6 zenon_H226 zenon_H1c5 zenon_H4b zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H1d8 zenon_H1 zenon_H17 zenon_H24f zenon_H250 zenon_H251 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L606_); trivial. % 0.92/1.16 apply (zenon_L769_); trivial. % 0.92/1.16 (* end of lemma zenon_L770_ *) % 0.92/1.16 assert (zenon_L771_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> (~(c3_1 (a1863))) -> (~(c1_1 (a1863))) -> (c2_1 (a1863)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H288 zenon_H7f zenon_H16c zenon_H4a zenon_H226 zenon_H1c5 zenon_H1de zenon_H1d8 zenon_H17 zenon_H2c3 zenon_Hf7 zenon_H210 zenon_H2cb zenon_H2cc zenon_H2cd zenon_H1dc zenon_H25a zenon_Hf6 zenon_H4d zenon_H4b zenon_H1 zenon_H5d zenon_H29c zenon_H29d zenon_H29e zenon_H230 zenon_H231 zenon_H232 zenon_Hab zenon_Haa zenon_Hac zenon_H2ae zenon_H24a zenon_H45. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.16 apply (zenon_L602_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L768_); trivial. % 0.92/1.16 apply (zenon_L770_); trivial. % 0.92/1.16 (* end of lemma zenon_L771_ *) % 0.92/1.16 assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1857))) -> (~(c3_1 (a1857))) -> (c2_1 (a1857)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> (c3_1 (a1852)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H1b1 zenon_H7f zenon_H1de zenon_H226 zenon_H1 zenon_H230 zenon_H231 zenon_H232 zenon_H262 zenon_H29c zenon_H29d zenon_H29e zenon_H2cb zenon_H2cc zenon_H2b3 zenon_H2cd zenon_H1dc zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H227 ]. % 0.92/1.16 apply (zenon_L759_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H2 ]. % 0.92/1.16 apply (zenon_L370_); trivial. % 0.92/1.16 exact (zenon_H1 zenon_H2). % 0.92/1.16 apply (zenon_L700_); trivial. % 0.92/1.16 apply (zenon_L728_); trivial. % 0.92/1.16 (* end of lemma zenon_L772_ *) % 0.92/1.16 assert (zenon_L773_ : ((ndr1_0)/\((c2_1 (a1857))/\((~(c0_1 (a1857)))/\(~(c3_1 (a1857)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c2_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1878))/\((c2_1 (a1878))/\(c3_1 (a1878)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((hskp27)\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c3_1 X44)\/((~(c0_1 X44))\/(~(c2_1 X44)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/(hskp27))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H294 zenon_H26f zenon_H289 zenon_H1ae zenon_H1dc zenon_H22c zenon_H1ea zenon_H146 zenon_H29c zenon_H29d zenon_H29e zenon_H2b3 zenon_H45 zenon_H40 zenon_H4d zenon_H7e zenon_H79 zenon_H6d zenon_H5d zenon_H210 zenon_H1de zenon_H2cd zenon_H2cb zenon_H2cc zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H7f zenon_H1b0 zenon_H288 zenon_H16c zenon_H4a zenon_H1d8 zenon_H17 zenon_H2c3 zenon_Hf7 zenon_H25a zenon_H2ae zenon_H24a zenon_H262 zenon_H274. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L765_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L771_); trivial. % 0.92/1.16 apply (zenon_L772_); trivial. % 0.92/1.16 apply (zenon_L764_); trivial. % 0.92/1.16 (* end of lemma zenon_L773_ *) % 0.92/1.16 assert (zenon_L774_ : ((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> (c1_1 (a1852)) -> (~(c2_1 (a1852))) -> (c3_1 (a1852)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a1853))) -> (c1_1 (a1853)) -> (c3_1 (a1853)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H285 zenon_H1b0 zenon_H7f zenon_H16c zenon_H4a zenon_Hf6 zenon_H226 zenon_H1c5 zenon_H2cc zenon_H2cb zenon_H2cd zenon_H1de zenon_H1d8 zenon_H17 zenon_H29c zenon_H29d zenon_H29e zenon_H2c3 zenon_H6d zenon_H79 zenon_H7e zenon_H4d zenon_H4b zenon_H1 zenon_H31 zenon_H40 zenon_H45. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L27_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L34_); trivial. % 0.92/1.16 apply (zenon_L770_); trivial. % 0.92/1.16 (* end of lemma zenon_L774_ *) % 0.92/1.16 assert (zenon_L775_ : ((ndr1_0)/\((c2_1 (a1856))/\((c3_1 (a1856))/\(~(c1_1 (a1856)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1862))/\((c1_1 (a1862))/\(~(c2_1 (a1862))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp18))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1864))/\((c3_1 (a1864))/\(~(c1_1 (a1864))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c2_1 X36)\/(~(c0_1 X36))))))\/((hskp26)\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c1_1 X86))\/(~(c3_1 X86)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a1858))/\((c1_1 (a1858))/\(c3_1 (a1858)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a1867)))/\((~(c2_1 (a1867)))/\(~(c3_1 (a1867))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a1870))/\((~(c0_1 (a1870)))/\(~(c3_1 (a1870))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1899))/\((~(c2_1 (a1899)))/\(~(c3_1 (a1899))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c2_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(c3_1 X8)))))\/((hskp22)\/(hskp16))) -> ((hskp18)\/((hskp10)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((~(c0_1 X52))\/(~(c3_1 X52))))))\/(forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))))) -> (c3_1 (a1852)) -> (~(c2_1 (a1852))) -> (c1_1 (a1852)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c2_1 X26)\/((~(c0_1 X26))\/(~(c1_1 X26))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c1_1 X14))\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((~(c0_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1877))/\((c2_1 (a1877))/\(c3_1 (a1877)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1875))/\((c1_1 (a1875))/\(~(c3_1 (a1875))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a1872))/\((c3_1 (a1872))/\(~(c0_1 (a1872))))))) -> ((hskp8)\/((hskp10)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp9)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1919))/\((~(c1_1 (a1919)))/\(~(c2_1 (a1919))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(c3_1 X21)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a1853)) -> (c1_1 (a1853)) -> (~(c0_1 (a1853))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/((hskp8)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a1874))/\((c2_1 (a1874))/\(~(c1_1 (a1874))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a1865)))/\((~(c2_1 (a1865)))/\(~(c3_1 (a1865))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c1_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1863))/\((~(c1_1 (a1863)))/\(~(c3_1 (a1863))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H2ea zenon_H26f zenon_H289 zenon_H1ae zenon_H1dc zenon_H22c zenon_H1ea zenon_H146 zenon_H2b3 zenon_H1b0 zenon_H185 zenon_H283 zenon_H7e zenon_H79 zenon_H6d zenon_H2b5 zenon_H1d8 zenon_H1de zenon_H2cd zenon_H2cb zenon_H2cc zenon_H1c5 zenon_H226 zenon_Hf6 zenon_H4a zenon_H7f zenon_H4d zenon_H40 zenon_H45 zenon_H2c3 zenon_H29e zenon_H29d zenon_H29c zenon_H17 zenon_H16c zenon_H288 zenon_H210 zenon_H244 zenon_H274. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L27_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L34_); trivial. % 0.92/1.16 apply (zenon_L735_); trivial. % 0.92/1.16 apply (zenon_L384_); trivial. % 0.92/1.16 apply (zenon_L774_); trivial. % 0.92/1.16 apply (zenon_L762_); trivial. % 0.92/1.16 apply (zenon_L750_); trivial. % 0.92/1.16 apply (zenon_L764_); trivial. % 0.92/1.16 (* end of lemma zenon_L775_ *) % 0.92/1.16 apply NNPP. intro zenon_G. % 0.92/1.16 apply zenon_G. zenon_intro zenon_H2ed. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2f3. zenon_intro zenon_H2f2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H298. zenon_intro zenon_H2f8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H295. zenon_intro zenon_H2f9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H273. zenon_intro zenon_H2fa. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H26f. zenon_intro zenon_H2fb. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H274. zenon_intro zenon_H2fc. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H1ae. zenon_intro zenon_H2fd. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H288. zenon_intro zenon_H2fe. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1af. zenon_intro zenon_H2ff. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H1b0. zenon_intro zenon_H300. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H184. zenon_intro zenon_H301. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H185. zenon_intro zenon_H302. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H7f. zenon_intro zenon_H303. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H16c. zenon_intro zenon_H304. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H4a. zenon_intro zenon_H305. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H174. zenon_intro zenon_H306. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H126. zenon_intro zenon_H307. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H114. zenon_intro zenon_H308. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H7e. zenon_intro zenon_H309. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H115. zenon_intro zenon_H30a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H45. zenon_intro zenon_H30b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Ha4. zenon_intro zenon_H30c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H146. zenon_intro zenon_H30d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Hf6. zenon_intro zenon_H30e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_Hf7. zenon_intro zenon_H30f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hd7. zenon_intro zenon_H310. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H208. zenon_intro zenon_H311. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H24c. zenon_intro zenon_H312. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H1e0. zenon_intro zenon_H313. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H1fe. zenon_intro zenon_H314. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H1a9. zenon_intro zenon_H317. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H299. zenon_intro zenon_H318. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H172. zenon_intro zenon_H319. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H142. zenon_intro zenon_H31a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H2c1. zenon_intro zenon_H31b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H5f. zenon_intro zenon_H31c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H24a. zenon_intro zenon_H31d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H122. zenon_intro zenon_H31e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H155. zenon_intro zenon_H31f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H110. zenon_intro zenon_H320. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H16a. zenon_intro zenon_H321. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H2c3. zenon_intro zenon_H322. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H258. zenon_intro zenon_H323. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H25a. zenon_intro zenon_H324. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H22e. zenon_intro zenon_H325. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H226. zenon_intro zenon_H326. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H328. zenon_intro zenon_H327. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H283. zenon_intro zenon_H329. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H193. zenon_intro zenon_H32a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H168. zenon_intro zenon_H32b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H262. zenon_intro zenon_H32c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H5d. zenon_intro zenon_H32d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H1da. zenon_intro zenon_H32e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_Hf8. zenon_intro zenon_H32f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2ae. zenon_intro zenon_H330. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H2b3. zenon_intro zenon_H331. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H14c. zenon_intro zenon_H332. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H210. zenon_intro zenon_H333. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H1de. zenon_intro zenon_H334. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H245. zenon_intro zenon_H335. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H1d8. zenon_intro zenon_H336. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H194. zenon_intro zenon_H337. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H189. zenon_intro zenon_H33a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H6d. zenon_intro zenon_H33b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H22c. zenon_intro zenon_H33c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H79. zenon_intro zenon_H33d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H21a. zenon_intro zenon_H33e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H40. zenon_intro zenon_H33f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1a7. zenon_intro zenon_H340. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_Hd3. zenon_intro zenon_H341. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H244. zenon_intro zenon_H342. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_Hb5. zenon_intro zenon_H343. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H17. zenon_intro zenon_H344. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H129. zenon_intro zenon_H345. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H92. zenon_intro zenon_H346. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H289. zenon_intro zenon_H347. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1ea. zenon_intro zenon_H348. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H1d2. zenon_intro zenon_H349. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H1fc. zenon_intro zenon_H34a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H13f. zenon_intro zenon_H34b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34d. zenon_intro zenon_H34c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H46. zenon_intro zenon_H34e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H1c5. zenon_intro zenon_H34f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H2e0. zenon_intro zenon_H350. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H182. zenon_intro zenon_H351. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1dc. zenon_intro zenon_H352. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2d4. zenon_intro zenon_H353. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H2d. zenon_intro zenon_H356. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_He4. zenon_intro zenon_H357. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hbb. zenon_intro zenon_H358. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H7. zenon_intro zenon_H359. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H4d. zenon_intro zenon_H35a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H2b5. zenon_intro zenon_H35b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H170. zenon_intro zenon_H35c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H35e. zenon_intro zenon_H35d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1b7. zenon_intro zenon_H35f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_Ha5. zenon_intro zenon_H360. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H29 | zenon_intro zenon_H361 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H90 | zenon_intro zenon_H362 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H10d | zenon_intro zenon_H363 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L27_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_L35_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_L39_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_L126_); trivial. % 0.92/1.16 apply (zenon_L133_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L177_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_L126_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L131_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L199_); trivial. % 0.92/1.16 apply (zenon_L149_); trivial. % 0.92/1.16 apply (zenon_L202_); trivial. % 0.92/1.16 apply (zenon_L210_); trivial. % 0.92/1.16 apply (zenon_L241_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L131_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_L243_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L199_); trivial. % 0.92/1.16 apply (zenon_L249_); trivial. % 0.92/1.16 apply (zenon_L202_); trivial. % 0.92/1.16 apply (zenon_L210_); trivial. % 0.92/1.16 apply (zenon_L241_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L256_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L258_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L8_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 0.92/1.16 apply (zenon_L47_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.16 apply (zenon_L262_); trivial. % 0.92/1.16 apply (zenon_L93_); trivial. % 0.92/1.16 apply (zenon_L96_); trivial. % 0.92/1.16 apply (zenon_L71_); trivial. % 0.92/1.16 apply (zenon_L263_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_L157_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_L116_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L118_); trivial. % 0.92/1.16 apply (zenon_L264_); trivial. % 0.92/1.16 apply (zenon_L125_); trivial. % 0.92/1.16 apply (zenon_L265_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L266_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_L280_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L8_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L283_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.16 apply (zenon_L267_); trivial. % 0.92/1.16 apply (zenon_L282_); trivial. % 0.92/1.16 apply (zenon_L288_); trivial. % 0.92/1.16 apply (zenon_L290_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L283_); trivial. % 0.92/1.16 apply (zenon_L293_); trivial. % 0.92/1.16 apply (zenon_L297_); trivial. % 0.92/1.16 apply (zenon_L298_); trivial. % 0.92/1.16 apply (zenon_L299_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_L304_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L8_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L312_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.16 apply (zenon_L267_); trivial. % 0.92/1.16 apply (zenon_L311_); trivial. % 0.92/1.16 apply (zenon_L303_); trivial. % 0.92/1.16 apply (zenon_L314_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L312_); trivial. % 0.92/1.16 apply (zenon_L293_); trivial. % 0.92/1.16 apply (zenon_L89_); trivial. % 0.92/1.16 apply (zenon_L314_); trivial. % 0.92/1.16 apply (zenon_L315_); trivial. % 0.92/1.16 apply (zenon_L132_); trivial. % 0.92/1.16 apply (zenon_L133_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L336_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_L280_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L338_); trivial. % 0.92/1.16 apply (zenon_L89_); trivial. % 0.92/1.16 apply (zenon_L290_); trivial. % 0.92/1.16 apply (zenon_L299_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_L304_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 0.92/1.16 apply (zenon_L4_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L312_); trivial. % 0.92/1.16 apply (zenon_L337_); trivial. % 0.92/1.16 apply (zenon_L288_); trivial. % 0.92/1.16 apply (zenon_L314_); trivial. % 0.92/1.16 apply (zenon_L315_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_L114_); trivial. % 0.92/1.16 apply (zenon_L346_); trivial. % 0.92/1.16 apply (zenon_L352_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L131_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L199_); trivial. % 0.92/1.16 apply (zenon_L358_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 0.92/1.16 apply (zenon_L360_); trivial. % 0.92/1.16 apply (zenon_L363_); trivial. % 0.92/1.16 apply (zenon_L109_); trivial. % 0.92/1.16 apply (zenon_L364_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 0.92/1.16 apply (zenon_L369_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 0.92/1.16 apply (zenon_L367_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 0.92/1.16 apply (zenon_L350_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 0.92/1.16 apply (zenon_L106_); trivial. % 0.92/1.16 apply (zenon_L354_); trivial. % 0.92/1.16 apply (zenon_L316_); trivial. % 0.92/1.16 apply (zenon_L375_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_L266_); trivial. % 0.92/1.16 apply (zenon_L428_); trivial. % 0.92/1.16 apply (zenon_L133_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L134_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 0.92/1.16 apply (zenon_L436_); trivial. % 0.92/1.16 apply (zenon_L451_); trivial. % 0.92/1.16 apply (zenon_L428_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.92/1.16 apply (zenon_L131_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_L454_); trivial. % 1.04/1.16 apply (zenon_L457_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_L458_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_L453_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L452_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_L463_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_L107_); trivial. % 1.04/1.16 apply (zenon_L462_); trivial. % 1.04/1.16 apply (zenon_L456_); trivial. % 1.04/1.16 apply (zenon_L457_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L465_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_L467_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_L468_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L452_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_L197_); trivial. % 1.04/1.16 apply (zenon_L470_); trivial. % 1.04/1.16 apply (zenon_L456_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_L468_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_L467_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L452_); trivial. % 1.04/1.16 apply (zenon_L471_); trivial. % 1.04/1.16 apply (zenon_L109_); trivial. % 1.04/1.16 apply (zenon_L468_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L452_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_L472_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_L473_); trivial. % 1.04/1.16 apply (zenon_L409_); trivial. % 1.04/1.16 apply (zenon_L456_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L452_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_L472_); trivial. % 1.04/1.16 apply (zenon_L475_); trivial. % 1.04/1.16 apply (zenon_L478_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.16 apply (zenon_L266_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L258_); trivial. % 1.04/1.16 apply (zenon_L132_); trivial. % 1.04/1.16 apply (zenon_L133_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L134_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_L481_); trivial. % 1.04/1.16 apply (zenon_L451_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L258_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.16 apply (zenon_L4_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L8_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_L418_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H12c. zenon_intro zenon_H159. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 1.04/1.16 apply (zenon_L424_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 1.04/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 1.04/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H127 | zenon_intro zenon_H141 ]. % 1.04/1.16 apply (zenon_L262_); trivial. % 1.04/1.16 apply (zenon_L328_); trivial. % 1.04/1.16 apply (zenon_L378_); trivial. % 1.04/1.16 apply (zenon_L102_); trivial. % 1.04/1.16 apply (zenon_L96_); trivial. % 1.04/1.16 apply (zenon_L71_); trivial. % 1.04/1.16 apply (zenon_L263_); trivial. % 1.04/1.16 apply (zenon_L386_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L427_); trivial. % 1.04/1.16 apply (zenon_L479_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_L482_); trivial. % 1.04/1.16 apply (zenon_L265_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.16 apply (zenon_L266_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_L385_); trivial. % 1.04/1.16 apply (zenon_L279_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L383_); trivial. % 1.04/1.16 apply (zenon_L288_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_L386_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L398_); trivial. % 1.04/1.16 apply (zenon_L303_); trivial. % 1.04/1.16 apply (zenon_L484_); trivial. % 1.04/1.16 apply (zenon_L279_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L410_); trivial. % 1.04/1.16 apply (zenon_L303_); trivial. % 1.04/1.16 apply (zenon_L416_); trivial. % 1.04/1.16 apply (zenon_L315_); trivial. % 1.04/1.16 apply (zenon_L132_); trivial. % 1.04/1.16 apply (zenon_L133_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L134_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_L486_); trivial. % 1.04/1.16 apply (zenon_L488_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L495_); trivial. % 1.04/1.16 apply (zenon_L89_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_L279_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_L497_); trivial. % 1.04/1.16 apply (zenon_L384_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_L499_); trivial. % 1.04/1.16 apply (zenon_L303_); trivial. % 1.04/1.16 apply (zenon_L484_); trivial. % 1.04/1.16 apply (zenon_L279_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.16 apply (zenon_L4_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L8_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_L498_); trivial. % 1.04/1.16 apply (zenon_L311_); trivial. % 1.04/1.16 apply (zenon_L337_); trivial. % 1.04/1.16 apply (zenon_L288_); trivial. % 1.04/1.16 apply (zenon_L315_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.16 apply (zenon_L4_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L8_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.16 apply (zenon_L500_); trivial. % 1.04/1.16 apply (zenon_L490_); trivial. % 1.04/1.16 apply (zenon_L71_); trivial. % 1.04/1.16 apply (zenon_L501_); trivial. % 1.04/1.16 apply (zenon_L89_); trivial. % 1.04/1.16 apply (zenon_L110_); trivial. % 1.04/1.16 apply (zenon_L386_); trivial. % 1.04/1.16 apply (zenon_L503_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.16 apply (zenon_L4_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.16 apply (zenon_L8_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H157 ]. % 1.04/1.16 apply (zenon_L504_); trivial. % 1.04/1.16 apply (zenon_L501_); trivial. % 1.04/1.16 apply (zenon_L89_); trivial. % 1.04/1.16 apply (zenon_L110_); trivial. % 1.04/1.16 apply (zenon_L508_); trivial. % 1.04/1.16 apply (zenon_L352_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c8. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ba. zenon_intro zenon_H1c9. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.16 apply (zenon_L509_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_L454_); trivial. % 1.04/1.16 apply (zenon_L364_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.16 apply (zenon_L458_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.16 apply (zenon_L453_); trivial. % 1.04/1.16 apply (zenon_L512_); trivial. % 1.04/1.16 apply (zenon_L457_); trivial. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.16 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.16 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L465_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L466_); trivial. % 1.04/1.17 apply (zenon_L358_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_L452_); trivial. % 1.04/1.17 apply (zenon_L363_); trivial. % 1.04/1.17 apply (zenon_L109_); trivial. % 1.04/1.17 apply (zenon_L364_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L367_); trivial. % 1.04/1.17 apply (zenon_L514_); trivial. % 1.04/1.17 apply (zenon_L375_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_Ha. zenon_intro zenon_H364. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H28b. zenon_intro zenon_H365. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_L542_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_L522_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L518_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L546_); trivial. % 1.04/1.17 apply (zenon_L559_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L518_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 1.04/1.17 apply (zenon_L211_); trivial. % 1.04/1.17 apply (zenon_L524_); trivial. % 1.04/1.17 apply (zenon_L517_); trivial. % 1.04/1.17 apply (zenon_L89_); trivial. % 1.04/1.17 apply (zenon_L384_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L560_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L562_); trivial. % 1.04/1.17 apply (zenon_L416_); trivial. % 1.04/1.17 apply (zenon_L405_); trivial. % 1.04/1.17 apply (zenon_L521_); trivial. % 1.04/1.17 apply (zenon_L541_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Ha. zenon_intro zenon_H366. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H29d. zenon_intro zenon_H367. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H29e. zenon_intro zenon_H29c. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H10d | zenon_intro zenon_H363 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L177_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L566_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_L157_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L570_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 1.04/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 1.04/1.17 apply (zenon_L244_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hd9. zenon_intro zenon_Hfd. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 1.04/1.17 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hfe ]. % 1.04/1.17 apply (zenon_L58_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Ha. zenon_intro zenon_Hff. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_He7. zenon_intro zenon_H100. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He8. zenon_intro zenon_H101. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H12b | zenon_intro zenon_H145 ]. % 1.04/1.17 apply (zenon_L568_); trivial. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H1a | zenon_intro zenon_H95 ]. % 1.04/1.17 apply (zenon_L572_); trivial. % 1.04/1.17 exact (zenon_H94 zenon_H95). % 1.04/1.17 apply (zenon_L573_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L256_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L566_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L570_); trivial. % 1.04/1.17 apply (zenon_L263_); trivial. % 1.04/1.17 apply (zenon_L573_); trivial. % 1.04/1.17 apply (zenon_L265_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L599_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L602_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L609_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 1.04/1.17 apply (zenon_L47_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_L21_); trivial. % 1.04/1.17 apply (zenon_L613_); trivial. % 1.04/1.17 apply (zenon_L67_); trivial. % 1.04/1.17 apply (zenon_L89_); trivial. % 1.04/1.17 apply (zenon_L618_); trivial. % 1.04/1.17 apply (zenon_L608_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L566_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_L157_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.17 apply (zenon_L30_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 1.04/1.17 apply (zenon_L603_); trivial. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H33 | zenon_intro zenon_H2 ]. % 1.04/1.17 apply (zenon_L138_); trivial. % 1.04/1.17 exact (zenon_H1 zenon_H2). % 1.04/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H6f | zenon_intro zenon_H10e ]. % 1.04/1.17 apply (zenon_L31_); trivial. % 1.04/1.17 exact (zenon_H10d zenon_H10e). % 1.04/1.17 apply (zenon_L604_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.17 apply (zenon_L115_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H111. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H106. zenon_intro zenon_H112. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.17 apply (zenon_L101_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_Ha. zenon_intro zenon_H7c. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H72. zenon_intro zenon_H7d. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_L344_); trivial. % 1.04/1.17 apply (zenon_L604_); trivial. % 1.04/1.17 apply (zenon_L345_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L625_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_L8_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.17 apply (zenon_L97_); trivial. % 1.04/1.17 apply (zenon_L629_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L625_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_L8_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.17 apply (zenon_L97_); trivial. % 1.04/1.17 apply (zenon_L632_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_L157_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.17 apply (zenon_L115_); trivial. % 1.04/1.17 apply (zenon_L631_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L336_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L602_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L609_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hf5 ]. % 1.04/1.17 apply (zenon_L47_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf9. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hc0. zenon_intro zenon_Hfa. % 1.04/1.17 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_L347_); trivial. % 1.04/1.17 apply (zenon_L613_); trivial. % 1.04/1.17 apply (zenon_L85_); trivial. % 1.04/1.17 apply (zenon_L607_); trivial. % 1.04/1.17 apply (zenon_L635_); trivial. % 1.04/1.17 apply (zenon_L608_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L566_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_L157_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L637_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H52. zenon_intro zenon_H82. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H83. zenon_intro zenon_H50. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.17 apply (zenon_L101_); trivial. % 1.04/1.17 apply (zenon_L636_); trivial. % 1.04/1.17 apply (zenon_L345_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_L347_); trivial. % 1.04/1.17 apply (zenon_L623_); trivial. % 1.04/1.17 apply (zenon_L89_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_L8_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H10f ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2b | zenon_intro zenon_H3f ]. % 1.04/1.17 apply (zenon_L329_); trivial. % 1.04/1.17 apply (zenon_L623_); trivial. % 1.04/1.17 apply (zenon_L636_); trivial. % 1.04/1.17 apply (zenon_L96_); trivial. % 1.04/1.17 apply (zenon_L629_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_Ha. zenon_intro zenon_H187. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H188. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6b | zenon_intro zenon_H7b ]. % 1.04/1.17 apply (zenon_L630_); trivial. % 1.04/1.17 apply (zenon_L636_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L637_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L256_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L602_); trivial. % 1.04/1.17 apply (zenon_L482_); trivial. % 1.04/1.17 apply (zenon_L372_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L429_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L596_); trivial. % 1.04/1.17 apply (zenon_L384_); trivial. % 1.04/1.17 apply (zenon_L386_); trivial. % 1.04/1.17 apply (zenon_L645_); trivial. % 1.04/1.17 apply (zenon_L654_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L436_); trivial. % 1.04/1.17 apply (zenon_L645_); trivial. % 1.04/1.17 apply (zenon_L654_); trivial. % 1.04/1.17 apply (zenon_L655_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L481_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L642_); trivial. % 1.04/1.17 apply (zenon_L480_); trivial. % 1.04/1.17 apply (zenon_L654_); trivial. % 1.04/1.17 apply (zenon_L265_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L658_); trivial. % 1.04/1.17 apply (zenon_L660_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L602_); trivial. % 1.04/1.17 apply (zenon_L653_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L646_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 1.04/1.17 apply (zenon_L621_); trivial. % 1.04/1.17 apply (zenon_L649_); trivial. % 1.04/1.17 apply (zenon_L89_); trivial. % 1.04/1.17 apply (zenon_L384_); trivial. % 1.04/1.17 apply (zenon_L662_); trivial. % 1.04/1.17 apply (zenon_L655_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L486_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L642_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L663_); trivial. % 1.04/1.17 apply (zenon_L643_); trivial. % 1.04/1.17 apply (zenon_L659_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L602_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L665_); trivial. % 1.04/1.17 apply (zenon_L652_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L566_); trivial. % 1.04/1.17 apply (zenon_L666_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hfb ]. % 1.04/1.17 apply (zenon_L320_); trivial. % 1.04/1.17 apply (zenon_L649_); trivial. % 1.04/1.17 apply (zenon_L589_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H24f. zenon_intro zenon_H287. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H250. zenon_intro zenon_H251. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L665_); trivial. % 1.04/1.17 apply (zenon_L661_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_L670_); trivial. % 1.04/1.17 apply (zenon_L655_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_Ha. zenon_intro zenon_H364. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H28b. zenon_intro zenon_H365. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_L516_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L673_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L168_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L657_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H3 | zenon_intro zenon_H16d ]. % 1.04/1.17 apply (zenon_L4_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_Hd. zenon_intro zenon_H16f. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H15 | zenon_intro zenon_H44 ]. % 1.04/1.17 apply (zenon_L8_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H1b. zenon_intro zenon_H48. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H121 ]. % 1.04/1.17 apply (zenon_L154_); trivial. % 1.04/1.17 apply (zenon_L533_); trivial. % 1.04/1.17 apply (zenon_L598_); trivial. % 1.04/1.17 apply (zenon_L175_); trivial. % 1.04/1.17 apply (zenon_L674_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_L675_); trivial. % 1.04/1.17 apply (zenon_L167_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H151 | zenon_intro zenon_H186 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_L676_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H161. zenon_intro zenon_H177. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L330_); trivial. % 1.04/1.17 apply (zenon_L677_); trivial. % 1.04/1.17 apply (zenon_L679_); trivial. % 1.04/1.17 apply (zenon_L681_); trivial. % 1.04/1.17 apply (zenon_L674_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_L682_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H94 | zenon_intro zenon_H272 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11f | zenon_intro zenon_H1ab ]. % 1.04/1.17 apply (zenon_L429_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_Ha. zenon_intro zenon_H1ac. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H19b. zenon_intro zenon_H1ad. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H3d | zenon_intro zenon_H1b4 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L136_); trivial. % 1.04/1.17 apply (zenon_L683_); trivial. % 1.04/1.17 apply (zenon_L384_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_Ha. zenon_intro zenon_H1b5. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H62. zenon_intro zenon_H1b6. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H63. zenon_intro zenon_H64. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H2f | zenon_intro zenon_H175 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H5 | zenon_intro zenon_H80 ]. % 1.04/1.17 apply (zenon_L158_); trivial. % 1.04/1.17 apply (zenon_L683_); trivial. % 1.04/1.17 apply (zenon_L384_); trivial. % 1.04/1.17 apply (zenon_L688_); trivial. % 1.04/1.17 apply (zenon_L674_); trivial. % 1.04/1.17 apply (zenon_L655_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L690_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L546_); trivial. % 1.04/1.17 apply (zenon_L688_); trivial. % 1.04/1.17 apply (zenon_L674_); trivial. % 1.04/1.17 apply (zenon_L590_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_Ha. zenon_intro zenon_H275. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H21f. zenon_intro zenon_H276. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H21d. zenon_intro zenon_H21e. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L134_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_Ha. zenon_intro zenon_H1b2. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H86. zenon_intro zenon_H1b3. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H87. zenon_intro zenon_H85. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H248 | zenon_intro zenon_H285 ]. % 1.04/1.17 apply (zenon_L481_); trivial. % 1.04/1.17 apply (zenon_L691_); trivial. % 1.04/1.17 apply (zenon_L674_); trivial. % 1.04/1.17 apply (zenon_L655_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_Ha. zenon_intro zenon_H368. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2cc. zenon_intro zenon_H369. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H2cd. zenon_intro zenon_H2cb. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H90 | zenon_intro zenon_H362 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H10d | zenon_intro zenon_H363 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_L724_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L731_); trivial. % 1.04/1.17 apply (zenon_L706_); trivial. % 1.04/1.17 apply (zenon_L732_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L704_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Ha. zenon_intro zenon_H278. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hac. zenon_intro zenon_H279. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L742_); trivial. % 1.04/1.17 apply (zenon_L132_); trivial. % 1.04/1.17 apply (zenon_L723_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L744_); trivial. % 1.04/1.17 apply (zenon_L745_); trivial. % 1.04/1.17 apply (zenon_L746_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_L724_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_L731_); trivial. % 1.04/1.17 apply (zenon_L750_); trivial. % 1.04/1.17 apply (zenon_L732_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Ha. zenon_intro zenon_H296. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H232. zenon_intro zenon_H297. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H230. zenon_intro zenon_H231. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H8e | zenon_intro zenon_H26e ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L751_); trivial. % 1.04/1.17 apply (zenon_L752_); trivial. % 1.04/1.17 apply (zenon_L750_); trivial. % 1.04/1.17 apply (zenon_L723_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_Ha. zenon_intro zenon_H270. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H1ed. zenon_intro zenon_H271. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1f5. zenon_intro zenon_H1ec. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L751_); trivial. % 1.04/1.17 apply (zenon_L745_); trivial. % 1.04/1.17 apply (zenon_L750_); trivial. % 1.04/1.17 apply (zenon_L746_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_Ha. zenon_intro zenon_H364. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H28b. zenon_intro zenon_H365. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_L755_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Ha. zenon_intro zenon_H2eb. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H27b. zenon_intro zenon_H2ec. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H27c. zenon_intro zenon_H27a. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L518_); trivial. % 1.04/1.17 apply (zenon_L752_); trivial. % 1.04/1.17 apply (zenon_L757_); trivial. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Ha. zenon_intro zenon_H366. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H29d. zenon_intro zenon_H367. % 1.04/1.17 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H29e. zenon_intro zenon_H29c. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H153 | zenon_intro zenon_H2ea ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H96 | zenon_intro zenon_H294 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1 | zenon_intro zenon_H1c7 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H31 | zenon_intro zenon_H277 ]. % 1.04/1.17 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 1.04/1.17 apply (zenon_L758_); trivial. % 1.04/1.17 apply (zenon_L762_); trivial. % 1.04/1.17 apply (zenon_L706_); trivial. % 1.04/1.17 apply (zenon_L764_); trivial. % 1.04/1.17 apply (zenon_L773_); trivial. % 1.04/1.17 apply (zenon_L775_); trivial. % 1.04/1.17 Qed. % 1.04/1.17 % SZS output end Proof % 1.04/1.17 (* END-PROOF *) % 1.04/1.17 nodes searched: 34570 % 1.04/1.17 max branch formulas: 516 % 1.04/1.17 proof nodes created: 6478 % 1.04/1.17 formulas created: 41359 % 1.04/1.17 %------------------------------------------------------------------------------